Mercurial > hg > mpdl-xml-content
annotate texts/XML/echo/en/Harriot_Add_MS_6788_AYB35Z4D.xml @ 6:22d6a63640c6
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| author | casties |
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| date | Fri, 07 Dec 2012 17:05:22 +0100 |
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1 <?xml version="1.0" encoding="utf-8"?><echo xmlns="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:de="http://www.mpiwg-berlin.mpg.de/ns/de/1.0/" xmlns:dcterms="http://purl.org/dc/terms" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.0RC"> |
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2 <metadata> |
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3 <dcterms:identifier>ECHO:AYB35Z4D.xml</dcterms:identifier> |
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4 <dcterms:creator>Harriot, Thomas</dcterms:creator> |
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5 <dcterms:title xml:lang="en">Mss. 6788</dcterms:title> |
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6 <dcterms:date xsi:type="dcterms:W3CDTF">null</dcterms:date> |
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7 <dcterms:language xsi:type="dcterms:ISO639-3">eng</dcterms:language> |
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8 <dcterms:rights>CC-BY-SA</dcterms:rights> |
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9 <dcterms:license xlink:href="http://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA</dcterms:license> |
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10 <dcterms:rightsHolder xlink:href="http://www.mpiwg-berlin.mpg.de">Max Planck Institute for the History of Science, Library</dcterms:rightsHolder> |
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11 <echodir>/permanent/library/AYB35Z4D</echodir> |
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12 <log>Automatically generated by BareEchoXml.java on 13-Mar-2012 17:47</log> |
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13 </metadata> |
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14 |
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15 <text xml:lang="eng" type="free"> |
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16 <div xml:id="echoid-div1" type="section" level="1" n="1"> |
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17 <pb file="0001.jpg" o="1r" n="1"/> |
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18 <pb file="0002.jpg" o="1v" n="2"/> |
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19 <pb file="0003.jpg" o="2r" n="3"/> |
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20 <head xml:id="echoid-head1" xml:space="preserve"> |
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21 [b].) Length of mastes by calculation |
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22 in feet, & tenths of a foote. |
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23 </head> |
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24 <p> |
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25 <s xml:id="echoid-s1" xml:space="preserve"> |
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26 The ships: <lb/> |
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27 depth: breadth: length: |
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28 </s> |
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29 <lb/> |
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30 <s xml:id="echoid-s2" xml:space="preserve"> |
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31 Tonnes <lb/> |
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32 of <lb/> |
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33 burden. |
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34 </s> |
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35 <lb/> |
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36 <s xml:id="echoid-s3" xml:space="preserve"> |
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37 bredth of <lb/> |
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38 the ship. |
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39 </s> |
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40 <lb/> |
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41 <s xml:id="echoid-s4" xml:space="preserve"> |
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42 lengths of the <lb/> |
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43 mayne mast. |
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44 </s> |
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45 <lb/> |
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46 <s xml:id="echoid-s5" xml:space="preserve"> |
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47 Differences |
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48 </s> |
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49 </p> |
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50 <p> |
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51 <s xml:id="echoid-s6" xml:space="preserve"> |
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52 The tonnes here were <lb/> |
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53 found by cubicall proportion. <lb/> |
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54 The which Mr Bakers rule <lb/> |
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55 doth <emph style="super">also</emph> bring forth <reg norm="instantly" type="abbr">instly</reg>. |
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56 </s> |
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57 </p> |
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58 <p> |
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59 <s xml:id="echoid-s7" xml:space="preserve"> |
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60 The caracte taken by Sr John Burrows 1592. voyadger 2. <emph style="super">p.</emph> 198. <lb/> |
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61 depth. bredth. lengthe. lengthe of the maste. circuit at the parteners. mayne yard. <lb/> |
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62 </s> |
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63 <lb/> |
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64 <s xml:id="echoid-s8" xml:space="preserve"> |
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65 Tonnage by judgement & report. 1600. tonne. <lb/> |
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66 by the former rule of Baker. 1457. tonne. |
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67 </s> |
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68 </p> |
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69 <p> |
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70 <s xml:id="echoid-s9" xml:space="preserve"> |
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71 The Prince <lb/> |
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72 1610. <lb/> |
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73 [???]. <lb/> |
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74 Sept. 25. |
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75 </s> |
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76 </p> |
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77 <p> |
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78 <s xml:id="echoid-s10" xml:space="preserve"> |
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79 length. 132f. by the keele (21f rake of the poste, 45f rake of the stern) <lb/> |
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80 beake end <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn><mn>3</mn><mn>2</mn></mrow><mrow><mn>6</mn></mrow></mfrac><mo>=</mo><mn>2</mn><mn>2</mn></mstyle></math> <lb/> |
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81 summe: 220f <lb/> |
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82 bredth. 44f <lb/> |
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83 width. 18f. maide. likely to draw 19f laden. |
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84 </s> |
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85 </p> |
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86 <pb file="0004.jpg" o="2v" n="4"/> |
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87 <p xml:lang="lat"> |
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88 <s xml:id="echoid-s11" xml:space="preserve"> |
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89 Nota pro pagina (a) |
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90 <lb/>[<emph style="it">tr: |
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91 Note for page a. |
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92 </emph>]<lb/> |
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93 </s> |
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94 </p> |
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95 <pb file="0005.jpg" o="3r" n="5"/> |
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96 <head xml:id="echoid-head2" xml:space="preserve"> |
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97 [a].) for the mastes of ships (mayne mast) |
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98 </head> |
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99 <p> |
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100 <s xml:id="echoid-s12" xml:space="preserve"> |
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101 By experience: as the bredth <lb/> |
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102 the maste: |
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103 </s> |
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104 </p> |
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105 <p> |
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106 <s xml:id="echoid-s13" xml:space="preserve"> |
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107 Data: Mastes <lb/> |
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108 bredth |
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109 </s> |
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110 </p> |
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111 <p xml:lang="lat"> |
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112 <s xml:id="echoid-s14" xml:space="preserve"> |
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113 1<emph style="super">o</emph> Quæritur: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> diameter hyperboles? <lb/> |
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114 per, 21, p: lib. 1. <lb/> |
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115 Appol. <lb/> |
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116 hoc est: <lb/> |
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117 dantur omnes præter <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, sit igitur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>. <lb/> |
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118 unde per æquationem habetur |
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119 <lb/>[<emph style="it">tr: |
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120 1. There is sought <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, the diameter of a hyperbola? <lb/> |
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121 By Proposition I.21 of Apollonius, <lb/> |
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122 that is: <lb/> |
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123 There are given all besides <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, therefore let there be <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>, <lb/> |
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124 whence by the equation are had: |
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125 </emph>]<lb/> |
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126 </s> |
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127 <lb/> |
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128 <s xml:id="echoid-s15" xml:space="preserve"> |
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129 (<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> etiam dicitur <lb/> |
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130 latus transversum) |
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131 <lb/>[<emph style="it">tr: |
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132 (<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> is also said to be the latus transversum) |
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133 </emph>]<lb/> |
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134 </s> |
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135 </p> |
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136 <p xml:lang="lat"> |
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137 <s xml:id="echoid-s16" xml:space="preserve"> |
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138 2<emph style="super">o</emph> Quæritur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math>, latus rectum. (figuræ <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math>) <lb/> |
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139 vel linea iuxta quam possunt ordinatim applicatæ. <lb/> |
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140 per eandem <lb/> |
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141 21, p: lib. 1. <lb/> |
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142 Appol. <lb/> |
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143 hoc est: <lb/> |
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144 datur igitur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math>, latus rectum. |
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145 <lb/>[<emph style="it">tr: |
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146 2. There is sought <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math>, the latus rectum (<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math> in the figure), |
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147 or adjacent lines which can be applied ordinates. <lb/> |
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148 By the same Proposition I.21 of Apollonius, <lb/> |
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149 that is: <lb/> |
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150 Therefore there is given <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math>, the latus rectum. |
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151 </emph>]<lb/> |
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152 </s> |
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153 <lb/> |
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154 <s xml:id="echoid-s17" xml:space="preserve"> |
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155 lineæ <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>d</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi><mi>f</mi></mstyle></math> &c. <lb/> |
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156 dicuntur lineæ <lb/> |
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157 ordinatim applicatæ. |
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158 <lb/>[<emph style="it">tr: |
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159 the lines <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>d</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi><mi>f</mi></mstyle></math> etc. are said to be the applied ordinates. |
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160 </emph>]<lb/> |
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161 </s> |
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162 </p> |
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163 <p xml:lang="lat"> |
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164 <s xml:id="echoid-s18" xml:space="preserve"> |
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165 3<emph style="super">o</emph> Quæritur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>q</mi></mstyle></math>, linea cuius quadratum æquatur <lb/> |
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166 quartæ parti figuræ. <lb/> |
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167 per 1,p: 2<emph style="super">i</emph> lib. <lb/> |
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168 Appol. <lb/> |
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169 <lb/>[...]<lb/> <lb/> |
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170 unde habetur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>q</mi></mstyle></math>. et inde ducuntur <lb/> |
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171 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>q</mi></mstyle></math>, et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>r</mi></mstyle></math> asymptoti (per centrum <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi></mstyle></math>) <lb/> |
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172 Et inde hyperbole describitur. |
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173 <lb/>[<emph style="it">tr: |
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174 3. There is sought <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>q</mi><mn>4</mn><mo>,</mo><mi>t</mi><mi>h</mi><mi>e</mi><mi>l</mi><mi>i</mi><mi>n</mi><mi>e</mi><mi>w</mi><mi>h</mi><mi>o</mi><mi>s</mi><mi>e</mi><mi>s</mi><mi>q</mi><mi>u</mi><mi>a</mi><mi>r</mi><mi>e</mi><mi>e</mi><mi>q</mi><mi>u</mi><mi>a</mi><mi>l</mi><mi>s</mi><mi>a</mi><mi>f</mi><mi>o</mi><mi>u</mi><mi>r</mi><mi>t</mi><mi>h</mi><mi>p</mi><mi>r</mi><mi>t</mi><mi>o</mi><mi>f</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>f</mi><mi>i</mi><mi>g</mi><mi>u</mi><mi>r</mi><mi>e</mi><mo>.</mo></mstyle></math><lb/> |
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175 By Proposition II.1 of Apollonius, <lb/> |
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176 <lb/>[...]<lb/> <lb/> |
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177 Whence is had <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>q</mi></mstyle></math>, and hence there may be drawn <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>q</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>r</mi></mstyle></math>, the asympototes, |
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178 and hence the hyperbola is described. |
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179 </emph>]<lb/> |
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180 </s> |
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181 </p> |
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182 <p> |
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183 <s xml:id="echoid-s19" xml:space="preserve"> |
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184 To find the lengths of other mastes by numbers. <lb/> |
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185 Let the bredth: (<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi><mi>a</mi></mstyle></math>, or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>a</mi></mstyle></math>) be <lb/> |
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186 taken in tenths of a foote & then <lb/> |
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187 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mo>=</mo><mn>5</mn><mn>2</mn><mn>4</mn><mfrac><mrow><mn>2</mn></mrow><mrow><mn>7</mn></mrow></mfrac></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi><mo>=</mo><mn>1</mn><mn>2</mn><mn>9</mn><mn>6</mn></mstyle></math> <lb/> |
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188 & so for any others. <lb/> |
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189 Invented this: Feb: 28th 1607/1608. <lb/> |
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190 & gave it to E. Marlow <lb/> |
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191 for Mr Baker the shipwrite. |
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192 </s> |
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193 </p> |
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194 <pb file="0006.jpg" o="3v" n="6"/> |
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195 <pb file="0007.jpg" o="4r" n="7"/> |
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196 <p> |
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197 <s xml:id="echoid-s20" xml:space="preserve"> |
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198 This way therefore the calculation may <lb/> |
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199 be also made. |
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200 </s> |
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201 </p> |
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202 <p> |
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203 <s xml:id="echoid-s21" xml:space="preserve"> |
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204 I am of opinion that depth is to be <lb/> |
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205 regarded with the bredth for the length of <lb/> |
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206 the mastes: for put the case I have the <lb/> |
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207 mast length for 20 foot broad & 10 foote <lb/> |
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208 deep, which is 60 foot as in the table. |
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209 </s> |
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210 <lb/> |
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211 <s xml:id="echoid-s22" xml:space="preserve"> |
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212 And then I keeping the bredth <lb/> |
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213 wold have my ship of <emph style="st">[???]</emph> <lb/> |
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214 lesser depth as 7 foot; the maste is <lb/> |
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215 also to be shorter. & then consider <emph style="st">whether</emph> <lb/> |
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216 whether the shortening of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi></mstyle></math> the latus rectum in proportion to the depth <lb/> |
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217 will bring forthe the length of the second maste or not. |
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218 </s> |
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219 </p> |
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220 <p> |
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221 <s xml:id="echoid-s23" xml:space="preserve"> |
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222 The length of the ship in this reckoning I thinkw also to be like <lb/> |
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223 regarded because, when the mast is fitted for bredth & <lb/> |
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224 depth, it cannot be amisse for the longest dimension. <lb/> |
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225 Therefore I make the rule thus: |
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226 </s> |
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227 </p> |
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228 <pb file="0008.jpg" o="4v" n="8"/> |
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229 <pb file="0009.jpg" o="5r" n="9"/> |
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230 <pb file="0010.jpg" o="5v" n="10"/> |
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231 <pb file="0011.jpg" o="6r" n="11"/> |
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232 <pb file="0012.jpg" o="6v" n="12"/> |
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233 <pb file="0013.jpg" o="7r" n="13"/> |
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234 <pb file="0014.jpg" o="7v" n="14"/> |
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235 <pb file="0015.jpg" o="8r" n="15"/> |
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236 <div xml:id="echoid-div1" type="page_commentary" level="2" n="1"> |
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237 <p> |
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238 <s xml:id="echoid-s24" xml:space="preserve">[<emph style="it">Note: |
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239 <p> |
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240 <s xml:id="echoid-s24" xml:space="preserve"> |
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241 The problem of finding a circle touching two given points and a given line is here called the |
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242 'Problema naupegicum', though is not clear from these pages exactly how this problem is relevant to ship-building. |
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243 Harriot notes that he has met the problem elsewhere, in the pages of Pappus, Book 7, |
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244 where it is attributed to Apollonius. |
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245 It seems that at this time Harriot was not yet as familiar with the work of Apollonius |
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246 as he later became. For much more work on this and related problems, |
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247 see his notes on Viète's <emph style="it">Apollonius Gallus</emph> (1600). <lb/> |
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248 Observe that where Harriot moves into formal mathematics he also begins to write in Latin. |
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249 </s> |
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250 </p> |
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251 </emph>] |
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252 <lb/><lb/></s></p></div> |
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253 <head xml:id="echoid-head3" xml:space="preserve" xml:lang="lat"> |
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254 Problema Naupegicum |
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255 </head> |
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256 <p xml:lang="lat"> |
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257 <s xml:id="echoid-s26" xml:space="preserve"> |
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258 Hinc problema unum Appoloniacum <emph style="super">solvitur</emph>, <lb/> |
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259 de quo mentionem facit Pappus lib. 7. <lb/> |
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260 ex. lib. Appol. <lb/>[...]<lb/> <lb/> |
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261 pa. 159. |
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262 <lb/>[<emph style="it">tr: |
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263 This problem is an Apollonian one, solved, of which mention is made in |
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264 Pappus, Book 7, on the Book of Apollonius, page 159. <lb/> |
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265 </emph>]<lb/> |
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266 </s> |
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267 </p> |
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268 <p xml:lang="lat"> |
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269 <s xml:id="echoid-s27" xml:space="preserve"> |
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270 Datis duobus punctis et linea: <lb/> |
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271 circulum, illa tria contingentem, describere. |
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272 <lb/>[<emph style="it">tr: |
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273 Given two points and line, to draw a circle touching those three. |
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274 </emph>]<lb/> |
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275 </s> |
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276 </p> |
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277 <p xml:lang="lat"> |
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278 <s xml:id="echoid-s28" xml:space="preserve"> |
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279 Puncta data: <lb/> |
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280 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi></mstyle></math> <lb/> |
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281 linea data <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>d</mi></mstyle></math> <lb/> |
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282 interminata. |
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283 <lb/>[<emph style="it">tr: |
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284 The given points, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi></mstyle></math>; the given line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>d</mi></mstyle></math>, continued indefinitely. |
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285 </emph>]<lb/> |
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286 </s> |
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287 </p> |
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288 <p xml:lang="lat"> |
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289 <s xml:id="echoid-s29" xml:space="preserve"> |
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290 Quæritur: <lb/> |
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291 punctum contactus <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi></mstyle></math>. |
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292 <lb/>[<emph style="it">tr: |
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293 Sought is the point of contact, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi></mstyle></math>. |
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294 </emph>]<lb/> |
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295 </s> |
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296 </p> |
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297 <p xml:lang="lat"> |
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298 <s xml:id="echoid-s30" xml:space="preserve"> |
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299 cæteri casus <lb/> |
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300 possibiles et <lb/> |
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301 impossibiles facile <lb/> |
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302 intelligantur <lb/> |
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303 vide alteram paginam. |
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304 <lb/>[<emph style="it">tr: |
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305 Other cases, possible and impossible, are easily understood, see the other page. |
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306 </emph>]<lb/> |
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307 [<emph style="it">Note: |
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308 The other sheet referred to here is the reverse of this one, Add MS 6788, f. 8v, |
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309 which lists some possible and impossible cases. |
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310 </emph>]<lb/> |
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311 </s> |
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312 </p> |
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313 <p xml:lang="lat"> |
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314 <s xml:id="echoid-s31" xml:space="preserve"> |
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315 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>i</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>e</mi></mstyle></math> datis, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>e</mi></mstyle></math> nota erit. <lb/> |
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316 <lb/>[...]<lb/> <lb/> |
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317 Igitur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>s</mi></mstyle></math> est media proportionalis inter <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>s</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>s</mi></mstyle></math>, et nota <lb/> |
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318 centrum <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi></mstyle></math> erit in concursum perpendicularium <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>A</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>A</mi></mstyle></math>. <lb/> |
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319 Dabuntur etiam <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>h</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>d</mi></mstyle></math>. vel <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>l</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>l</mi><mi>e</mi></mstyle></math>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>l</mi><mo>=</mo><mi>l</mi><mi>e</mi></mstyle></math>. quia <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi><mi>l</mi><mi>e</mi></mstyle></math> rectus. <lb/> |
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320 In triangulo <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>t</mi><mi>b</mi></mstyle></math> dantur duo latera et angulus <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>t</mi><mi>e</mi><mi>b</mi></mstyle></math>; ergo omnia latera <lb/> |
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321 et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi><mi>h</mi></mstyle></math> semidiameter peripheriæ circumscribentis dabuntur in numeris <lb/> |
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322 canonis per doctrinam triangulorum, et etiam in partibus <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>c</mi></mstyle></math> primo datis. |
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323 <lb/>[<emph style="it">tr: |
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324 If <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>i</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>e</mi></mstyle></math> are given, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>e</mi></mstyle></math> will be known. <lb/> |
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325 <lb/>[...]<lb/> <lb/> |
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326 Therefore <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>s</mi></mstyle></math> is the mean proportional between <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>s</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>s</mi></mstyle></math>, and the known centre <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi></mstyle></math> |
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327 will be at the metting point of the perpendicular <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>A</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>A</mi></mstyle></math>. <lb/> |
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328 Also <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>h</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>d</mi></mstyle></math> are given, or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>l</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>l</mi><mi>e</mi></mstyle></math>; and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>l</mi><mo>=</mo><mi>l</mi><mi>e</mi></mstyle></math> because <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi><mi>l</mi><mi>e</mi></mstyle></math> is a right angle. <lb/> |
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329 In the triangle <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>t</mi><mi>b</mi></mstyle></math> there are given two lines and the angle <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>t</mi><mi>e</mi><mi>b</mi></mstyle></math>; therefore all the sides and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi><mi>h</mi></mstyle></math>, |
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330 the semidiameter of the circumscribed circumference are given in tabulated numbers by the doctrine of triangles, |
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331 and also in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>c</mi></mstyle></math>, given at the beginning. |
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332 </emph>]<lb/> |
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333 </s> |
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334 <lb/> |
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335 <s xml:id="echoid-s32" xml:space="preserve"> |
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336 Et sine doctrina triangulorum in hinc modum quæsita inveninuntur: |
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337 <lb/>[<emph style="it">tr: |
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338 And without the doctrine of traingles, what is sought may be found by this method: |
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339 </emph>]<lb/> |
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340 </s> |
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341 <lb/> |
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342 <s xml:id="echoid-s33" xml:space="preserve"> |
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343 Facillima <lb/> |
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344 operatio <emph style="st">notatur</emph> <lb/> |
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345 notatur * |
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346 <lb/>[<emph style="it">tr: |
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347 Most easily the working may be denoted as at * |
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348 </emph>]<lb/> |
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349 </s> |
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350 </p> |
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351 <pb file="0016.jpg" o="8v" n="16"/> |
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352 <p xml:lang="lat"> |
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353 <s xml:id="echoid-s34" xml:space="preserve"> |
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354 Sit recta linea inter duo puncta data: |
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355 <lb/>[<emph style="it">tr: |
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356 Let the straight line be between the two given points: |
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357 </emph>]<lb/> |
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358 </s> |
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359 </p> |
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360 <pb file="0017.jpg" o="9r" n="17"/> |
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361 <p> |
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362 <s xml:id="echoid-s35" xml:space="preserve"> |
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363 Mr. Fr: Godolphin |
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364 </s> |
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365 </p> |
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366 <pb file="0018.jpg" o="9v" n="18"/> |
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367 <pb file="0019.jpg" o="10r" n="19"/> |
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368 <head xml:id="echoid-head4" xml:space="preserve" xml:lang="lat"> |
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369 Problema Appolonicum aliud. vide Pappum. lib. 7. pag. 159. |
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370 <lb/>[<emph style="it">tr: |
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371 Another problem of Apollonius, see Pappus, Book 7, page 159. |
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372 </emph>]<lb/> |
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373 </head> |
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374 <p xml:lang="lat"> |
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375 <s xml:id="echoid-s36" xml:space="preserve"> |
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376 Datis duobus punctis intra peripheriam circuli: per illa puncta <lb/> |
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377 et terminos Diametri circuli dati, peripheriam circuli ducere. |
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378 <lb/>[<emph style="it">tr: |
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379 Given two points inside the circumference of a circle, |
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380 through those points and the ends of the diameter of the given circle, |
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381 draw the circumference of a circle. |
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382 </emph>]<lb/> |
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383 </s> |
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384 </p> |
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385 <p xml:lang="lat"> |
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386 <s xml:id="echoid-s37" xml:space="preserve"> |
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387 Data. <lb/> |
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388 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math>. puncta. |
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389 <lb/>[<emph style="it">tr: |
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390 Given, the points <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math>. |
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391 </emph>]<lb/> |
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392 </s> |
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393 </p> |
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394 <p xml:lang="lat"> |
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395 <s xml:id="echoid-s38" xml:space="preserve"> |
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396 Ex ista constructione <lb/> |
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397 cæteri casus facile <lb/> |
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398 intelligantur. |
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399 <lb/>[<emph style="it">tr: |
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400 From this construction, other cases are easily understood. |
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401 </emph>]<lb/> |
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402 </s> |
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403 </p> |
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404 <p xml:lang="lat"> |
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405 <s xml:id="echoid-s39" xml:space="preserve"> |
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406 Usus in planisphæ-<lb/> |
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407 rio ptolomaico. |
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408 <lb/>[<emph style="it">tr: |
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409 Used in the planisphere of Ptolemy. |
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410 </emph>]<lb/> |
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411 </s> |
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412 </p> |
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413 <p xml:lang="lat"> |
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414 <s xml:id="echoid-s40" xml:space="preserve"> |
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415 Sit iam factum. Et peripheria circuli transiens per data puncta sit <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mi>c</mi><mi>h</mi></mstyle></math> <lb/> |
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416 cuius centrum <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi></mstyle></math>. Et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>f</mi><mi>e</mi></mstyle></math> diameter circuli dati. a punctis <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> datis ducuntur <lb/> |
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417 per centrum <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi></mstyle></math>, <emph style="super">lineæ</emph> <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi><mi>h</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi><mi>m</mi></mstyle></math>. |
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418 Rectangulum ex <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>f</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>e</mi></mstyle></math>; hoc est quadratum <lb/> |
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419 ex <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>e</mi></mstyle></math>, æquantur rectangulo ex <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>h</mi></mstyle></math>; vel <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>m</mi></mstyle></math>. Ergo <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>e</mi></mstyle></math> est media <lb/> |
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420 proportionalis inter <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>h</mi></mstyle></math>. |
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421 <lb/>[<emph style="it">tr: |
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422 Suppose it already done. And let the circumference of the circle passing through the given points be <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mi>c</mi><mi>h</mi></mstyle></math>, |
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423 whose centre is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi></mstyle></math>. And <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>f</mi><mi>e</mi></mstyle></math> is the diameter of the given circle. From the given points <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> |
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424 there are drawn through the centre <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi></mstyle></math>, the lines <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi><mi>h</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi><mi>m</mi></mstyle></math>. |
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425 The product of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>f</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>e</mi></mstyle></math>, that is, the square of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>e</mi></mstyle></math>, is equal to the product of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>h</mi></mstyle></math>, |
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426 or of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>m</mi></mstyle></math>. Therefore <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>e</mi></mstyle></math> is the mean proportional between <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>h</mi></mstyle></math>. |
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427 </emph>]<lb/> |
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428 </s> |
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429 </p> |
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430 <p xml:lang="lat"> |
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431 <s xml:id="echoid-s41" xml:space="preserve"> |
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432 Problema igitur perficitur ad hunc modum. A punctis datis <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> ducantur rectæ <lb/> |
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433 ad centrum <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi></mstyle></math>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi></mstyle></math>. ad <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> et a puncto <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi></mstyle></math>, sit <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>d</mi></mstyle></math> perpendicularis, ut <lb/> |
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434 ducatur recta <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>d</mi></mstyle></math>. et a puncto <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi></mstyle></math> erigatur perpendicularis <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>o</mi></mstyle></math>. producatur <lb/> |
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435 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> et concurret cum <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>o</mi></mstyle></math> in puncto <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi></mstyle></math>. a medio <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>h</mi></mstyle></math> fit perpendicularis <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>g</mi></mstyle></math> <lb/> |
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436 et a mdeio <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> sit perpendicularsi <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>r</mi></mstyle></math>. secabit <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>q</mi></mstyle></math> in puncto <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi></mstyle></math>. quod est centrum <lb/> |
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437 peripheriæ quæsitæ. demonstratio manifesta ex propertate superius allata. &c. |
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438 <lb/>[<emph style="it">tr: |
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439 The problem is therefore brought about in this way. From the given points <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> |
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440 there are drawn the lines <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi></mstyle></math> to the centre <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi></mstyle></math>. |
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441 Let <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>d</mi></mstyle></math> be perpendicular to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> at the point <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi></mstyle></math>, so that there is drawn the line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>d</mi></mstyle></math>. |
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442 And form the point <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi></mstyle></math> there is erected the perpendicular <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>o</mi></mstyle></math>. |
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443 The line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math> is extended and meets <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>o</mi></mstyle></math> in the point <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi></mstyle></math>. |
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444 From the middle of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>h</mi></mstyle></math> there is constructed the perpendicular <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>g</mi></mstyle></math>, |
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445 and from the middle of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> the perpendicular <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>r</mi></mstyle></math> will cut <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>q</mi></mstyle></math> in the point <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>g</mi></mstyle></math>, |
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446 which is the centre of the sought circumference. |
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447 The demonstration is clear from the property reported above. etc. |
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448 </emph>]<lb/> |
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449 </s> |
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450 </p> |
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451 <p xml:lang="lat"> |
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452 <s xml:id="echoid-s42" xml:space="preserve"> |
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453 Si dentur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi></mstyle></math>, et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>e</mi></mstyle></math> in numeris; Dabuntur etiam in iisdem <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>g</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>g</mi></mstyle></math> <lb/> |
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454 nam angulus <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>a</mi><mi>h</mi></mstyle></math> cogitus est ex data triangulo <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mi>f</mi></mstyle></math>. Dantur <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> et <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>h</mi></mstyle></math>. notum igitur <lb/> |
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455 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>h</mi></mstyle></math>. et diameter circumscribentis peripheriæ per doctrinam triangulorum. &c. |
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456 <lb/>[<emph style="it">tr: |
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457 If there are given <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>f</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>f</mi></mstyle></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>e</mi></mstyle></math> in numbers, |
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458 there will be given also in the same way <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>i</mi><mi>g</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>g</mi></mstyle></math>, for the angle <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>a</mi><mi>h</mi></mstyle></math> |
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459 is known from the given triangle <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mi>f</mi></mstyle></math>. The lines <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>h</mi></mstyle></math> are given, therefore <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>h</mi></mstyle></math> is known, |
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460 and the diameter of the circumference of the circumscribing circle from the doctrine of triangles. etc. |
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461 </emph>]<lb/> |
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462 </s> |
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463 </p> |
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464 <pb file="0020.jpg" o="10v" n="20"/> |
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465 <pb file="0021.jpg" o="11r" n="21"/> |
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466 <pb file="0022.jpg" o="11v" n="22"/> |
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467 <pb file="0023.jpg" o="12r" n="23"/> |
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468 <pb file="0024.jpg" o="12v" n="24"/> |
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469 <pb file="0025.jpg" o="13r" n="25"/> |
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470 <pb file="0026.jpg" o="13v" n="26"/> |
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471 <pb file="0027.jpg" o="14r" n="27"/> |
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472 <pb file="0028.jpg" o="14v" n="28"/> |
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473 <pb file="0029.jpg" o="15r" n="29"/> |
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474 <div xml:id="echoid-div2" type="page_commentary" level="2" n="2"> |
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475 <p> |
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476 <s xml:id="echoid-s43" xml:space="preserve">[<emph style="it">Note: |
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477 <p> |
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478 <s xml:id="echoid-s43" xml:space="preserve"> |
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479 This folio provides a canon, or rule, for finding the square root of a quantity <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mo>+</mo><mi>f</mi></mstyle></math>. <lb/> |
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480 Using the fundamental property established in the first line, |
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481 the first term in the canon can be rewritten as the square root of <lb/> |
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482 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mi>b</mi><mi>b</mi><mo>+</mo><mi>c</mi><mi>c</mi></mrow><mrow><mn>2</mn></mrow></mfrac><mo>+</mo><msqrt><mrow><mfrac><mrow><mo maxsize="1">(</mo><mi>b</mi><mi>b</mi><mo>+</mo><mi>c</mi><mi>c</mi><mrow><msup><mo maxsize="1">)</mo><mn>2</mn></msup></mrow></mrow><mrow><mn>4</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mn>4</mn><mi>b</mi><mi>c</mi></mrow><mrow><mn>4</mn></mrow></mfrac></mrow></msqrt></mstyle></math> <lb/> |
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483 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mo>=</mo><mi>b</mi><mi>b</mi></mstyle></math>. <lb/> |
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484 Similarly, the second term yields <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>c</mi></mstyle></math>. |
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485 Thus the sum of the square roots yields <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mo>+</mo><mi>c</mi></mstyle></math>, as required. <lb/> |
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486 A numerical example is worked at the bottom of the page. |
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487 </s> |
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488 </p> |
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489 </emph>] |
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490 <lb/><lb/></s></p></div> |
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491 <head xml:id="echoid-head5" xml:space="preserve" xml:lang="lat"> |
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492 De extractione radicis quadratæ <lb/> |
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493 e binomio plano. |
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494 <lb/>[<emph style="it">tr: |
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495 On the extraction of cube roots of plane binomes |
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496 </emph>]<lb/> |
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497 </head> |
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498 <p xml:lang="lat"> |
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499 <s xml:id="echoid-s45" xml:space="preserve"> |
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500 Fundamentum |
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501 <lb/>[<emph style="it">tr: |
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502 Fundamental property |
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503 </emph>]<lb/> |
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504 </s> |
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505 </p> |
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506 <p xml:lang="lat"> |
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507 <s xml:id="echoid-s46" xml:space="preserve"> |
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508 Sit: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mo>></mo><mi>c</mi></mstyle></math>. |
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509 <lb/>[<emph style="it">tr: |
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510 Suppose: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mo>></mo><mi>c</mi></mstyle></math>. |
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511 </emph>]<lb/> |
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512 </s> |
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513 <lb/> |
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514 <s xml:id="echoid-s47" xml:space="preserve"> |
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515 ergo: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mo>></mo><mi>f</mi></mstyle></math>. |
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516 <lb/>[<emph style="it">tr: |
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517 therefore: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mo>></mo><mi>f</mi></mstyle></math>. |
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518 </emph>]<lb/> |
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519 </s> |
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520 <lb/> |
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521 <s xml:id="echoid-s48" xml:space="preserve"> |
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522 per lemma. |
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523 <lb/>[<emph style="it">tr: |
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524 by the lemma |
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525 </emph>]<lb/> |
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526 </s> |
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527 </p> |
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528 <p xml:lang="lat"> |
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529 <s xml:id="echoid-s49" xml:space="preserve"> |
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530 Canon. |
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531 <lb/>[<emph style="it">tr: |
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532 Rule. |
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533 </emph>]<lb/> |
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534 </s> |
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535 </p> |
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536 <p xml:lang="lat"> |
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537 <s xml:id="echoid-s50" xml:space="preserve"> |
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538 Illustratio Canonis per numeros. |
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539 <lb/>[<emph style="it">tr: |
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540 An illustration of the rule in numbers. |
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541 </emph>]<lb/> |
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542 </s> |
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543 </p> |
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544 <pb file="0030.jpg" o="15v" n="30"/> |
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545 <pb file="0031.jpg" o="16r" n="31"/> |
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546 <pb file="0032.jpg" o="16v" n="32"/> |
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547 <pb file="0033.jpg" o="17r" n="33"/> |
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548 <p> |
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549 <s xml:id="echoid-s51" xml:space="preserve"> |
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550 ships <lb/> |
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551 bredth <lb/> |
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552 in <lb/> |
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553 feet |
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554 </s> |
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555 </p> |
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556 <p> |
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557 <s xml:id="echoid-s52" xml:space="preserve"> |
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558 lengths of <lb/> |
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559 the mayne <lb/> |
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560 maste in <lb/> |
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561 feet. yards. |
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562 </s> |
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563 </p> |
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564 <p> |
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565 <s xml:id="echoid-s53" xml:space="preserve"> |
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566 Diameter at <lb/> |
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567 the parteners <lb/> |
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568 in: <lb/> |
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569 yards. feet. |
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570 </s> |
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571 </p> |
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572 <pb file="0034.jpg" o="17v" n="34"/> |
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573 <pb file="0035.jpg" o="18r" n="35"/> |
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574 <head xml:id="echoid-head6" xml:space="preserve"> |
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575 Diameter of the mayne maste <lb/> |
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576 at the parteners. |
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577 </head> |
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578 <p> |
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579 <s xml:id="echoid-s54" xml:space="preserve"> |
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580 Yardes. Denaryes. |
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581 </s> |
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582 </p> |
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583 <pb file="0036.jpg" o="18v" n="36"/> |
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584 <pb file="0037.jpg" o="19r" n="37"/> |
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585 <p> |
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586 <s xml:id="echoid-s55" xml:space="preserve"> |
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587 Ships <lb/> |
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588 bredth: <lb/> |
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589 feet. |
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590 </s> |
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591 </p> |
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592 <p> |
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593 <s xml:id="echoid-s56" xml:space="preserve"> |
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594 Timber <lb/> |
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595 and space |
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596 </s> |
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597 </p> |
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598 <p> |
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599 <s xml:id="echoid-s57" xml:space="preserve"> |
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600 Tymbers <lb/> |
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601 in bredth |
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602 </s> |
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603 </p> |
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604 <p> |
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605 <s xml:id="echoid-s58" xml:space="preserve"> |
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606 The number of <lb/> |
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607 bendes in the whole <lb/> |
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608 length from stern <lb/> |
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609 to post. |
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610 </s> |
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611 </p> |
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612 <pb file="0038.jpg" o="19v" n="38"/> |
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613 <pb file="0039.jpg" o="20r" n="39"/> |
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614 <p> |
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615 <s xml:id="echoid-s59" xml:space="preserve"> |
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616 The Hollanders have 3900 fishing ships and vessels. <lb/> |
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617 100 doggerboates <lb/> |
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618 700 pinkes & welboates <lb/> |
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619 700 strandboates <lb/> |
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620 400 Euars <lb/> |
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621 400 Galligates, Drivers & Todboates. <lb/> |
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622 1600 Busses. |
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623 </s> |
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624 </p> |
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625 <p> |
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626 <s xml:id="echoid-s60" xml:space="preserve"> |
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627 The Hollanders set on nomber 200000 [???] by those fishing. <lb/> |
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628 & 7200 sayle of shippes. |
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629 </s> |
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630 </p> |
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631 <p> |
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632 <s xml:id="echoid-s61" xml:space="preserve"> |
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633 A busse of 180 tonnes imployeth of mariners <lb/> |
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634 &a fishermen in her selfe about 40. <lb/> |
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635 & besides 3 shippes, one to fetch her salt <lb/> |
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636 an other to carry forth barrelles & salt <lb/> |
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637 into her at sea & to bring her heavinges <lb/> |
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638 backe to her owne country. The third to <lb/> |
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639 transport her heavinges beyond seas. - those 3, 60 men. |
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640 </s> |
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641 </p> |
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642 <p> |
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643 <s xml:id="echoid-s62" xml:space="preserve"> |
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644 Huyes <lb/> |
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645 Hulkes <lb/> |
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646 Lurdens of 3. 4. 5. 6oo tonnes <lb/> |
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647 for the Begene. <lb/> |
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648 Maseskips the like for the <lb/> |
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649 Mase. <lb/> |
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650 They are of a long & <lb/> |
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651 shallow building. |
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652 </s> |
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653 </p> |
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654 <p> |
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655 <s xml:id="echoid-s63" xml:space="preserve"> |
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656 English fishing vessels. <lb/> |
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657 Crayers <lb/> |
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658 & Cobles <lb/> |
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659 from 5 to 20 tonnes |
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660 </s> |
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661 </p> |
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662 <p> |
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663 <s xml:id="echoid-s64" xml:space="preserve"> |
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664 Seen at land spinners & hemp winders <lb/> |
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665 to make canbles &c |
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666 </s> |
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667 </p> |
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668 <p> |
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669 <s xml:id="echoid-s65" xml:space="preserve"> |
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670 Ketches. |
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671 </s> |
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672 </p> |
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673 <pb file="0040.jpg" o="20v" n="40"/> |
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674 <pb file="0041.jpg" o="21r" n="41"/> |
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675 <head xml:id="echoid-head7" xml:space="preserve"> |
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676 Notes. of the officers of a ship |
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677 </head> |
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678 <p> |
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679 <s xml:id="echoid-s66" xml:space="preserve"> |
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680 Captayne. <lb/> |
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681 Master. <lb/> |
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682 Masters mates, 2. <lb/> |
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683 Quarter masters, 4.) to looke to the <lb/> |
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684 grande table & romage in holde. <lb/> |
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685 to looke to the watches, & for to <lb/> |
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686 call the men <lb/> |
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687 to the helme. <lb/> |
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688 Boteswayne. <lb/> |
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689 Boteswaynes mate. <lb/> |
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690 Midshipmen. <lb/> |
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691 Marinesr. Surgeon. <lb/> |
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692 Youbers. <lb/> |
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693 Boyes. <lb/> |
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694 Swabber. <lb/> |
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695 Swabbers mate. <lb/> |
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696 Master Gunner. <lb/> |
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697 His mate. <lb/> |
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698 Quarter gunners. <lb/> |
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699 Gunners. <lb/> |
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700 Purser. <lb/> |
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701 Steward. <lb/> |
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702 Cooper. <lb/> |
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703 Cooke & his mate. <lb/> |
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704 Cape merchant. in steed of the Captayne in [???] <lb/> |
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705 Marchants or Factors. <lb/> |
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706 Shifters (of vituayls) |
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707 </s> |
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708 </p> |
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709 <p> |
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710 <s xml:id="echoid-s67" xml:space="preserve"> |
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711 Leiuetenant <lb/> |
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712 Auurient. <lb/> |
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713 Serjeant. <lb/> |
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714 Corporall. <lb/> |
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715 Soldiers. <lb/> |
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716 Drummers. <lb/> |
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717 Trumpeters |
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718 </s> |
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719 </p> |
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720 <p> |
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721 <s xml:id="echoid-s68" xml:space="preserve"> |
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722 All <lb/> |
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723 Starbord men on the masters side <lb/> |
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724 & larboard men of the mates side <lb/> |
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725 or on bothe <lb/> |
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726 the mates sides. |
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727 </s> |
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728 </p> |
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729 <p> |
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730 <s xml:id="echoid-s69" xml:space="preserve"> |
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731 A watch is <lb/> |
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732 8 glasses <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mo>=</mo><mo>\\frac</mo><mrow><mn>8</mn><mrow><mn>2</mn></mrow></mrow></mstyle></math> houres. <lb/> |
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733 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mo>=</mo><mn>4</mn></mstyle></math> houres. |
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734 </s> |
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735 </p> |
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736 <p> |
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737 <s xml:id="echoid-s70" xml:space="preserve"> |
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738 The watch from 4 to 8 at night <lb/> |
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739 is devided into two partes: <lb/> |
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740 the later part from 6 to 8 they <lb/> |
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741 call the <emph style="ul">looke out</emph>. |
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742 </s> |
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743 <lb/> |
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744 <s xml:id="echoid-s71" xml:space="preserve"> |
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745 These two partes are as two <lb/> |
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746 watches, that the same men <lb/> |
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747 may not have the first watch. <lb/> |
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748 The first watch beginnes <lb/> |
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749 at 8 at night; then they <lb/> |
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750 set the watch. |
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751 </s> |
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752 </p> |
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753 <p> |
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754 <s xml:id="echoid-s72" xml:space="preserve"> |
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755 1. watch <lb/> |
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756 2. watches <lb/> |
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757 Day watch <lb/> |
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758 or morning <lb/> |
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759 watch. |
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760 </s> |
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761 </p> |
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762 <pb file="0042.jpg" o="21v" n="42"/> |
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763 <pb file="0043.jpg" o="22r" n="43"/> |
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764 <head xml:id="echoid-head8" xml:space="preserve"> |
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765 Of ropes |
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766 </head> |
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767 <p> |
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768 <s xml:id="echoid-s73" xml:space="preserve"> |
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769 11. Catharpins. to keepe the shroudes tought. |
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770 </s> |
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771 </p> |
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772 <p> |
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773 <s xml:id="echoid-s74" xml:space="preserve"> |
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|
774 [Diagram] <lb/> |
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775 shroudes <lb/> |
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|
776 dedmaneye |
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777 </s> |
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|
778 </p> |
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779 <p> |
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780 <s xml:id="echoid-s75" xml:space="preserve"> |
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781 12. collars <emph style="super">of the stayes</emph> are short ropes coming about the <lb/> |
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782 mastes (or timber) bothe endes being spliced & brought <lb/> |
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783 about a dedmaneye, & the lower ende of the stay hath <lb/> |
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784 a <emph style="st">ded</emph> deadmaneye also, thourough which eyes |
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785 <emph style="st">are</emph> <emph style="super"/> is reeved <lb/> |
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|
786 a rope to & fro to <emph style="st">fasten</emph> make the stay & coller <lb/> |
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787 tought together & this rope is called a lanier. <lb/> |
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788 And the ends of the shroudes are dedmen eyes, & in the <lb/> |
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789 chaynes are other ded men eyes; & those dedmen eyes <lb/> |
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790 are coupled with lannieres. |
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791 </s> |
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792 </p> |
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793 <p> |
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794 <s xml:id="echoid-s76" xml:space="preserve"> |
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|
795 13. Standing takles are within the shroudes, having <emph style="st">having</emph> <lb/> |
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796 only a pendent with a long blocke of two shiners one above <lb/> |
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797 an other, the end of <emph style="super">the</emph> pendent is fast under the top. then there <lb/> |
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798 is a blocke of two shiners (parallel) with a hooke below hitching <lb/> |
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799 into a ring on the chaynewale, unto this blocke is fast a rope <lb/> |
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800 which is reeved thourough a shiner of the lower blocke & so up agayne & downe <lb/> |
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|
801 to be set taught to stay the mastes till the shrouds be set <lb/> |
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802 & stand stil after to strengthen the shroudes. |
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|
803 </s> |
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|
804 </p> |
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805 <p> |
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|
806 <s xml:id="echoid-s77" xml:space="preserve"> |
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|
807 Gunners takles, have hookes & blockes; & are to be removed <lb/> |
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808 & taken away at pleasure. & serve to bouse these peeces <lb/> |
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809 in & out; & to remove them from place to place. <lb/> |
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810 to bouse. i. hale <lb/> |
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811 [???] bouse here |
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812 </s> |
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813 </p> |
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814 <pb file="0044.jpg" o="22v" n="44"/> |
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815 <pb file="0045.jpg" o="23r" n="45"/> |
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816 <head xml:id="echoid-head9" xml:space="preserve"> |
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817 Of ropes |
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818 </head> |
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819 <p> |
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820 <s xml:id="echoid-s78" xml:space="preserve"> |
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821 6.) The sprit sayle hath clew lines like the topsayles <lb/> |
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822 but no bowlinges. & sheates but no tackes. <lb/> |
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823 hath also liftes as the other yardes. |
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824 </s> |
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825 </p> |
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826 <p> |
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827 <s xml:id="echoid-s79" xml:space="preserve"> |
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828 He hath garnets, one cometh from the middlest of the <lb/> |
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829 the arme, to a blocke towards the top of the boltsprit <lb/> |
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830 and so cometh downe by the boltsprit to the beake hed to <lb/> |
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831 be haled. His office to ease the lift & to help the sayle <lb/> |
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832 vere by a wind. So the other. |
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833 </s> |
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834 </p> |
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835 <p> |
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836 <s xml:id="echoid-s80" xml:space="preserve"> |
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837 The misons have but one lift which cometh from the top of <lb/> |
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838 the small end above, of the yard, & is reeved thourough a <lb/> |
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839 pully at the top of the mast & so cometh downe. <lb/> |
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840 <emph style="st">hathe</emph> <emph style="super">hath </emph> |
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841 one sheat, fast, at at the right angle, & cometh to a blocke in <lb/> |
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842 a bumkin without the ship asterne & so cometh in to be haled <lb/> |
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843 or thourough a blocke made fast aloft in the midst in <lb/> |
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844 aftermost part of the ship aloft & from there a little <lb/> |
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845 forward to be haled. <lb/> |
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846 His tacke is fast at the <emph style="st">sharpe</emph> tayle (sharp angle aslo) <lb/> |
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847 & his other end is rope to be brought over to the <lb/> |
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848 wether side & there to be belayed to a kebble. |
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849 </s> |
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850 </p> |
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851 <p> |
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852 <s xml:id="echoid-s81" xml:space="preserve"> |
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853 The bowlinges are two ropes fast <lb/> |
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854 to the lower end of the yard (with a <lb/> |
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855 button of wood & an eye) and from there <lb/> |
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856 are reeved in two pullyes made <lb/> |
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857 fast to <emph style="super">the</emph> aftermost mayne shroude <lb/> |
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858 one on the one side & and the other on the <lb/> |
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859 other. the bowlinge is to be halyed <lb/> |
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860 when they <emph style="st">will go</emph> set their mizon to <lb/> |
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861 go by a wind. <lb/> |
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862 When the sayle is furled, & the yard up, they <lb/> |
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863 being both hauled & belayed do steddy the yard in the <lb/> |
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864 middest of the ship. |
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865 </s> |
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866 </p> |
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867 <p> |
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868 <s xml:id="echoid-s82" xml:space="preserve"> |
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869 [Diagram] |
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870 mison sayle <lb/> |
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871 sheat <lb/> |
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872 lift <lb/> |
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873 bowlinge <lb/> |
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874 tacke |
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875 </s> |
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876 </p> |
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877 <pb file="0046.jpg" o="23v" n="46"/> |
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878 <pb file="0047.jpg" o="24r" n="47"/> |
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879 <head xml:id="echoid-head10" xml:space="preserve"> |
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880 Of ropes |
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881 </head> |
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882 <p> |
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883 <s xml:id="echoid-s83" xml:space="preserve"> |
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884 10. Bowlinges (bowlines) <lb/> |
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885 Of the mayne bowling, <emph style="st">half a blocke or pully fitted fast about a</emph> |
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886 <emph style="super">one end</emph> <lb/> |
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887 is spliced fast about a pully having a shiner, & thourough that <lb/> |
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888 shiner passes a short rope having two deadmeneyes spliced <lb/> |
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889 at the two endes thereof, thourough whihch eyes come other <lb/> |
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890 small ropes making crow feet are spliced into <emph style="super">the</emph> side <lb/> |
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891 bolt rope of the mayne sayle; this parte from the pully is called <lb/> |
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892 the <emph style="super">bowling</emph> bridles; the other end of the bowling is reeved <lb/> |
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893 thourough a block made fast with a strap nere towards <lb/> |
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894 the foremaste on the top of the forecastle in the middest (of <lb/> |
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895 bredth) & from thence comes aft towards the mayne <lb/> |
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896 maste there to be haled. & is <emph style="super">belayed</emph> about kebble or some <lb/> |
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897 bitte. And thourough a shiner of the same blocke on <lb/> |
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898 the fore castle passes the bowling up the other side. <lb/> |
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899 And his use is when they go by a wind (the tackes <lb/> |
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900 being abord) & sheates haled aft) then to be haled tought <lb/> |
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901 & belayde; that the wether leech (side) be kept tought <lb/> |
|
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902 & and not to lift or shake in the wind. |
|
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903 </s> |
|
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|
904 </p> |
|
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|
905 <p> |
|
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906 <s xml:id="echoid-s84" xml:space="preserve"> |
|
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907 In like manner the fore bowlinge come thourough a blocke <lb/> |
|
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908 with a double shiner made fast about the middest of <lb/> |
|
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909 the bolt sprit & so comes thourough a blocke fast at the <lb/> |
|
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910 lower parte of the boltsprit (above the head beke) one <lb/> |
|
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911 one side (for on the other is an other) & so cometh into the <lb/> |
|
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912 the forecastle or up alofte there to be haled & belayed. |
|
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|
913 </s> |
|
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|
914 </p> |
|
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|
915 <p> |
|
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916 <s xml:id="echoid-s85" xml:space="preserve"> |
|
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917 The <emph style="super">two</emph> top sayle bowlings are reeved thourough two blockes sezed <lb/> |
|
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|
918 to the topmast stay <emph style="st">& the</emph> & the mayne topsayle boweling once <lb/> |
|
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919 reeved agayne thourough two blockes <emph style="super">fast</emph> about the rayles of the after <lb/> |
|
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|
920 part of the forecastle & so into the ship to be haled. <lb/> |
|
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|
921 but the foretopsayle bowlings are agayne thourough <lb/> |
|
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|
922 two pullyes fast towards the top of teh boltsprit (& so to <lb/> |
|
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|
923 the <emph style="st">top fo</emph> foretop then to be haled) or are reeved agayne <lb/> |
|
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|
924 agayne in two pullys at the lower part of the boltsprit <lb/> |
|
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925 & thence to the forecastle to be haled. |
|
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|
926 </s> |
|
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|
927 </p> |
|
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|
928 <pb file="0048.jpg" o="24v" n="48"/> |
|
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|
929 <pb file="0049.jpg" o="25r" n="49"/> |
|
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|
930 <head xml:id="echoid-head11" xml:space="preserve"> |
|
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|
931 Of ropes |
|
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|
932 </head> |
|
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|
933 <p> |
|
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|
934 <s xml:id="echoid-s86" xml:space="preserve"> |
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|
935 The foresayle hath sheates and tackes made fast to teh clewes <lb/> |
|
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|
936 in like manner as <emph style="super">the</emph> mayne sayle. <lb/> |
|
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|
937 One <emph style="super">end</emph> of the sheat is fastened at the middest of the maste or nere on <lb/> |
|
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|
938 the out side, & so reeved thourough the block with a strap at the clew <lb/> |
|
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939 & reeved thourough a <emph style="st">pully</emph> shiner in the ships side nere the mayne <lb/> |
|
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940 maste & there is to be haled & belayed about <emph style="super">a</emph> kebble nere hand. |
|
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|
941 </s> |
|
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|
942 </p> |
|
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|
943 <p> |
|
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|
944 <s xml:id="echoid-s87" xml:space="preserve"> |
|
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|
945 The foretackes goe thourough two holes in a cleate (a peece of wood nayled <lb/> |
|
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|
946 to the bomkin (like a peece of a maste under the beake head fastened [???] in <lb/> |
|
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|
947 bord) the small endes passing thourough are brought up on the contrary <lb/> |
|
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|
948 side of the <emph style="super">fore</emph> maste throug orover the forecastle & there to be haled <lb/> |
|
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|
949 to bring the tacke abord; where <emph style="super">is</emph> the clew to the bomkin or as nere as it can. |
|
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|
950 </s> |
|
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|
951 </p> |
|
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|
952 <p> |
|
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|
953 <s xml:id="echoid-s88" xml:space="preserve"> |
|
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|
954 7. <emph style="super">the</emph> |
|
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|
955 Clew garnet of the maynesayle one end is fastened at the clew & the <lb/> |
|
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|
956 other reeved thourough a blocke fastened under the mayne yard <lb/> |
|
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|
957 towarde the maste on the same side or arme & so cometh downe to be <lb/> |
|
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|
958 haled to bring the clewes to the yard when the sayle is striken downe <lb/> |
|
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|
959 & then they use to furle up the sayle & ty it up with gaskets <lb/> |
|
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|
960 (yarn platted with nooses at the greater end) fastened with a rope yarn <lb/> |
|
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|
961 to a grummet (a nayle with a ring) driven into the yard & coming about <lb/> |
|
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|
962 the sayle they make it fast in a other grummet. They are many of them <lb/> |
|
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|
963 alongst the yard, but the middle two (or 4) being greater & <lb/> |
|
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|
964 longer than the rest are called breech gaskets; & when the <lb/> |
|
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|
965 sayle is to be let fall they order as many as they can & then cut <lb/> |
|
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|
966 the rope yarnes of the breech gaskets last of all & both together. |
|
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|
967 </s> |
|
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|
968 </p> |
|
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|
969 <p> |
|
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|
970 <s xml:id="echoid-s89" xml:space="preserve"> |
|
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|
971 8. <emph style="super">The</emph> |
|
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|
972 Martenet line, one end is fastened under the top & reeved <emph style="st">thourough</emph> <lb/> |
|
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|
973 thourough a double pully with 3 shiners (2 one way & one another) that is <lb/> |
|
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|
974 thourough the single shiner & so comes backe to a pully under the top & so <lb/> |
|
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|
975 goes downe by the foremost shorude there to be haled; thourough the double <lb/> |
|
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|
976 shiners of the pully come one on one side & the other on <lb/> |
|
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|
977 the other of the yard; at whose endes are dead men eyes. And thourough <lb/> |
|
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|
978 the holes of the dead men eyes are peeces of small line bothe endes of <lb/> |
|
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|
979 which line are spliced fast into the bolterope on the side & make <lb/> |
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980 crow feet. The us <emph style="st">by</emph> is by haling the martenet line to bring <lb/> |
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981 the sayle close to the yard at the yardarmes end & forwards <lb/> |
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982 In like sort also are the martenets of the foresayle. |
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983 </s> |
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984 </p> |
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985 <p> |
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986 <s xml:id="echoid-s90" xml:space="preserve"> |
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987 The luffe hooke, is a rope with a hooke having an eye or <lb/> |
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988 hole, thorugh which a rope is reeved & spliced; whose use <lb/> |
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989 put the hooke into <emph style="super">the</emph> earing of the clew of the sayle <lb/> |
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990 if only the bonnet be on; or bonnet if drabble be on & the <lb/> |
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991 other end goeth thourough a hole in the ships side & there is haled <lb/> |
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992 in tought & belayed to helpe the tacke for feare of breaking. <lb/> |
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993 the mayne & foresayle only have this luffe hooke. |
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994 </s> |
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995 </p> |
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996 <p> |
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997 <s xml:id="echoid-s91" xml:space="preserve"> |
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998 [Diagram] <lb/> |
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999 a dead man eye <lb/> |
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1000 a luffe hooke |
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1001 </s> |
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1002 </p> |
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1003 <pb file="0050.jpg" o="25v" n="50"/> |
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1004 <pb file="0051.jpg" o="26r" n="51"/> |
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1005 <head xml:id="echoid-head12" xml:space="preserve"> |
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1006 Of ropes. <lb/> |
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1007 for sayles. |
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1008 </head> |
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1009 <p> |
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1010 <s xml:id="echoid-s92" xml:space="preserve"> |
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1011 4. Sheates; which are fatened to the clewes (lower corners <lb/> |
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1012 like nooses or eares alofte) <lb/> |
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1013 of the <emph style="super">mayne</emph> topsayle sheat, one end is fast to the clew <lb/> |
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1014 of the top sayle & is reeved thourough a blocke made fast <lb/> |
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1015 to the end of the mayne yard arme, & thourough an other <lb/> |
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1016 blocke fast on the same yard arme nere the maste & <lb/> |
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1017 so cometh down to a shener in a poste upon the deck nere <lb/> |
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1018 the maste. & serveth to hale out the clewes to the end <lb/> |
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1019 of the mayne yard arme. |
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1020 </s> |
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1021 </p> |
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1022 <p> |
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1023 <s xml:id="echoid-s93" xml:space="preserve"> |
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1024 5. The clew line. is a rope fast to the same clew (or corner) <lb/> |
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1025 & is reeved thourough a block fast to the top sayle yard <lb/> |
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1026 nere the midest of the yard arme on the same side, & so <lb/> |
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1027 cometh downe thourough a hole in the mayne top to a hole <lb/> |
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1028 <emph style="st">& thourough</emph> a peece of wood bond fast to |
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1029 <emph style="st">the</emph> one of the <emph style="super">mayne</emph> <lb/> |
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1030 shroudes on the same side; & there to be haled & fastened <lb/> |
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1031 in taking in the sayle. |
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1032 </s> |
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1033 </p> |
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1034 <p> |
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1035 <s xml:id="echoid-s94" xml:space="preserve"> |
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1036 His office is to hale downe the top sayle (halyendes <lb/> |
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1037 being let go.) & to hale up the clewes to the top sayle <lb/> |
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1038 yard arme, the top sayle sheates being let go <emph style="super">in</emph> taking it in. <lb/> |
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1039 in like manner the foretopsayle. |
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1040 </s> |
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1041 </p> |
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1042 <p> |
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1043 <s xml:id="echoid-s95" xml:space="preserve"> |
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1044 To the clew of the maynesayle is fastened a blocke with a strap <lb/> |
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1045 <emph style="st">and a button at the end by putting the button thourough</emph> |
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1046 <emph style="super">and a</emph> noose, <lb/> |
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1047 then one end of the main sheat is fast to a ring bolt <lb/> |
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1048 on the out side of the ship in the after part about the galley <lb/> |
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1049 & is reeved thourough the sayd block with a strap, & so cometh <lb/> |
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1050 reeved agayne thourough the mayne sheat block fastened <lb/> |
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1051 to the ship side with a strap in a ring bolt. & so cometh into the <lb/> |
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1052 ship to be halyd. & is to be <emph style="super">be</emph>layed about a kebble; which is <lb/> |
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1053 a peece of <emph style="super">wood</emph> fast to the ship side. <lb/> |
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1054 his office is to hale aft the clew of the sayle. |
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1055 </s> |
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1056 </p> |
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1057 <p> |
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1058 <s xml:id="echoid-s96" xml:space="preserve"> |
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1059 6. The mayne tacke, is fashion<emph style="super">ed</emph> taperwise bigger at one end then the other <lb/> |
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1060 at the great end is a knot like a button which is thrust thourough the nooose <lb/> |
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|
1061 of the clew, the noose of the strap of the sayd blocke being first put out or <lb/> |
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|
1062 <foreign xml:lang="lat">e contra</foreign>, so it is then fastened to the clew of the mayne sayle <lb/> |
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|
1063 & the samller end cometh in<emph style="super">to</emph> a hole thourough the ship side <lb/> |
|
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|
1064 out the luffe which is nere the forecastle at the bow agaynst the pitch of <lb/> |
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1065 the sterne, & is haled within bord thourough that hole, & belayed about <lb/> |
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1066 some kebble at the ships sides or at the upper bitte. his office <emph style="super">is</emph> to hale forward <lb/> |
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1067 the rayle untill it come <emph style="st">abord the</emph> close aboard the ship side. |
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1068 </s> |
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1069 </p> |
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1070 <pb file="0052.jpg" o="26v" n="52"/> |
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1071 <pb file="0053.jpg" o="27r" n="53"/> |
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1072 <head xml:id="echoid-head13" xml:space="preserve"> |
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1073 Of ropes |
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1074 </head> |
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1075 <p> |
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1076 <s xml:id="echoid-s97" xml:space="preserve"> |
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1077 3. Slinges. a rope <emph style="st">for</emph> <emph style="super">the</emph> mayne yard & fore yarde |
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1078 <emph style="super">used sometimes</emph> when the <lb/> |
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1079 yard is up to faten it or hang it in. least the [???] breake <lb/> |
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1080 or be shot asunder. |
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1081 </s> |
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1082 </p> |
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1083 <p> |
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1084 <s xml:id="echoid-s98" xml:space="preserve"> |
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1085 4. brases. for all the yardes. <emph style="super">except mizon yarders</emph>. |
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1086 fastened at the endes of the yardes <lb/> |
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1087 & running thourough pullyes to turne about the yardes. |
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1088 </s> |
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1089 </p> |
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1090 <p> |
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1091 <s xml:id="echoid-s99" xml:space="preserve"> |
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1092 5. liftes. for all the yardes. fastened at the endes of the yardes <lb/> |
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1093 & coming thourough pullyes <emph style="super">alofte</emph>; to lift the endes of the yardes <lb/> |
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1094 up: not the yardes them selves. |
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1095 </s> |
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1096 </p> |
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1097 <p> |
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1098 <s xml:id="echoid-s100" xml:space="preserve"> |
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1099 6. In great ships only. The gere. to ease the tyes in hoysing <lb/> |
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1100 & when it is up aloft also. for mayne and foreyarde only. |
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1101 </s> |
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1102 </p> |
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1103 <p> |
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1104 <s xml:id="echoid-s101" xml:space="preserve"> |
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1105 7. puddinges. short peeces of ropes nayled about the yardes <lb/> |
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1106 about a foot or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>1</mn><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> asonder to keep the Raubins <lb/> |
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1107 (of the sayles) from slipping or sliding. |
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1108 </s> |
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1109 </p> |
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1110 <p> |
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1111 <s xml:id="echoid-s102" xml:space="preserve"> |
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1112 b. the brases have <emph style="super">a</emph> pendent part fastened at <lb/> |
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1113 the endes of the yardes with a block (as the tackles) <lb/> |
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1114 & a running part. one end fast; & the other end <lb/> |
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1115 to hale by. it reeved thourough the block of the <lb/> |
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1116 pendent. |
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1117 </s> |
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1118 </p> |
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1119 <p> |
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1120 <s xml:id="echoid-s103" xml:space="preserve"> |
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1121 a rope is unreeved when he is out of the <lb/> |
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1122 pully. reve the rope. i. put him inot his pully. |
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1123 </s> |
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1124 </p> |
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1125 <head xml:id="echoid-head14" xml:space="preserve"> |
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1126 ropes for sayles |
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1127 </head> |
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1128 <p> |
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1129 <s xml:id="echoid-s104" xml:space="preserve"> |
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1130 1. bolt rope, that goeth round about the sayle into which the <lb/> |
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1131 rayle is sowed; the uppermost is called <emph style="super">the</emph> head rope <lb/> |
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1132 (side rope, foot rope) leech line (side line) there use. |
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1133 </s> |
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1134 </p> |
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1135 <p> |
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1136 <s xml:id="echoid-s105" xml:space="preserve"> |
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1137 2. (<emph style="st">Cringles I thnke</emph>) that go round about the aylet holes like a <lb/> |
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1138 lace to strengthen them. |
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1139 </s> |
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1140 </p> |
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1141 <p> |
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1142 <s xml:id="echoid-s106" xml:space="preserve"> |
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1143 3. Raubins, made fast in the aylet holes alofte & go round about <lb/> |
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1144 the yardes & tyed; betwen the puddinges which keep them from <lb/> |
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1145 sliding or slipping. |
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1146 </s> |
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1147 </p> |
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1148 <p> |
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1149 <s xml:id="echoid-s107" xml:space="preserve"> |
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1150 The earinges. which are nooses at the corners of the sayle <lb/> |
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1151 are fastened to the endes of the yard armes with such rope <lb/> |
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1152 many times thourough. |
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1153 </s> |
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1154 </p> |
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1155 <pb file="0054.jpg" o="27v" n="54"/> |
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1156 <pb file="0055.jpg" o="28r" n="55"/> |
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1157 <head xml:id="echoid-head15" xml:space="preserve"> |
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|
1158 Of ropes |
|
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1159 </head> |
|
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|
1160 <p> |
|
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1161 <s xml:id="echoid-s108" xml:space="preserve"> |
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1162 All ropes belonging to a ship serve to <emph style="st">3</emph> <emph style="super">4</emph> uses. |
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1163 </s> |
|
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1164 </p> |
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1165 <p> |
|
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1166 <s xml:id="echoid-s109" xml:space="preserve"> |
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1167 for mastes <lb/> |
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1168 yardes <lb/> |
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1169 sayles <lb/> |
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1170 ankers |
|
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1171 </s> |
|
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1172 </p> |
|
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1173 <p> |
|
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1174 <s xml:id="echoid-s110" xml:space="preserve"> |
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1175 mastes <lb/> |
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1176 <emph style="st">boltsprite</emph> bolesprite; boldsprite <lb/> |
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1177 foremaste <lb/> |
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|
1178 mayne mast <lb/> |
|
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1179 Bonaventure mizen <lb/> |
|
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|
1180 after mizen |
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1181 </s> |
|
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|
1182 </p> |
|
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1183 <p> |
|
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1184 <s xml:id="echoid-s111" xml:space="preserve"> |
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|
1185 of mastes <lb/> |
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1186 stayes <lb/> |
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1187 forestayes, backstayes <lb/> |
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1188 shroudes <lb/> |
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|
1189 top rope; to beare up the top mastes <lb/> |
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1190 one for every top maste <lb/> |
|
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1191 tackles |
|
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1192 </s> |
|
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1193 </p> |
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1194 <p> |
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1195 <s xml:id="echoid-s112" xml:space="preserve"> |
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1196 all have top mastes <lb/> |
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1197 upon the top of the mayne <lb/> |
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1198 maste & foremast <lb/> |
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1199 top gallants <lb/> |
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|
1200 & hier flagstaves |
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1201 </s> |
|
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1202 </p> |
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1203 <p> |
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1204 <s xml:id="echoid-s113" xml:space="preserve"> |
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1205 stay <emph style="super">of the</emph> foretopmast stay; |
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1206 from the top of the foretopmast to the hier part of the bolesprit. <lb/> |
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1207 forestay <emph style="st">stay</emph> of the foremaste from the top of the foremast to the bolesprit. <lb/> |
|
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|
1208 backe stayes of the foretopmast, from the top thereof to the aftermost parte of <lb/> |
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|
1209 the forecastle 2 or 3. |
|
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|
1210 </s> |
|
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|
1211 </p> |
|
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|
1212 <p> |
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|
1213 <s xml:id="echoid-s114" xml:space="preserve"> |
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|
1214 The mastes themselves have no back stayes; but there shroudes that <lb/> |
|
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|
1215 come from the crosse trees under the tops to there chayne wales. <lb/> |
|
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|
1216 made faste there with lanniers (ropes going thourough dead men eyes to hale <lb/> |
|
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|
1217 them tought) the peeces of wood with a ring of [???] & holes in them made <lb/> |
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|
1218 fast to chaynes under the cheyne wales are the <emph style="ul">dead men eyes</emph>. <lb/> |
|
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|
1219 In like manner are the other mastes. <lb/> |
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|
1220 But the top mast shroudes come to <emph style="super">the</emph> brim of the top & are fastened with <lb/> |
|
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|
1221 lanniers thourough dead men eyes like the other. |
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|
1222 </s> |
|
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|
1223 </p> |
|
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|
1224 <p> |
|
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|
1225 <s xml:id="echoid-s115" xml:space="preserve"> |
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|
1226 All the top mastes have a forestay & backe stayes. backstayes are standing <lb/> |
|
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|
1227 backestaye & backestaye; two standing backestayes on either side <lb/> |
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|
1228 one belongs to one top mast made to the out side of the ship; & the other within <lb/> |
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|
1229 being also two. |
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|
1230 </s> |
|
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|
1231 </p> |
|
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|
1232 <head xml:id="echoid-head16" xml:space="preserve"> |
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|
1233 yardes |
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|
1234 </head> |
|
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|
1235 <p> |
|
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|
1236 <s xml:id="echoid-s116" xml:space="preserve"> |
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|
1237 1. haliers, to hoyse them up with all, going thourough thourough <emph style="st">the ra</emph> head |
|
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|
1238 <emph style="super">and teh Knight.</emph> |
|
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|
1239 </s> |
|
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|
1240 </p> |
|
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1241 <p> |
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1242 <s xml:id="echoid-s117" xml:space="preserve"> |
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1243 2. tyes, fatened to the yardes coming thourough the houndes <lb/> |
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1244 which are holes thourough the cheekes (at the head of <lb/> |
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1245 the mastes) bearing up the crosse tree, having being <lb/> |
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1246 put thourough the vam head. |
|
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1247 </s> |
|
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1248 </p> |
|
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1249 <p> |
|
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1250 <s xml:id="echoid-s118" xml:space="preserve"> |
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1251 The <emph style="super">Mayne</emph> Knight is a peece of timber fast upon the slope <lb/> |
|
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1252 or second deck bolted fast to some beame. Having <lb/> |
|
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|
1253 shiners in it (wheles of pullyes) so that the mayne haliers <lb/> |
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1254 go thourgh the upper decks. |
|
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1255 </s> |
|
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1256 </p> |
|
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1257 <p> |
|
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1258 <s xml:id="echoid-s119" xml:space="preserve"> |
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|
1259 The fore Knight such an other <emph style="super">thourough which the fore haliers come</emph> |
|
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1260 but fastened to <emph style="st">the</emph> a <lb/> |
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1261 beame about the afterward part of the forecastle also upon the <lb/> |
|
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|
1262 slope or lower deck. |
|
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|
1263 </s> |
|
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1264 </p> |
|
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|
1265 <pb file="0056.jpg" o="28v" n="56"/> |
|
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|
1266 <pb file="0057.jpg" o="29r" n="57"/> |
|
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1267 <head xml:id="echoid-head17" xml:space="preserve"> |
|
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|
1268 Ropes. |
|
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|
1269 </head> |
|
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|
1270 <p> |
|
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1271 <s xml:id="echoid-s120" xml:space="preserve"> |
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|
1272 One end of the Cable is to be brought ont at the Hawse <lb/> |
|
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|
1273 and bent (mad fast) to the rynge of the Anchore, then <lb/> |
|
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1274 the other end must be brought to the Bytte (two upright <lb/> |
|
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|
1275 postes with a crosse peece of tymber bolted fast to beames alowe) <lb/> |
|
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|
1276 and ther be belayde. |
|
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|
1277 </s> |
|
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|
1278 </p> |
|
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|
1279 <p> |
|
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1280 <s xml:id="echoid-s121" xml:space="preserve"> |
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|
1281 then ther is a Bwye with a bwye rope, which rope is mad fast <lb/> |
|
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|
1282 to the corsse of the Anchore, by which the anchore is to be wayd which <lb/> |
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|
1283 a boat as occasion serveth. |
|
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|
1284 </s> |
|
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|
1285 </p> |
|
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|
1286 <p> |
|
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|
1287 <s xml:id="echoid-s122" xml:space="preserve"> |
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|
1288 in letting fale the Anchore which hangeth in a stopper (as they <lb/> |
|
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|
1289 cale it) a cock bylle ready to let fale, that when the master caleth <lb/> |
|
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|
1290 they cast of the stoper) lett fale: then <emph style="st">when</emph> ther are many hands <lb/> |
|
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|
1291 readye to over sette the fakes of the cable and followe it for feare <lb/> |
|
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|
1292 of kinks, and one standeth by the stopper that when they crye <lb/> |
|
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|
1293 stope he presently clapes the stopper about the cable and vers <lb/> |
|
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|
1294 agayne as he is bydd the master as the shype cranes untyle <lb/> |
|
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|
1295 shee be brought upe to a Bytter. |
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|
1296 </s> |
|
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|
1297 </p> |
|
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|
1298 <p> |
|
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1299 <s xml:id="echoid-s123" xml:space="preserve"> |
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|
1300 The stopper is a strong rope about a fathome longe one end <lb/> |
|
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|
1301 wherof is fast to the shypps syde (afore by the mange neer the <lb/> |
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|
1302 Hawse.) at some rynge boult) or havinge a knott at one end is <lb/> |
|
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|
1303 thrust thorowhe a hole in some stronge peece of tymber standinge <lb/> |
|
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|
1304 conveniently neere the foresayd place, the other end is loose to be <lb/> |
|
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|
1305 suddenly brought about the cable two or .3. tyms to stoppe it. <lb/> |
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|
1306 And in wayinge they cast one the stopper upon the cable, and then <lb/> |
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|
1307 cat it off at the Bytte & brynge the end to the capsten [???]. <lb/> |
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|
1308 </s> |
|
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|
1309 </p> |
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1310 <p> |
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1311 <s xml:id="echoid-s124" xml:space="preserve"> |
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1312 When the Anchor is upe to the Hawser thyey have a great yron hooke <lb/> |
|
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1313 to which a rope is fast which is caled a fyshhooke, they lett it downe and <lb/> |
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1314 heech it about one of the flowkes of the Anchore, & bringe the Rope <lb/> |
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|
1315 out to the end of a great peece of tymber thrust out over the syde <lb/> |
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1316 (which they cale a Davitt) & then cry hale fish &c. |
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1317 </s> |
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1318 </p> |
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1319 <p> |
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1320 <s xml:id="echoid-s125" xml:space="preserve"> |
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|
1321 Ther is one either syde the shyppbefore a peece of tymber fast to <lb/> |
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1322 the shype syde standinge out with a shyner at the ende, caled the catte <lb/> |
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1323 throwe which shyner they reeve a rope caled the catt rope one ende <lb/> |
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1324 wher of they fasten to the rynge of teh Anchore & hange this rope <lb/> |
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|
1325 putinge out the cable at the hawse they bringe it upe, & then with <lb/> |
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1326 takels they bringe the Anchor to the Bowe agayne. hale out &c. |
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1327 </s> |
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1328 </p> |
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1329 <p> |
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1330 <s xml:id="echoid-s126" xml:space="preserve"> |
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1331 the greatest Anchor they cale the shoote Anchor the other Bowers <lb/> |
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1332 ther is a smale Anchor with a longe cabled hawser which is caled <lb/> |
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1333 a kedginge Anchor to warpe upon when occasion serveth. |
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1334 </s> |
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1335 </p> |
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1336 <p> |
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1337 <s xml:id="echoid-s127" xml:space="preserve"> |
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1338 they lay out thsi smale Anchor with ther boat & bringinge the end <lb/> |
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1339 aborde they heave the shipe to it & then lett drope another smale <lb/> |
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1340 anchor under foote, & then lay out the kedginge anchor againe which <lb/> |
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1341 they cale warpinge &c. |
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1342 </s> |
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1343 </p> |
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1344 <p> |
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1345 <s xml:id="echoid-s128" xml:space="preserve"> |
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1346 this is used to gett out of a harbore when the wynd which bloweth <lb/> |
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1347 would serve yf you were without the harbore, but they use it not but <lb/> |
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1348 in fayre weather when the wynd doth not over blowe, for this <lb/> |
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1349 lytle anchor would not then hould the shyppe. |
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1350 </s> |
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1351 </p> |
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1352 <pb file="0058.jpg" o="29v" n="58"/> |
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1353 <pb file="0059.jpg" o="30r" n="59"/> |
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1354 <head xml:id="echoid-head18" xml:space="preserve"> |
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1355 Notes. |
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1356 </head> |
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1357 <p> |
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1358 <s xml:id="echoid-s129" xml:space="preserve"> |
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1359 The keele in a ship (100 t) of 12 yardes deep; 10 yardes broad <lb/> |
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1360 The sterne post & stern are below as the keele <lb/> |
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1361 but a loft the stern is thicker in & out (& otherwise also) <lb/> |
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1362 it ends in a quadrant, & comes into the beake head as a stump. <lb/> |
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1363 the beake hed is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>5</mn></mrow></mfrac></mstyle></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>6</mn></mrow></mfrac></mstyle></math> of the keele in length. <lb/> |
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1364 The timbers (of 100 t) of the midship bend, are 7 inches in & out <lb/> |
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1365 below & 8 inches brode, & a lofte about 3 inches every way. <lb/> |
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1366 The <emph style="super">lower</emph> wales are in thicknesse 5 yardes, & about 6 in bredth, the other are lesse <lb/> |
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1367 the planke between is 3 inches & so down to the keele, upward they <lb/> |
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1368 are thinner by degrees. |
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1369 </s> |
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1370 </p> |
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1371 <p> |
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1372 <s xml:id="echoid-s130" xml:space="preserve"> |
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1373 Upon the keel, the <emph style="super">floore timbers of the</emph> bendes are fastened with trennels; upon the <lb/> |
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1374 floore timbers the keelson runns alonge, being bolted to the keel <emph style="st">in</emph> <lb/> |
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1375 <emph style="st">divers places</emph> between the <emph style="st">floore</emph> bendes. then on both sides <lb/> |
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1376 the keelson is floored with plankes. |
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1377 </s> |
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1378 </p> |
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1379 <p> |
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1380 <s xml:id="echoid-s131" xml:space="preserve"> |
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1381 <emph style="st">The</emph> A ship is sayd to leake in the hoodings when the leakes at the <lb/> |
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1382 stern where the endes of the plankes are fastened. Mr <emph style="super">Barker</emph> devised a <lb/> |
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1383 false stern joyning to the other whereupon the plankes are better <lb/> |
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1384 fastened. (I thinke it better to be called a sternson.) |
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1385 </s> |
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1386 </p> |
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1387 <p> |
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1388 <s xml:id="echoid-s132" xml:space="preserve"> |
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1389 A David. |
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1390 </s> |
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1391 </p> |
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1392 <pb file="0060.jpg" o="30v" n="60"/> |
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1393 <pb file="0061.jpg" o="31r" n="61"/> |
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1394 <head xml:id="echoid-head19" xml:space="preserve"> |
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1395 Notes. of ships of warre |
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1396 </head> |
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1397 <p> |
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1398 <s xml:id="echoid-s133" xml:space="preserve"> |
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1399 wasteclothes. <emph style="st">that hang</emph> upon the rayles abaste & afore <lb/> |
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1400 in the wastes are stancheons with holes <lb/> |
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1401 chaynes going thourough, to which they are made <lb/> |
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1402 fast with raubins. |
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1403 </s> |
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1404 </p> |
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1405 <p> |
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1406 <s xml:id="echoid-s134" xml:space="preserve"> |
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1407 nettinges are specially over the waste, to keepe men from sudden <lb/> |
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1408 entring. |
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1409 </s> |
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1410 </p> |
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1411 <p> |
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1412 <s xml:id="echoid-s135" xml:space="preserve"> |
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1413 top armores, shadowes of cloth about the toppes for hiding of men <lb/> |
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1414 from sight of the enemy. |
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1415 </s> |
|
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1416 </p> |
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1417 <p> |
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1418 <s xml:id="echoid-s136" xml:space="preserve"> |
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1419 trap hatches <emph style="super">for close fights</emph> in the waste upon the half deck <lb/> |
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1420 with loop holes to shoote thourough to scoure the decke. <lb/> |
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1421 They have <emph style="super">also</emph> loopes <emph style="super">for close fights</emph> |
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1422 at every bulke head & out of the stridge. |
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1423 </s> |
|
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|
1424 </p> |
|
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|
1425 <p> |
|
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1426 <s xml:id="echoid-s137" xml:space="preserve"> |
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|
1427 for gallantry <lb/> |
|
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|
1428 flags <lb/> |
|
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1429 aunciente <lb/> |
|
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1430 stremers |
|
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1431 </s> |
|
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1432 </p> |
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1433 <pb file="0062.jpg" o="31v" n="62"/> |
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1434 <pb file="0063.jpg" o="32r" n="63"/> |
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1435 <head xml:id="echoid-head20" xml:space="preserve"> |
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|
1436 Notes. |
|
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1437 </head> |
|
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|
1438 <p> |
|
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1439 <s xml:id="echoid-s138" xml:space="preserve"> |
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1440 The beming <emph style="st">of</emph> of a ship: is the holding & appliying of breming wales. <lb/> |
|
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|
1441 To pay on stuffe. this is not well payed. <lb/> |
|
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1442 <emph style="st">pa</emph> pay on more. <lb/> |
|
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|
1443 They pay on the stuffe with mappes. <lb/> |
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1444 All under water & to the lower wales is don with brimston & pitch |
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1445 <emph style="super">rosen</emph> mingled <lb/> |
|
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1446 together. or with cæment. <lb/> |
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1447 The upper worke is don pitch & tar. only some use a rosen strake <lb/> |
|
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1448 that passeth by the waste. |
|
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|
1449 </s> |
|
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|
1450 </p> |
|
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|
1451 <p> |
|
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1452 <s xml:id="echoid-s139" xml:space="preserve"> |
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|
1453 dead rising |
|
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1454 </s> |
|
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|
1455 </p> |
|
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|
1456 <p> |
|
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1457 <s xml:id="echoid-s140" xml:space="preserve"> |
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|
1458 heave, in sight; heave, in sight (the anker) <lb/> |
|
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|
1459 when sometimes it is out of sight. |
|
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|
1460 </s> |
|
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|
1461 </p> |
|
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|
1462 <p> |
|
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|
1463 <s xml:id="echoid-s141" xml:space="preserve"> |
|
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|
1464 beveueling <lb/> |
|
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|
1465 a shawe wedge. when to much is cut away in beueling they put in <lb/> |
|
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|
1466 a shawe wedge. |
|
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|
1467 </s> |
|
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|
1468 </p> |
|
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|
1469 <p> |
|
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|
1470 <s xml:id="echoid-s142" xml:space="preserve"> |
|
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|
1471 Thrum platts. made of of rope yarne with thrumms to keep the yardes from fretting <lb/> |
|
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|
1472 against the shrouds, & in other places to save the sayles from fretting. |
|
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|
1473 </s> |
|
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|
1474 </p> |
|
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|
1475 <p> |
|
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|
1476 <s xml:id="echoid-s143" xml:space="preserve"> |
|
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|
1477 hight of mayne maste from mesures. |
|
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|
1478 </s> |
|
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|
1479 </p> |
|
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|
1480 <p> |
|
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|
1481 <s xml:id="echoid-s144" xml:space="preserve"> |
|
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|
1482 hatches <lb/> |
|
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|
1483 scuttles <lb/> |
|
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|
1484 scupper soles |
|
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|
1485 </s> |
|
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|
1486 </p> |
|
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|
1487 <p> |
|
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|
1488 <s xml:id="echoid-s145" xml:space="preserve"> |
|
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|
1489 Water ledges, upon the deckes at the ship sides <lb/> |
|
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|
1490 to keepe the water from the seame. <lb/> |
|
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|
1491 Carlings. <lb/> |
|
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|
1492 is the timber that receveth the tops <lb/> |
|
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|
1493 of the bends in the waste & maketh them fast to the ship side. <lb/> |
|
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|
1494 & so in <lb/> |
|
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|
1495 a boat. <lb/> |
|
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|
1496 a Jury maste, is a maste <emph style="st">added to</emph> set to an after that is <lb/> |
|
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|
1497 spent. |
|
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|
1498 </s> |
|
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|
1499 </p> |
|
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|
1500 <p> |
|
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|
1501 <s xml:id="echoid-s146" xml:space="preserve"> |
|
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|
1502 The thicke planckes that runne fore & aft <emph style="st">with</emph> on the inside of <lb/> |
|
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1503 the bende are called <emph style="st">[???]</emph> foot wales, |
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1504 in great ships <emph style="super">5 or</emph> 6 inches <lb/> |
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1505 thicke; about 12 inches broade or more. <emph style="st">The of great</emph> ordinary ships <lb/> |
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1506 have two foot wales on a side in hold, one below and one after hier <lb/> |
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1507 but planked between. <lb/> |
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1508 sleepers, are of the nature of footewales to helpe them. <lb/> |
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|
1509 riders, are helpers crosse wise as I think. <lb/> |
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1510 The plankes of great ships underwater <emph style="st">in</emph> & between |
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1511 the <emph style="super">two</emph> lower wales <lb/> |
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1512 are <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>4</mn><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> yardes & 4. & of smaller ships (of 100 t) .3. y. |
|
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1513 </s> |
|
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|
1514 </p> |
|
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1515 <p> |
|
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1516 <s xml:id="echoid-s147" xml:space="preserve"> |
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1517 Chamfering, is the taking away of the edges of the beames. |
|
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1518 </s> |
|
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|
1519 </p> |
|
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|
1520 <p> |
|
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1521 <s xml:id="echoid-s148" xml:space="preserve"> |
|
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1522 Ramminge is the boards in setting them up. ramming line. <lb/> |
|
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|
1523 shoringe the underlayinge & propping |
|
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|
1524 </s> |
|
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|
1525 </p> |
|
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|
1526 <pb file="0064.jpg" o="32v" n="64"/> |
|
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|
1527 <pb file="0065.jpg" o="33r" n="65"/> |
|
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1528 <head xml:id="echoid-head21" xml:space="preserve"> |
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|
1529 Notes. |
|
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|
1530 </head> |
|
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|
1531 <p> |
|
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|
1532 <s xml:id="echoid-s149" xml:space="preserve"> |
|
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|
1533 The mayne mast stands in a step upon the Keelson in the <lb/> |
|
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|
1534 middest of the keele in length. |
|
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|
1535 </s> |
|
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|
1536 </p> |
|
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|
1537 <p> |
|
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|
1538 <s xml:id="echoid-s150" xml:space="preserve"> |
|
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|
1539 The step is a square hole in a peece of timber fast <lb/> |
|
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|
1540 upon the keelson. |
|
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|
1541 </s> |
|
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|
1542 </p> |
|
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|
1543 <p> |
|
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1544 <s xml:id="echoid-s151" xml:space="preserve"> |
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|
1545 The slates. halt in the slates of the lee tacke. <lb/> |
|
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|
1546 of the lee bowline <lb/> |
|
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|
1547 or any else <lb/> |
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|
1548 1. end that ends loose |
|
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|
1549 </s> |
|
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|
1550 </p> |
|
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|
1551 <p> |
|
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|
1552 <s xml:id="echoid-s152" xml:space="preserve"> |
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|
1553 a passaredo. is <emph style="super">any short [???] about</emph> <emph style="super">that</emph> |
|
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|
1554 or the luffe hooke that on the clewe <lb/> |
|
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|
1555 of the <emph style="st">sayle</emph> mayne sayle specially when you are large <lb/> |
|
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|
1556 in a sea gate when the shippe is subject to yawing, to <lb/> |
|
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|
1557 steddy downe the clew. <lb/> |
|
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|
1558 clap on a passeredo &c, |
|
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|
1559 </s> |
|
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|
1560 </p> |
|
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|
1561 <p> |
|
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|
1562 <s xml:id="echoid-s153" xml:space="preserve"> |
|
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|
1563 Cringles are decke loops here & there one spliced into the <lb/> |
|
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|
1564 lower bolt rope of mayne sayle, foresayle, sprit sayle & bonnets <lb/> |
|
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|
1565 to take hold by putting <emph style="st">[???]</emph> |
|
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|
1566 an end <emph style="super">of a rope</emph> thourough, to hold the <lb/> |
|
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|
1567 sayle to, whyle they lace on the bonnet, and drabblers. |
|
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|
1568 </s> |
|
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|
1569 </p> |
|
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|
1570 <p> |
|
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|
1571 <s xml:id="echoid-s154" xml:space="preserve"> |
|
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|
1572 Clap on a guy. (i. guide), is <lb/> |
|
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|
1573 <emph style="st">to put</emph> in hoysing the boat, <lb/> |
|
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|
1574 if a ropes end be brought from <lb/> |
|
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|
1575 a fore & an other about <emph style="st">thourough</emph> <lb/> |
|
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|
1576 <emph style="st">a</emph> thourough <emph style="super">a ring</emph> or about a though <lb/> |
|
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|
1577 of the boat, to keep her steddy in <lb/> |
|
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|
1578 hoysing. |
|
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|
1579 </s> |
|
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|
1580 </p> |
|
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|
1581 <p> |
|
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|
1582 <s xml:id="echoid-s155" xml:space="preserve"> |
|
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|
1583 The Furring of a ship is when she <lb/> |
|
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|
1584 will not beare sayle for want of breadth <lb/> |
|
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|
1585 is to make <emph style="super">bilde</emph> <emph style="ist">make</emph> her broader without <lb/> |
|
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|
1586 side with timber or the plankes & thin <lb/> |
|
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|
1587 bord below & thicker upward. So far <lb/> |
|
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|
1588 as is fit; & housing it in upward <lb/> |
|
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|
1589 to agree with the upper wales by thinner <emph style="st">planckes</emph> <lb/> |
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1590 sides agayne. many marchants shippes are fyne <emph style="super">to</emph> be furred. |
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1591 </s> |
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1592 </p> |
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1593 <p> |
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1594 <s xml:id="echoid-s156" xml:space="preserve"> |
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1595 A ship will not stow 3 tire of <emph style="super">bunges or wine</emph> caske, excepte be 23 or 24 foote broade <lb/> |
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1596 the caske require 9 foote. the beames 10y thicke. underneth 4y planckes. <lb/> |
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1597 flore timbers, 7,y. 2, tire of caske will require 7, fo<emph style="super">t</emph>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math>. <lb/> |
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1598 one stowing <emph style="st">in the [???]</emph> |
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1599 the Kunshions <emph style="super">(i. hollows)</emph> of <lb/> |
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1600 the other. |
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1601 </s> |
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1602 </p> |
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1603 <p> |
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1604 <s xml:id="echoid-s157" xml:space="preserve"> |
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1605 [Diagram] <lb/> |
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1606 aylet holes <lb/> |
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1607 cringles <lb/> |
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1608 latchets <lb/> |
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1609 bonnets <lb/> |
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1610 cringle <lb/> |
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1611 drabler <lb/> |
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1612 earinges |
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1613 </s> |
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1614 </p> |
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1615 <pb file="0066.jpg" o="33v" n="66"/> |
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1616 <pb file="0067.jpg" o="34r" n="67"/> |
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1617 <head xml:id="echoid-head22" xml:space="preserve"> |
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1618 notes. |
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1619 </head> |
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1620 <p> |
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1621 <s xml:id="echoid-s158" xml:space="preserve"> |
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1622 The tackles, serve to stay the mastes whyle they set up <lb/> |
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1623 the shroudes tought. <lb/> |
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1624 Also to hoyse in the boate or ordnance or heavy thinges. |
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1625 </s> |
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1626 </p> |
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1627 <p> |
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1628 <s xml:id="echoid-s159" xml:space="preserve"> |
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1629 There are two or 3 tackles of a side bolt to the mayne mast <lb/> |
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1630 & fore maste for staying of the mastes & help the shroudes <lb/> |
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1631 & one <emph style="st">to be</emph> or other to be loosed for hoysing <emph style="super">in</emph> |
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1632 as occasion serveth. |
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1633 </s> |
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1634 </p> |
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1635 <p> |
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1636 <s xml:id="echoid-s160" xml:space="preserve"> |
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1637 There is some hoysing tackle fast to the mayne stay to <lb/> |
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1638 hoyse in goods, having all the parts as the other; only <lb/> |
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1639 insteed of a pendent a block with a strap (short cord) <lb/> |
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1640 made fast to the stay. |
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1641 </s> |
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1642 </p> |
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1643 <p> |
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1644 <s xml:id="echoid-s161" xml:space="preserve"> |
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1645 The armes of a yared. two halves. [???] wastes. |
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1646 </s> |
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1647 </p> |
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1648 <p> |
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1649 <s xml:id="echoid-s162" xml:space="preserve"> |
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1650 The brunt of the sayle, that <lb/> |
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1651 which swells. <lb/> |
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1652 A sayle cut with a good brunt. <lb/> |
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1653 (bent or bowing out). |
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1654 </s> |
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1655 </p> |
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1656 <p> |
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1657 <s xml:id="echoid-s163" xml:space="preserve"> |
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1658 <emph style="st">catharpin</emph> |
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1659 </s> |
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|
1660 </p> |
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1661 <p> |
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1662 <s xml:id="echoid-s164" xml:space="preserve"> |
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|
1663 The top sayle yardes <lb/> |
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|
1664 are a third of there under <lb/> |
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|
1665 yardes. |
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1666 </s> |
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1667 </p> |
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1668 <p> |
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1669 <s xml:id="echoid-s165" xml:space="preserve"> |
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|
1670 The mayne yard is the length <lb/> |
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|
1671 of the keele. |
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1672 </s> |
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|
1673 </p> |
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|
1674 <p> |
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|
1675 <s xml:id="echoid-s166" xml:space="preserve"> |
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|
1676 And I think the foreyard is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>3</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mstyle></math> of the mayne. <lb/> |
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|
1677 & the sprit sayle yarde <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>3</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mstyle></math> of that. |
|
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1678 </s> |
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1679 </p> |
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1680 <p> |
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1681 <s xml:id="echoid-s167" xml:space="preserve"> |
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1682 In a ship of 20f broad, the mayne mast is usually 20 yards. <lb/> |
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1683 In a ship of 40f (the Kings) brode, the mayne mast 32 yards. <lb/> |
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1684 In a ship of 16, foot broade; the mayne mast: 16 yardes and 4 foote. |
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1685 </s> |
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1686 </p> |
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1687 <p> |
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1688 <s xml:id="echoid-s168" xml:space="preserve"> |
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1689 The place where the maste goeth thourough the decke is <lb/> |
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1690 called the partners. They say: The mast is so many <lb/> |
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1691 inches thourough <emph style="st">at</emph> <emph style="super">in</emph> the partners. <lb/> |
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1692 & so many at the head of the house. |
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1693 </s> |
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1694 </p> |
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1695 <pb file="0068.jpg" o="34v" n="68"/> |
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1696 <pb file="0069.jpg" o="35r" n="69"/> |
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1697 <head xml:id="echoid-head23" xml:space="preserve"> |
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1698 Notes. |
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1699 </head> |
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1700 <p> |
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1701 <s xml:id="echoid-s169" xml:space="preserve"> |
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1702 Serving of ropes, is with rope yarne wound round about to save them <lb/> |
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1703 from fretting agaynst wood. |
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1704 </s> |
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1705 </p> |
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1706 <p> |
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1707 <s xml:id="echoid-s170" xml:space="preserve"> |
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1708 Whipping of ropes endes. with twyne to fasten the ende to keep him <lb/> |
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1709 from fazing out: i. riveling. |
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1710 </s> |
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1711 </p> |
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1712 <p> |
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1713 <s xml:id="echoid-s171" xml:space="preserve"> |
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1714 Kinking of a cable, or stiffe rope. a fold that happens when <lb/> |
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1715 the cable runneth out to fast & it doubles; for want of well <lb/> |
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1716 oversetting the flakes in paying out of <emph style="super">it</emph>; & then they say <lb/> |
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1717 stopp stop to get out the kink. |
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1718 </s> |
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1719 </p> |
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1720 <p> |
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1721 <s xml:id="echoid-s172" xml:space="preserve"> |
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1722 A <emph style="st">flake</emph> <emph style="super">fake</emph> is one bout of the coyle of a cabble. |
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1723 </s> |
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1724 </p> |
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1725 <p> |
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1726 <s xml:id="echoid-s173" xml:space="preserve"> |
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1727 A coyle of ropes. they coyle with the sonne. to coyle. |
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1728 </s> |
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|
1729 </p> |
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1730 <p> |
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1731 <s xml:id="echoid-s174" xml:space="preserve"> |
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|
1732 A log line. <lb/> |
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1733 A lead line. A deep sea line. a deep sea leaad. <lb/> |
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1734 A clew line. |
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|
1735 </s> |
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|
1736 </p> |
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|
1737 <p> |
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1738 <s xml:id="echoid-s175" xml:space="preserve"> |
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|
1739 Takles. are ropes whose one <emph style="super">end</emph> is made fast at the head of the <lb/> |
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1740 maste & the other end hath a <emph style="super">great</emph> pully <emph style="super">or blocke</emph> |
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1741 with <emph style="super">a</emph> shiner in it <lb/> |
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1742 & that part they call a pendent. then there is a <emph style="st">blocke fast</emph> <lb/> |
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1743 <emph style="st">at the chayne wale having shiners</emph> ring in the cheyne <lb/> |
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|
1744 wale into which is put a hooke fastened to a block <lb/> |
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1745 with shiners (a great pully). Then there is a standing <lb/> |
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|
1746 parte of the takle which goeth thourough the blocke of the <lb/> |
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1747 pendent & and hath <emph style="st">one other bl</emph> a long block with two shiners <lb/> |
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1748 one above an other at one end, & the other end is reeved (put) <lb/> |
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1749 thourough the sayd ring & there fastened about the ring to it self. <lb/> |
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1750 Then there is a running part <emph style="super">one end</emph> fastened to the foresayd block <lb/> |
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|
1751 with the hooke & so rived thourough the upper shiner of the block <lb/> |
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1752 of the standing part & one shiner <lb/> |
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1753 of the blocke with the hooke & so up <lb/> |
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1754 & downe agayne by the second <lb/> |
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1755 shiner of the blocke with hooke <lb/> |
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|
1756 & then the end to be haled & <lb/> |
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|
1757 to be fastened when they have <lb/> |
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|
1758 don about all the parts &c. |
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|
1759 </s> |
|
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|
1760 </p> |
|
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|
1761 <p> |
|
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|
1762 <s xml:id="echoid-s176" xml:space="preserve"> |
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|
1763 [Diagram] <lb/> |
|
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1764 a. the pendent <lb/> |
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1765 b. the standing part <lb/> |
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1766 c. the runnere |
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1767 </s> |
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1768 </p> |
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1769 <pb file="0070.jpg" o="35v" n="70"/> |
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1770 <pb file="0071.jpg" o="36r" n="71"/> |
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1771 <head xml:id="echoid-head24" xml:space="preserve"> |
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1772 notes |
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1773 </head> |
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1774 <p> |
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1775 <s xml:id="echoid-s177" xml:space="preserve"> |
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1776 Tackle <lb/> |
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1777 ground tackle <lb/> |
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1778 coyling of a cable <lb/> |
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1779 vering <lb/> |
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1780 paying |
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1781 </s> |
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1782 </p> |
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1783 <p> |
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1784 <s xml:id="echoid-s178" xml:space="preserve"> |
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1785 to Travers, to lavere the [???] <lb/> |
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1786 to make way bordes <lb/> |
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1787 to turne |
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1788 </s> |
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1789 </p> |
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1790 <p> |
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1791 <s xml:id="echoid-s179" xml:space="preserve"> |
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1792 overcast futtockes <lb/> |
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1793 cammering <lb/> |
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1794 hookes |
|
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1795 </s> |
|
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1796 </p> |
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1797 <p> |
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1798 <s xml:id="echoid-s180" xml:space="preserve"> |
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1799 <emph style="st">a luffe in the wind</emph> <emph style="super">a luffe</emph>; |
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1800 i. stay her in the wind to hinder her way. <lb/> |
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1801 a luffe & shake in the wind. |
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1802 </s> |
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1803 <lb/> |
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1804 <s xml:id="echoid-s181" xml:space="preserve"> |
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1805 to heave up: to pay. to go from the wind. <lb/> |
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1806 that is brace up the helme. |
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1807 </s> |
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1808 <lb/> |
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1809 <s xml:id="echoid-s182" xml:space="preserve"> |
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1810 roomer; all one; roome her. or geve her roome. <lb/> |
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1811 </s> |
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1812 <lb/> |
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1813 <s xml:id="echoid-s183" xml:space="preserve"> |
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1814 bittes <lb/> |
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1815 a bitter. i. a stopper |
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1816 </s> |
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1817 </p> |
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1818 <p> |
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1819 <s xml:id="echoid-s184" xml:space="preserve"> |
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1820 cammering of <lb/> |
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1821 the beames, or <lb/> |
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1822 deck. is there <lb/> |
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|
1823 convexity. <lb/> |
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|
1824 an inch to a foote. <lb/> |
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1825 for the half bredth. |
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|
1826 </s> |
|
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|
1827 </p> |
|
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|
1828 <p> |
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1829 <s xml:id="echoid-s185" xml:space="preserve"> |
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|
1830 to bring her upon the careen. i. to lay her upon one side on the water <lb/> |
|
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1831 that the garbell streak may be calked. |
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1832 </s> |
|
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1833 <lb/> |
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1834 <s xml:id="echoid-s186" xml:space="preserve"> |
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|
1835 the garbell streake is that shaves next to the keele. <lb/> |
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|
1836 the spaniards do build some help on the side that must beare <lb/> |
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1837 other <emph style="st">streakes</emph> seames are called streakes. (or streakes of plankes) |
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1838 </s> |
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1839 <lb/> |
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1840 <s xml:id="echoid-s187" xml:space="preserve"> |
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|
1841 to more: is to ankre with two ankers lesse than a cable distant <lb/> |
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1842 to more with foure. |
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1843 </s> |
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1844 <lb/> |
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1845 <s xml:id="echoid-s188" xml:space="preserve"> |
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|
1846 to wend or turne |
|
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1847 </s> |
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1848 <lb/> |
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1849 <s xml:id="echoid-s189" xml:space="preserve"> |
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|
1850 a shot of cable, is two cables, bent together; i. wound one about another |
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1851 <emph style="super">& frayed</emph> i. tyed <lb/> |
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|
1852 to make at one in length. |
|
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1853 </s> |
|
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|
1854 <lb/> |
|
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1855 <s xml:id="echoid-s190" xml:space="preserve"> |
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1856 a splice <emph style="super">i. a wynt.)</emph>. to splice is to joyne the ropes or cables together <lb/> |
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1857 by opening the ends & working one in an other with a fid. |
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1858 </s> |
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1859 <lb/> |
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1860 <s xml:id="echoid-s191" xml:space="preserve"> |
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1861 A Fid, <emph style="super">i. a bodkin.</emph> is an iron about a foot longe & less; |
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1862 of the fashion of a <emph style="st">reeve</emph> <emph style="super">bodkin</emph>. <lb/> |
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1863 A Fid hammer: a hammer & fid in one. |
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1864 </s> |
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1865 <lb/> |
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1866 <s xml:id="echoid-s192" xml:space="preserve"> |
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1867 A crooked square pin going into the foote of the top maste to stay it <lb/> |
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1868 from sinking lower, is called a Fid also. <lb/> |
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1869 This fid stayes upon the crosse trees. (or tressle I think.) |
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1870 </s> |
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1871 </p> |
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1872 <pb file="0072.jpg" o="36v" n="72"/> |
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1873 <pb file="0073.jpg" o="37r" n="73"/> |
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1874 <head xml:id="echoid-head25" xml:space="preserve"> |
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1875 Notes. |
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1876 </head> |
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1877 <p> |
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1878 <s xml:id="echoid-s193" xml:space="preserve"> |
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1879 The sheathing of ship to keepe her from wormes, though bords below <lb/> |
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1880 <emph style="super">with which I think upward</emph> <emph style="super">upward, above the water</emph> |
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1881 with tar & here between, with the tarre <lb/> |
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1882 some simple powder <emph style="super">as</emph> glasse. |
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1883 </s> |
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1884 </p> |
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1885 <p> |
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1886 <s xml:id="echoid-s194" xml:space="preserve"> |
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1887 The parrell. (i. apparell.) it <emph style="st">joy</emph> ioynes the yard <lb/> |
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1888 to the maste; a cheyne of truckles. |
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1889 </s> |
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1890 </p> |
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1891 <p> |
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1892 <s xml:id="echoid-s195" xml:space="preserve"> |
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1893 counters |
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1894 </s> |
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1895 </p> |
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1896 <p> |
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1897 <s xml:id="echoid-s196" xml:space="preserve"> |
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1898 The Crosse peeces, are called transomes in the [???] peece. <lb/> |
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1899 Amiddes ship they are called Beames. <lb/> |
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1900 The Mayne beam. |
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1901 </s> |
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1902 </p> |
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1903 <p> |
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1904 <s xml:id="echoid-s197" xml:space="preserve"> |
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1905 pillers. pillerifing. posts that heave up <lb/> |
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1906 the beames whether <lb/> |
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1907 they be upright or oblike. |
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1908 </s> |
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1909 </p> |
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1910 <p> |
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1911 <s xml:id="echoid-s198" xml:space="preserve"> |
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1912 Knees <lb/> |
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1913 hookes & runnel peeces <lb/> |
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1914 hoodinges, the fasteninges <emph style="super">of the workes</emph> at the sterne <lb/> |
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1915 boltes, rings & forelocks <lb/> |
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1916 Trennels; i. wooden pinnes <lb/> |
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1917 Spikes, i. long great nayles. <lb/> |
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1918 The sheat anker. shoot anker <lb/> |
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1919 Keckling of cable, i. is the sheathing <lb/> |
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1920 platting of a cable <lb/> |
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1921 The channell is dorved up i. stopped (with mud or sand) <lb/> |
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1922 To warp with a <emph style="super">small</emph> kedging anker & a hawser. |
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1923 </s> |
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1924 </p> |
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1925 <p> |
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1926 <s xml:id="echoid-s199" xml:space="preserve"> |
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1927 sparse decke |
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1928 </s> |
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1929 </p> |
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1930 <p> |
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1931 <s xml:id="echoid-s200" xml:space="preserve"> |
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1932 sinet. <lb/> |
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1933 gaskets. <lb/> |
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1934 plats. <lb/> |
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1935 clew |
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1936 </s> |
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1937 </p> |
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1938 <p> |
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1939 <s xml:id="echoid-s201" xml:space="preserve"> |
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1940 knittle; two yarnes knitted together. |
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1941 </s> |
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1942 </p> |
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1943 <p> |
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1944 <s xml:id="echoid-s202" xml:space="preserve"> |
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1945 Thoughts of a boat <lb/> |
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1946 the crosse peeces they <lb/> |
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1947 sit on a  [???] |
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1948 </s> |
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1949 </p> |
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1950 <p> |
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1951 <s xml:id="echoid-s203" xml:space="preserve"> |
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1952 Hawsers of ropes cable layed; (one rope made of 3 strandes, & 3 make another <emph style="super">rope</emph> <lb/> |
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1953 cable layd, one strand many thirds. |
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1954 </s> |
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1955 <lb/> |
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1956 <s xml:id="echoid-s204" xml:space="preserve"> |
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1957 to bevel. bevelling |
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1958 </s> |
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1959 <lb/> |
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1960 <s xml:id="echoid-s205" xml:space="preserve"> |
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1961 buoy. buoy rope. made fast to teh buoy & the crosse of the anker. |
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1962 </s> |
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1963 <lb/> |
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1964 <s xml:id="echoid-s206" xml:space="preserve"> |
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1965 bote rope. to two the bote. |
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1966 </s> |
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1967 <lb/> |
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1968 <s xml:id="echoid-s207" xml:space="preserve"> |
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1969 bolt ropes. that <emph style="st">the</emph> the sayles are sowed to: |
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1970 </s> |
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1971 <lb/> |
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1972 <s xml:id="echoid-s208" xml:space="preserve"> |
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1973 keele rope; runnes along <emph style="st">by</emph> |
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1974 <emph style="super">upon</emph> the keele thourough the timber holes. <lb/> |
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1975 which are holes under every bend to geve passage <lb/> |
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1976 to the water to come to the pompe. |
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1977 </s> |
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1978 </p> |
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1979 <p> |
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1980 <s xml:id="echoid-s209" xml:space="preserve"> |
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1981 The ship is timber sicke, when the timbers stopped, & the the <emph style="super">keel</emph> rope <lb/> |
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1982 is to clere it. they have besides here & there spurcuts to pull up <lb/> |
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1983 to come to the rope, or holes. Spurcut a <emph style="st">peec</emph> aquare peece of wood <lb/> |
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1984 to stop up a place withall. |
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1985 </s> |
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1986 </p> |
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1987 <p> |
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1988 <s xml:id="echoid-s210" xml:space="preserve"> |
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1989 [Diagram] <lb/> |
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1990 Stock <lb/> |
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1991 flookes <lb/> |
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1992 a) the crosse |
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1993 </s> |
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1994 </p> |
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1995 <pb file="0074.jpg" o="37v" n="74"/> |
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1996 <pb file="0075.jpg" o="38r" n="75"/> |
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1997 <head xml:id="echoid-head26" xml:space="preserve"> |
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1998 Notes. |
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1999 </head> |
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2000 <p> |
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2001 <s xml:id="echoid-s211" xml:space="preserve"> |
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2002 For the length of the mayne maste. (from the step to the top or whole <lb/> |
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2003 length) <lb/> |
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2004 Mr Barkers rule <lb/> |
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2005 grounded on the experience of a ship of 20f broad doth very well <lb/> |
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2006 with a mast of 20 yards long. |
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2007 </s> |
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2008 </p> |
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2009 <p> |
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2010 <s xml:id="echoid-s212" xml:space="preserve"> |
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2011 breadth of the ship. high of the mast. <lb/> |
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2012 feet. yardes. feet. yardes. feet. |
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2013 </s> |
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2014 </p> |
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2015 <pb file="0076.jpg" o="38v" n="76"/> |
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2016 <pb file="0077.jpg" o="39r" n="77"/> |
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2017 <div xml:id="echoid-div3" type="page_commentary" level="2" n="3"> |
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2018 <p> |
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2019 <s xml:id="echoid-s213" xml:space="preserve">[<emph style="it">Note: |
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2020 <p> |
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2021 <s xml:id="echoid-s213" xml:space="preserve"> |
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2022 Unfortunately, it has not been possible to trace any surviving copy of Edmund Marlow's |
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2023 <emph style="it">Ars naupegica</emph>. |
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2024 </s> |
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2025 </p> |
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2026 </emph>] |
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2027 <lb/><lb/></s></p></div> |
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2028 <head xml:id="echoid-head27" xml:space="preserve"> |
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2029 Notes taken out Captayne Edmund Marloe his booke <lb/> |
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2030 intituled Ars Naupegica. or the art of ship building. |
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2031 </head> |
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2032 <p> |
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2033 <s xml:id="echoid-s215" xml:space="preserve"> |
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2034 The Easterling, Dues or Fleming, build floty ships by reason those <lb/> |
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2035 countryes are subiect to flats & shoulds. And because they often bring <lb/> |
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2036 them a ground they have much flat flore to rest them on. There sides <lb/> |
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2037 also are upright, and are built so for burthen & small draught of water. <lb/> |
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2038 And they beare sayle not so much for there sides, but by reason of the <lb/> |
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2039 great weyght that lyeth below upon the flore, (being so broad & long). <lb/> |
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2040 But these for the most part are evill conditioned ships in the sea: <lb/> |
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2041 being subiect to rowle, tumble, & leape in a wrought sea; so that <lb/> |
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2042 you must allwayes keep some sayle abrode. |
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2043 </s> |
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2044 </p> |
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2045 <p> |
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2046 <s xml:id="echoid-s216" xml:space="preserve"> |
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2047 Contrarywise the Spaniard (not accustomed to bring his ships a ground) <lb/> |
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2048 but allwayes to ride aflote, and also to trimme his ships upon the <lb/> |
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2049 carine) buildeth sharpe deep ships, hanging of for the most part upon <lb/> |
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2050 the nayle. As you may se by there Carbells. And there Caractes <lb/> |
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2051 likewise for the most part flare much of aloft. Now these hold a <lb/> |
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2052 better wind & are easier in a wrought sea, and will commonly hull well, <lb/> |
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2053 & wether quoyle. But they draw much water & are not well to be brought <lb/> |
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2054 a ground without good floring for feare they fall over. |
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2055 </s> |
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2056 </p> |
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2057 <p> |
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2058 <s xml:id="echoid-s217" xml:space="preserve"> |
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2059 The Frenchmen are nearest to perfection in bearing style & going <lb/> |
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2060 well, being neat moulded ships. But they are not commmonly so great <lb/> |
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2061 in burthen as they loome for. They have lolng rakes & sharp forward <lb/> |
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2062 on; and there decks steeve much forward. Where contrarywise, the <lb/> |
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2063 Easterling & Dues have short upright rakes & bloof ships forwards <lb/> |
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2064 on. Also there decks steeve or hung afterwardes on. |
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2065 </s> |
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2066 </p> |
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2067 <p> |
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2068 <s xml:id="echoid-s218" xml:space="preserve"> |
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2069 But our English ships are intended to have such perfection, that <lb/> |
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2070 (according to the intent of the builder) they hold burden with the <lb/> |
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2071 Fleming; bearing with the Spaniard; going well with the French &c. |
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2072 </s> |
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2073 </p> |
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2074 <p> |
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2075 <s xml:id="echoid-s219" xml:space="preserve"> |
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2076 Every nation aymeth at this to have there ships go well & stear well <lb/> |
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2077 which proceedeth especially from the well weying of a ship fore & afte <lb/> |
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2078 for the Runne & Tuck. |
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2079 </s> |
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2080 </p> |
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2081 <p> |
|
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2082 <s xml:id="echoid-s220" xml:space="preserve"> |
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2083 These are the cheif propertyes of a ship in the sea. TO go well; to <lb/> |
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2084 stear well, & beare a good sayle. As for the Burthen that belongeth <lb/> |
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2085 to the owners profit, which some to much affecting hath made us to <lb/> |
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2086 have so many furred ships. |
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2087 </s> |
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2088 </p> |
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2089 <p> |
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2090 <s xml:id="echoid-s221" xml:space="preserve"> |
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2091 Some have made a ship of 19 foot brode, to be 8 foot and a <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> in houlde, where-<lb/> |
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2092 by to carry three tyre of Burdeux cask, which cannot welbe don <lb/> |
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2093 in lesse then 21 feet brode. They have been fayne afterwards (when <lb/> |
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2094 they see to there greef that she will beare no sail) to fur her at <lb/> |
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2095 least a foot on a side more; all which is lost in hold to there hindrance. |
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2096 </s> |
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2097 </p> |
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2098 <pb file="0078.jpg" o="39v" n="78"/> |
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2099 <pb file="0079.jpg" o="40r" n="79"/> |
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2100 <head xml:id="echoid-head28" xml:space="preserve"> |
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|
2101 The shipwrites order of <lb/> |
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|
2102 beveling. |
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2103 </head> |
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2104 <p> |
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2105 <s xml:id="echoid-s222" xml:space="preserve"> |
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|
2106 These angles <lb/> |
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2107 here expressed are <lb/> |
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2108 not the true angles <lb/> |
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2109 of beveling for the <lb/> |
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|
2110 plot; but are fayned <lb/> |
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2111 only for example. |
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2112 </s> |
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2113 </p> |
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2114 <p> |
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2115 <s xml:id="echoid-s223" xml:space="preserve"> |
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|
2116 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mi>c</mi></mstyle></math>, the angle of beveling the aftermost bend. <lb/> |
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|
2117 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>e</mi><mi>f</mi></mstyle></math>, a right angle, the angle of bevelong of <lb/> |
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|
2118 the midship bend. <lb/> |
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|
2119 The beveling angles of the other bendes <lb/> |
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2120 are betweene after the manner as <lb/> |
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2121 here appeareth. |
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2122 </s> |
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2123 </p> |
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2124 <p> |
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2125 <s xml:id="echoid-s224" xml:space="preserve"> |
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2126 The beveling is used at the lower & upper narrowinges <lb/> |
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2127 only, the rest between is hewed to agree with there moulds <lb/> |
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2128 because some parte of them serve for every bende &c. |
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2129 </s> |
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2130 </p> |
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2131 <pb file="0080.jpg" o="40v" n="80"/> |
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2132 <p> |
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2133 <s xml:id="echoid-s225" xml:space="preserve"> |
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2134 The boteswayne with his ging. (company.) <lb/> |
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2135 bang the rope (tabe). |
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2136 </s> |
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2137 </p> |
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2138 <pb file="0081.jpg" o="41r" n="81"/> |
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2139 <head xml:id="echoid-head29" xml:space="preserve"> |
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2140 Notes. |
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2141 </head> |
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2142 <p> |
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2143 <s xml:id="echoid-s226" xml:space="preserve"> |
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2144 It is knowne by experience that a ship whose depth. 10, foote <lb/> |
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2145 bredth. 20 <lb/> |
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2146 length 50 by the keele <lb/> |
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2147 is of burden a 100 tonne. |
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2148 </s> |
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2149 </p> |
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2150 <p> |
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2151 <s xml:id="echoid-s227" xml:space="preserve"> |
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2152 M<emph style="super">r</emph>. Baker makes this rule & findes it <lb/> |
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2153 little more or lesse than the truth otherwise tried: <lb/> |
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2154 he makes a solid nomber of 10. 20. & 50; & then <lb/> |
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2155 devides it by a hundred; the quotient is the tonnes of burden; |
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2156 <emph style="super">(in hold as I take it)</emph> <lb/> |
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2157 the sayd length depth & bredth must be in feete for this rule. |
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2158 </s> |
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2159 </p> |
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2160 <p> |
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2161 <s xml:id="echoid-s228" xml:space="preserve"> |
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2162 ffor tonne & tonnage of the Kinges ships he multiplyes as before <lb/> |
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2163 but devides by 70. & the quotient is counted her tonnage. <lb/> |
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2164 By these rules <emph style="super">the</emph> tonnage of shipps is measured for the King. |
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2165 </s> |
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2166 </p> |
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2167 <p> |
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2168 <s xml:id="echoid-s229" xml:space="preserve"> |
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2169 Tonne & tonnage is what a ship doth carry of ordinaure mastes <lb/> |
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2170 sayles & yardes, together with that which she carry in hold: &c. |
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|
2171 </s> |
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2172 </p> |
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2173 <p> |
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2174 <s xml:id="echoid-s230" xml:space="preserve"> |
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2175 Ths solid nomber of 10. 20. 50. is: 10,000. And so many solide feet <lb/> |
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|
2176 is that parallelepiped. <lb/> |
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2177 Now it semeth to me that that parallelepipied is to the bulke of the <lb/> |
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|
2178 ship as 3 to 1. or nere. for devide the nomber by 3 & then <lb/> |
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|
2179 the bulke bulke of the hsip is, 3,333. in feet. then every solide foot <lb/> |
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2180 holding 64 pound of water; I multiply it by 64 and it amounteth <lb/> |
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|
2181 to in pounds, 213, 312. which devided <lb/> |
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|
2182 by .2240. yieldeth 95, tonne. 20 times 112<emph style="super">lb</emph> being <lb/> |
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|
2183 the tonne. <lb/> |
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2184 but by 2000, yieldeth 106. tonne. reckoning 20 times <lb/> |
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|
2185 100, only for the tonne. <lb/> |
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|
2186 And so M<emph style="super">r</emph> Bakers rule <lb/> |
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2187 happeneth to be the meane. |
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|
2188 </s> |
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|
2189 </p> |
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|
2190 <p> |
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2191 <s xml:id="echoid-s231" xml:space="preserve"> |
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|
2192 In deviding it by 70, the <lb/> |
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|
2193 tonnage it is 143 tonnes. <lb/> |
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2194 That tonne being 2,240<emph style="super">lb</emph> <lb/> |
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2195 maketh the above sayd parall-<lb/> |
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2196 epiped to be just double to <lb/> |
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|
2197 the bulke. Therefore 5000 <lb/> |
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2198 multiplied by 64 maketh <lb/> |
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2199 320,000<emph style="super">lb</emph> & devided by <lb/> |
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2200 2240. yieldeth 143. |
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|
2201 </s> |
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2202 </p> |
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2203 <p> |
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2204 <s xml:id="echoid-s232" xml:space="preserve"> |
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|
2205 But of this matter more is to be considered <lb/> |
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|
2206 by the true solidity of the ship gotten by <lb/> |
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|
2207 geometrciall measure. &c. |
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2208 </s> |
|
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|
2209 </p> |
|
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2210 <p> |
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2211 <s xml:id="echoid-s233" xml:space="preserve"> |
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2212 The caracte taken by S<emph style="super">r</emph> J. Barres <lb/> |
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|
2213 length. 100. foot <lb/> |
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2214 breadth. 47. f <lb/> |
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2215 depth. 31. f <lb/> |
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2216 by this recconing <lb/> |
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2217 of 1457. tonne <lb/> |
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2218 but counted 1600. tonne <lb/> |
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2219 see. voyages. 2. 198. |
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2220 </s> |
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2221 </p> |
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2222 <pb file="0082.jpg" o="41v" n="82"/> |
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2223 <p> |
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2224 <s xml:id="echoid-s234" xml:space="preserve"> |
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2225 Sterne <lb/> |
|
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|
2226 Counters <lb/> |
|
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2227 The ruder <lb/> |
|
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2228 The keele |
|
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2229 </s> |
|
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2230 </p> |
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2231 <p> |
|
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2232 <s xml:id="echoid-s235" xml:space="preserve"> |
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|
2233 quarters, abaft, <lb/> |
|
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2234 bowes, afore |
|
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2235 </s> |
|
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|
2236 </p> |
|
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|
2237 <p> |
|
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2238 <s xml:id="echoid-s236" xml:space="preserve"> |
|
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|
2239 When they carry light goods they <emph style="super">must</emph> have kintledge |
|
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|
2240 <emph style="super">heavy goods</emph> (keel tonnage) <lb/> |
|
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|
2241 to ly be lowe, <emph style="super">as</emph> <emph style="st">eith</emph> |
|
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|
2242 lead, iron <emph style="super">or in steed</emph> stones or ballast (gravel or shingle (pebles |
|
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|
2243 </s> |
|
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|
2244 </p> |
|
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|
2245 <p> |
|
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|
2246 <s xml:id="echoid-s237" xml:space="preserve"> |
|
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|
2247 The helme <lb/> |
|
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|
2248 The ship of the helme |
|
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|
2249 </s> |
|
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|
2250 </p> |
|
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|
2251 <p> |
|
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|
2252 <s xml:id="echoid-s238" xml:space="preserve"> |
|
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|
2253 prora et pappis <lb/> |
|
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|
2254 prora et poop |
|
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|
2255 </s> |
|
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|
2256 </p> |
|
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|
2257 <p> |
|
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|
2258 <s xml:id="echoid-s239" xml:space="preserve"> |
|
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|
2259 The rake of <lb/> |
|
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|
2260 the stem. |
|
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|
2261 </s> |
|
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|
2262 </p> |
|
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|
2263 <p> |
|
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|
2264 <s xml:id="echoid-s240" xml:space="preserve"> |
|
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|
2265 porte holes. 2. foote [???] <lb/> |
|
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|
2266 2, foot: above the [???] <lb/> |
|
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|
2267 for the carriadge [???] <lb/> |
|
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|
2268 10 or 11 for asunder [???] <lb/> |
|
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|
2269 the bends will geve [???] <lb/> |
|
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|
2270 timbers |
|
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|
2271 </s> |
|
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|
2272 </p> |
|
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|
2273 <p> |
|
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|
2274 <s xml:id="echoid-s241" xml:space="preserve"> |
|
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|
2275 Shee lyes down like a crab. <lb/> |
|
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|
2276 Shee is a crab sided thing. <lb/> |
|
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|
2277 when shee will not bear sayle |
|
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|
2278 </s> |
|
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|
2279 </p> |
|
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|
2280 <p> |
|
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|
2281 <s xml:id="echoid-s242" xml:space="preserve"> |
|
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|
2282 Shee is very thyte. i. not leaky. Shee is stanes (of the [???] <lb/> |
|
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|
2283 water of the [???] <lb/> |
|
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|
2284 pompe of [???] |
|
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|
2285 as thyte as a fish <lb/> |
|
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|
2286 Wee drinke more than we pomp. |
|
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|
2287 </s> |
|
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|
2288 </p> |
|
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|
2289 <p> |
|
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|
2290 <s xml:id="echoid-s243" xml:space="preserve"> |
|
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|
2291 The mayne corse. <lb/> |
|
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|
2292 The forecastle corse |
|
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|
2293 </s> |
|
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|
2294 </p> |
|
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|
2295 <p> |
|
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|
2296 <s xml:id="echoid-s244" xml:space="preserve"> |
|
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|
2297 The printel of her rudder <lb/> |
|
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|
2298 the gudgeon. the iron that swallowes the pintel |
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2299 </s> |
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2300 </p> |
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2301 <p> |
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2302 <s xml:id="echoid-s245" xml:space="preserve"> |
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2303 The fooke sayle |
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2304 </s> |
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2305 </p> |
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2306 <p> |
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2307 <s xml:id="echoid-s246" xml:space="preserve"> |
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2308 (A plugge or stopple.) |
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2309 </s> |
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2310 </p> |
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2311 <p> |
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2312 <s xml:id="echoid-s247" xml:space="preserve"> |
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2313 I skite well but I <lb/> |
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2314 plump not. |
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2315 </s> |
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2316 </p> |
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2317 <pb file="0083.jpg" o="42r" n="83"/> |
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2318 <head xml:id="echoid-head30" xml:space="preserve"> |
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2319 Of the fashion peece. |
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2320 </head> |
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2321 <p> |
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2322 <s xml:id="echoid-s248" xml:space="preserve"> |
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2323 The inner playne of the fashion peece tieth in the line ** which <lb/> |
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2324 is best to be made parallell, to the sterne post or if not parallell <lb/> |
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2325 to make an <emph style="st">obsu</emph> obtuser angle somewhat with the <emph style="st">sterne</emph> keele. <lb/> |
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2326 but in this plot inclineth somewhat the contrary way by which <lb/> |
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2327 this fashion peece is made. it is best that the uppermost starre <lb/> |
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2328 stand in an even bend (which here is the 23<emph style="super">th</emph>) in uppermost rising <lb/> |
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2329 line. <emph style="st">where</emph> Therefore in the parallell for the 23<emph style="super">th</emph> bend <lb/> |
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2330 in the playne of bredth & length is to be taken <emph style="st">the length & bredth</emph> <lb/> |
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2331 the narrowing & bredth a loft for the fashion peece. <lb/> |
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2332 to which narrowing, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>e</mi></mstyle></math> is æquall; so that <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math> is the bredth a lofte. <lb/> |
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2333 The lower starre standing in the rising line <emph style="st">[???]</emph> is <lb/> |
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2334 represented by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>v</mi></mstyle></math>, so that <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>v</mi></mstyle></math> is æquall to ** <emph style="super">in the plot by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>s</mi></mstyle></math></emph>. |
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2335 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>v</mi><mi>φ</mi></mstyle></math> is æquall to <lb/> |
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2336 the rest of that line in the same playne to the line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>G</mi></mstyle></math>. <lb/> |
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2337 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>v</mi><mi>a</mi></mstyle></math> is æquall to the narrowing alow taken in the parallell that passeth <lb/> |
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2338 by the lower starre. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>β</mi></mstyle></math> is æquall to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>β</mi></mstyle></math> of the midship <lb/> |
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2339 bend. here <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>β</mi></mstyle></math> are over gon <emph style="st">of</emph> one the other (on contrary <lb/> |
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2340 sides) so that there is no floore. |
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2341 </s> |
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2342 </p> |
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2343 <p> |
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2344 <s xml:id="echoid-s249" xml:space="preserve"> |
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2345 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>β</mi></mstyle></math>* & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math>* sheweing the soothmarkes are æquall (as in all the bends) <lb/> |
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2346 to those of the midship mould. <lb/> |
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2347 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>β</mi></mstyle></math> being known, the centers <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>μ</mi></mstyle></math>, are knowne & all the rest <lb/> |
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2348 as in the 16<emph style="super">th</emph> bend, & so the descriptions of the arkes. |
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2349 </s> |
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2350 </p> |
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2351 <p> |
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2352 <s xml:id="echoid-s250" xml:space="preserve"> |
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2353 Then understand the forke here described to be away (for it <emph style="st">is to</emph> <lb/> |
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2354 shold not have ben don) & <emph style="st">the [???]</emph> the mouldes cutting one an <lb/> |
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2355 other of <emph style="st">geveth the the whole fashioin</emph> <emph style="super">a little above <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>v</mi></mstyle></math></emph> |
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2356 leaveth the rest for the fashion <lb/> |
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2357 peece. |
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2358 </s> |
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2359 </p> |
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2360 <pb file="0084.jpg" o="42v" n="84"/> |
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2361 <pb file="0085.jpg" o="43r" n="85"/> |
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2362 <head xml:id="echoid-head31" xml:space="preserve"> |
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2363 The 16<emph style="super">th</emph> bend. abaft. |
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2364 </head> |
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2365 <p> |
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2366 <s xml:id="echoid-s251" xml:space="preserve"> |
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2367 Make the line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>φ</mi></mstyle></math> æquall to the perpendicular in the plot from the rising <lb/> |
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2368 a loft to the keel upon the 16<emph style="super"/> bend. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>φ</mi><mi>v</mi></mstyle></math> æquall to the rising alow <lb/> |
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2369 Then let <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math> be æquall to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math> in the plot. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>e</mi></mstyle></math> the narrowing aloft <lb/> |
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2370 then <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math> is the <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> bredth of this bend. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>v</mi></mstyle></math> the depth of this bend. <lb/> |
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2371 make <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>v</mi><mi>a</mi></mstyle></math> æqualal to the narrowing below of this bend in the plott <lb/> |
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2372 let <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>β</mi></mstyle></math> be æquall to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> amp; <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>β</mi></mstyle></math> of the midship bend. <lb/> |
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2373 then <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>β</mi></mstyle></math> is the floore of this bend. <lb/> |
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2374 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>β</mi></mstyle></math>* & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math>* shewing the sooth markes are æquall always in every bend <lb/> |
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2375 to those of the midship mould. <lb/> |
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2376 from the sooth marke to <emph style="st">to</emph> <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>v</mi></mstyle></math> <emph style="super">is æquall</emph> |
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2377 tp the halfe breadth below. (found in the plott.) |
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2378 </s> |
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2379 </p> |
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2380 <p> |
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2381 <s xml:id="echoid-s252" xml:space="preserve"> |
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2382 Then for the centers thus: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>β</mi><mi>μ</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>m</mi></mstyle></math>: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>c</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>d</mi></mstyle></math>: <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>n</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>r</mi></mstyle></math>: ar æquall to <lb/> |
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2383 the same sweepes in the midship bend. likewise, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>n</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>m</mi></mstyle></math>: |
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2384 æquall <emph style="st">th</emph> to <emph style="st">the</emph> <lb/> |
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2385 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>n</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>m</mi></mstyle></math> in the sayd midship bend. <lb/> |
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2386 So that hereby mechanically are described the arkes <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>d</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>c</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>b</mi></mstyle></math>; & there <lb/> |
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2387 correspondents. |
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2388 </s> |
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2389 </p> |
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2390 <p> |
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2391 <s xml:id="echoid-s253" xml:space="preserve"> |
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2392 Then at <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>φ</mi></mstyle></math>, downwards is to be allowed 2 inches in small shippes (of 100<emph style="super">t</emph>) <lb/> |
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2393 & 3 ynches (of 800<emph style="super">t</emph>) <lb/> |
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2394 for dead rising for the timber hole; where <emph style="super">the timber</emph> must be so broad as the keel <lb/> |
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2395 & this is to be allowed in the midship bend and all the rest <lb/> |
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2396 then from the upper edge of the keele which is all one with the bottome of the <lb/> |
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2397 dead rising, <emph style="st">must be an</emph> upward toward the sooth marke, they use the backe <lb/> |
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2398 side of one of the mouldes for a shallowing mould. |
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2399 </s> |
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2400 </p> |
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2401 <pb file="0086.jpg" o="43v" n="86"/> |
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2402 <pb file="0087.jpg" o="44r" n="87"/> |
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2403 <head xml:id="echoid-head32" xml:space="preserve"> |
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2404 Notes. or observations. <lb/> |
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2405 of the midship bend. <lb/> |
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2406 or, the mould. |
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2407 </head> |
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2408 <p> |
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2409 <s xml:id="echoid-s254" xml:space="preserve"> |
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2410 As. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math>, 120. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>m</mi></mstyle></math>, is between 60 & 70. <lb/> |
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2411 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi><mi>e</mi></mstyle></math>, not more than halfe <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math>. <lb/> |
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2412 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi><mi>e</mi></mstyle></math>, must be shorter then the depth of the fashion peece <lb/> |
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2413 represented by ** alofte at the fashion peece in the plotte. <lb/> |
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2414 In a ship of 20 foote brode (100, tonne) the water marke <lb/> |
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2415 is counted, 1 foote under; in 40 fo: brode. (800 tonne) 2, foote. |
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2416 </s> |
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2417 </p> |
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2418 <p> |
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2419 <s xml:id="echoid-s255" xml:space="preserve"> |
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2420 In making of the mould from the flat floore is specialaly to be <lb/> |
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2421 considered the hanging of of the side from <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi></mstyle></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi></mstyle></math>, or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi></mstyle></math>. for which <lb/> |
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2422 they have no certayne rule but judgement by the ey. these thinges <lb/> |
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2423 being considered; the holding of goods, the sayling, & bearing. <lb/> |
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2424 The greater the breadth is at the wrong heads the more they <lb/> |
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2425 carry, in weyght, but nindreth there going. <lb/> |
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2426 if <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>d</mi></mstyle></math> be to round shee is subiect to rouling. &c. |
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2427 </s> |
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2428 </p> |
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2429 <p> |
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2430 <s xml:id="echoid-s256" xml:space="preserve"> |
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2431 <emph style="st">[???]</emph> <emph style="it">Let</emph> |
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2432 the line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>m</mi></mstyle></math> extended be double to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>k</mi></mstyle></math> let that be <emph style="st">any</emph> a <lb/> |
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2433 semidiameter. <emph style="st">from <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi></mstyle></math> a perpendicle to that line let be the after</emph> <lb/> |
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2434 of an elipe which must come by <emph style="st"><math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math> (or</emph> <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi></mstyle></math>) then seke out the poynt <lb/> |
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2435 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi></mstyle></math> to make <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>c</mi></mstyle></math> an arke to go fayne upon the elipsis. then by assay <lb/> |
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2436 seek the center <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi></mstyle></math> to make an arke to touch the arke <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>c</mi></mstyle></math> & come by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi></mstyle></math>. <lb/> |
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2437 then in the line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>k</mi></mstyle></math>, take <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi><mi>e</mi></mstyle></math> <emph style="st">lesse then</emph> half or lesse then <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math> of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math> <lb/> |
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2438 but see that in the successe it also be shorter then the depth of <emph style="super"><math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi></mstyle></math></emph> fashion <lb/> |
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2439 peece as above. for marchants ships let the |
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2440 <emph style="st">sayd</emph> <emph style="super">same</emph> diameter of <lb/> |
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2441 the sayd elipsis be a quarter lesse or there abouts, becasue <lb/> |
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2442 the lesse the <emph style="super">semi</emph>diameter is, the fuller she is be low at the wrong heds. |
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2443 </s> |
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2444 </p> |
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2445 <p> |
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2446 <s xml:id="echoid-s257" xml:space="preserve"> |
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2447 An other way. Suppose a perpendicular line form <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi></mstyle></math> to the keel <lb/> |
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2448 then devide from (<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>) to the perpendicular in |
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2449 <emph style="super">to any nomber of</emph> æquall partes (as 10) <lb/> |
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2450 then say as the biquadrate of 10, has to, 9. So hath the partes of the <lb/> |
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2451 perpendicular to the <emph style="st">the</emph> 9<emph style="super">th</emph>s in the same parte <lb/> |
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2452 & so of the rest, to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>. <lb/> |
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2453 & so have you a <emph style="st">line</emph> croked line nere like <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi></mstyle></math>, by which you <lb/> |
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2454 are by assay to find out the counters <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi></mstyle></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi></mstyle></math>, as before. And these <lb/> |
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2455 two wayes M<emph style="super">r</emph> Marlow useth for to consider of his mould in <lb/> |
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2456 intention which M<emph style="super">r</emph> Baker approveth. |
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2457 </s> |
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2458 </p> |
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2459 <p> |
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2460 <s xml:id="echoid-s258" xml:space="preserve"> |
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2461 This mould being described, the mould of every other bend is <lb/> |
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2462 described by the same sweepes, as <emph style="st">as</emph> followeth for example <lb/> |
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2463 of the 16<emph style="super">th</emph> bend abaft |
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2464 </s> |
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2465 </p> |
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2466 <pb file="0088.jpg" o="44v" n="88"/> |
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2467 <pb file="0089.jpg" o="45r" n="89"/> |
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2468 <head xml:id="echoid-head33" xml:space="preserve"> |
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2469 The Narrowings below are they made: |
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2470 </head> |
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2471 <p> |
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2472 <s xml:id="echoid-s259" xml:space="preserve"> |
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2473 from <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>R</mi></mstyle></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>L</mi></mstyle></math> abafte, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>L</mi></mstyle></math> may be over <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>S</mi></mstyle></math>, but if it be a little shorter <lb/> |
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2474 it is never the worse but better. therefore let end at the next <lb/> |
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2475 bend to it, which in the plot is 22. the greatest narrowing is <lb/> |
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2476 therefore here <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>I</mi><mi>L</mi><mo>=</mo><mi>P</mi><mi>R</mi></mstyle></math>, <emph style="super">amp;</emph> the other bends are narrowed <lb/> |
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2477 cubically as before is sayde. |
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2478 </s> |
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2479 </p> |
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2480 <p> |
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2481 <s xml:id="echoid-s260" xml:space="preserve"> |
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2482 Then forward the narrowing line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>R</mi><mi>Z</mi></mstyle></math>, ending on the bend <lb/> |
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2483 next to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>y</mi></mstyle></math> inward; (but may be agaynst <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>y</mi></mstyle></math> <emph style="st">but</emph> not beyond) <lb/> |
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2484 is mde cubically likewise, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>I</mi><mi>Z</mi><mo>-</mo><mi>R</mi><mi>P</mi></mstyle></math> being the greatest. |
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2485 </s> |
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2486 </p> |
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2487 <pb file="0090.jpg" o="45v" n="90"/> |
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2488 <pb file="0091.jpg" o="46r" n="91"/> |
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2489 <p> |
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2490 <s xml:id="echoid-s261" xml:space="preserve"> |
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2491 Of the playne of lenght & bredth. parallel to the horizon <lb/> |
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2492 halfe signified by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>M</mi><mi>N</mi><mi>O</mi><mi>q</mi></mstyle></math>. The line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>M</mi></mstyle></math> is understode to be the <lb/> |
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2493 length <emph style="st">with</emph> & all one with <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>A</mi><mi>D</mi></mstyle></math>. |
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2494 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi></mstyle></math> ioyning to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>K</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi></mstyle></math>. So that <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi><mi>Q</mi></mstyle></math> <lb/> |
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2495 is æquall <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>K</mi><mi>e</mi></mstyle></math>. the halfe breadth. |
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2496 </s> |
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2497 </p> |
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2498 <p> |
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2499 <s xml:id="echoid-s262" xml:space="preserve"> |
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2500 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi><mi>R</mi></mstyle></math> is half <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi><mi>Q</mi></mstyle></math> which is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mstyle></math> of the whole breadth, by which it made the <lb/> |
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2501 sooth markes represented by **, in the line of the floore timber; so that <lb/> |
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2502 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>S</mi></mstyle></math>* is æquall to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi><mi>R</mi></mstyle></math>. |
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2503 </s> |
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2504 </p> |
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2505 <p> |
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2506 <s xml:id="echoid-s263" xml:space="preserve"> |
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2507 An other playne whose half is signified by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>M</mi><mi>T</mi><mi>R</mi><mi>V</mi><mi>q</mi></mstyle></math>. & parallel to the <lb/> |
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2508 other & under it as much as <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>K</mi><mi>S</mi></mstyle></math>, which <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>S</mi></mstyle></math> is in the line of the sooth markes <lb/> |
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2509 of this playne <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi></mstyle></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>S</mi></mstyle></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>R</mi></mstyle></math> is *. |
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2510 </s> |
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2511 </p> |
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2512 <p> |
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2513 <s xml:id="echoid-s264" xml:space="preserve"> |
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2514 In these two playnes are measured the narrowinges alofte & a low, upon <lb/> |
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2515 every severall bend; on the parallels. <lb/> |
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2516 The forme of the upper narrowinges represented by the crooked line <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>M</mi><mi>Q</mi><mi>V</mi></mstyle></math> <lb/> |
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2517 & is thus made: by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi><mo>.</mo><mi>M</mi></mstyle></math>. |
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2518 </s> |
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2519 </p> |
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2520 <p> |
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2521 <s xml:id="echoid-s265" xml:space="preserve"> |
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2522 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>O</mi><mi>V</mi></mstyle></math>, the greatest narrowing abafte is æquall <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi><mi>R</mi></mstyle></math>, a quarter of the which breadth <lb/> |
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2523 for the narrowing of the next bend; example 22. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>r</mi><mi>o</mi></mstyle></math>, being the 24. <lb/> |
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2524 as the cube of 24 to the cube of 22, so <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>O</mi><mi>V</mi></mstyle></math> inches is to the narrowing <lb/> |
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2525 of that 22 bend inches, & so of the rest to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math>. |
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2526 </s> |
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2527 </p> |
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2528 <p> |
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2529 <s xml:id="echoid-s266" xml:space="preserve"> |
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2530 Mr Baker way is, by describing of a <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mstyle></math> of a <lb/> |
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2531 circle. making <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>c</mi><mo>=</mo><mi>P</mi><mi>Q</mi></mstyle></math> half the breadth <lb/> |
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2532 taking <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>8</mn></mrow></mfrac><mo>=</mo><mi>b</mi><mi>c</mi></mstyle></math> away; the dividing <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math> & <lb/> |
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2533 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>e</mi></mstyle></math>, int so many bendes as are betwixt <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>O</mi></mstyle></math> <lb/> |
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2534 making <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>f</mi></mstyle></math> the greatest narrowing nere æquall to, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>O</mi><mi>V</mi></mstyle></math> <lb/> |
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2535 & so so the rest betwixt <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>e</mi></mstyle></math> & the arke; which line <lb/> |
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2536 in the playne wilbe an elipsis. <lb/> |
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2537 The <emph style="super">same</emph> narrowing line he useth also a low on the <lb/> |
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2538 under playne aftewardes on. |
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2539 </s> |
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2540 </p> |
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2541 <p> |
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2542 <s xml:id="echoid-s267" xml:space="preserve"> |
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2543 But afore, the under narroiwngs he maketh <lb/> |
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2544 to end agaynst <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>y</mi></mstyle></math>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>P</mi><mi>R</mi></mstyle></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>S</mi></mstyle></math>* being æquall to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>f</mi></mstyle></math> here in the quadrant <lb/> |
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2545 then deviding <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>e</mi></mstyle></math> into so many bendes as are betwixt <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>y</mi></mstyle></math> & <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>, the narrowinges <lb/> |
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2546 are taken as before between <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>e</mi></mstyle></math> & the arke <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>f</mi></mstyle></math>. |
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2547 </s> |
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2548 </p> |
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2549 <p> |
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2550 <s xml:id="echoid-s268" xml:space="preserve"> |
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2551 After the upper narroiwng he carrieth a part of the same elipsis as was abafte till <lb/> |
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2552 he <emph style="super">come</emph> to the luffe nere agaynst the pith of the sterne |
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2553 <emph style="super">(<math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>o</mi></mstyle></math>)</emph> and for the rest makes a circle <lb/> |
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2554 from the stern to tuch that elipse. & this he doth by iudgement. |
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2555 </s> |
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2556 </p> |
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2557 <p> |
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2558 <s xml:id="echoid-s269" xml:space="preserve"> |
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2559 From <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>M</mi></mstyle></math> foreward the narroiwng is thus made by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi><mi>M</mi></mstyle></math>: form <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> forward <lb/> |
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2560 4 bendes <emph style="super">in</emph> this plat hath no narrowing; & from there it begineth to narroweth <lb/> |
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2561 cubically as before making <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>N</mi><mi>M</mi></mstyle></math> the greatest. it may be made from <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> <lb/> |
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2562 to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>M</mi></mstyle></math> by quadrants but then he thinketh it will come to full or bluffe as they <lb/> |
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2563 call it. if all <emph style="st">all</emph> were narrowed from <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> cubically to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>M</mi></mstyle></math>, |
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2564 <emph style="st">it</emph> the line wold <lb/> |
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2565 be to lanke or narrowe at the bowe. The srayte from <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>Q</mi></mstyle></math> <emph style="super">he</emph> thinketh will <lb/> |
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2566 hold proportionally in other shippes. |
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2567 </s> |
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2568 </p> |
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2569 <pb file="0092.jpg" o="46v" n="92"/> |
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2570 <pb file="0093.jpg" o="47r" n="93"/> |
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2571 <p> |
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2572 <s xml:id="echoid-s270" xml:space="preserve"> |
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2573 The rising line a low. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>s</mi><mi>x</mi><mi>a</mi><mi>y</mi><mi>f</mi></mstyle></math>. usually made by a circle |
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2574 <emph style="super">(or bore)</emph> tuching in <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>, by <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>x</mi></mstyle></math>. <lb/> |
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2575 The heygh of the tucke <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>z</mi><mi>x</mi></mstyle></math>. 10. as <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>a</mi></mstyle></math>, 18. the greatest, <lb/> |
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2576 or. 9. as <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>a</mi></mstyle></math>, the least. <lb/> |
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2577 the measure <lb/> |
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2578 usually above <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi></mstyle></math>. <lb/> |
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2579 here <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>z</mi><mi>x</mi></mstyle></math> 48y. <lb/> |
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2580 The hygh of the grype. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi><mi>y</mi></mstyle></math>. 1. as, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>k</mi></mstyle></math> 9. comonly 12y <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>7</mn><mn>5</mn></mrow><mrow><mn>1</mn><mn>0</mn><mn>0</mn></mrow></mfrac></mstyle></math> here. |
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2581 </s> |
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2582 </p> |
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2583 <p> |
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2584 <s xml:id="echoid-s271" xml:space="preserve"> |
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2585 Otherwise by M Mar: the line of rising is made thus: <lb/> |
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2586 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>z</mi><mi>x</mi></mstyle></math> being the 20<emph style="super">th</emph> bend: as the cube of 20. to the cube of, 18, so is <lb/> |
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2587 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>z</mi><mi>x</mi></mstyle></math> in inches 48. to the rising of the 18 bend. <lb/>]& so of the rest to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>. <lb/> |
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2588 for the rysing line forward: as ateh cube of the <lb/> |
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2589 nomber of teh gype 10y which is the 10<emph style="super">th</emph> bend <lb/> |
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2590 that is, as the cube of 10, being 100 is to, <emph style="st">is to</emph> the cube of 9, or <lb/> |
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2591 11, the nomber of the next bend so & so forth as before. |
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2592 </s> |
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2593 </p> |
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2594 <p> |
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2595 <s xml:id="echoid-s272" xml:space="preserve"> |
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2596 The rising line a lofte <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>k</mi><mi>r</mi></mstyle></math>, by which the greatest breadth of every <lb/> |
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2597 perticuler bend doth passe. |
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2598 </s> |
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2599 </p> |
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2600 <p> |
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2601 <s xml:id="echoid-s273" xml:space="preserve"> |
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2602 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>B</mi><mi>A</mi></mstyle></math> is 1. as <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>x</mi><mi>z</mi></mstyle></math> is, 3 by Mr. M) comonly [???]. here 16,y. <lb/> |
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2603 The risings <emph style="st">of</emph> in the other bende towards <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>y</mi></mstyle></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi></mstyle></math> and gotten by <lb/> |
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2604 cubes as the other below. and so form the 20<emph style="super">th</emph> bend at <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>r</mi></mstyle></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi></mstyle></math> <lb/> |
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2605 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>r</mi><mi>D</mi></mstyle></math> being made <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>, all to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>B</mi></mstyle></math>. |
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2606 </s> |
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2607 </p> |
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2608 <p> |
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2609 <s xml:id="echoid-s274" xml:space="preserve"> |
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2610 In this playne of length & depth is also to be conisdered: <lb/> |
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2611 the laying of the <emph style="st">[¿]decks[?]</emph> orlope & decks. <lb/> |
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2612 the portes <lb/> |
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2613 & the laying of the wales, or the outside. |
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2614 </s> |
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2615 </p> |
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2616 <head xml:id="echoid-head34" xml:space="preserve"> |
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2617 More of this playne. |
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2618 </head> |
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2619 <p> |
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2620 <s xml:id="echoid-s275" xml:space="preserve"> |
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2621 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>w</mi><mi>D</mi><mi>F</mi></mstyle></math>. the stemme. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>H</mi><mi>K</mi></mstyle></math>. the sweep of the stem. never greater then <lb/> |
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2622 the whole body <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>e</mi></mstyle></math>, nor lesse then, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>k</mi></mstyle></math>. <lb/> |
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2623 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>w</mi><mi>E</mi></mstyle></math>. the rake of the stem. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>w</mi><mi>k</mi></mstyle></math>. the thicknesse of the keele. at <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>F</mi></mstyle></math> somewhat <lb/> |
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2624 thicker. <lb/> |
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2625 In a ship of 100<emph style="super">tons</emph> <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>w</mi><mi>k</mi></mstyle></math> is 12 ynches. the breadth 10y: keele & stem below. <lb/> |
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2626 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>u</mi><mi>s</mi><mi>q</mi></mstyle></math>. the sterne post. thickenes & breadth as <emph style="super">the</emph> keele <lb/> |
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2627 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>G</mi></mstyle></math>. the perpendiculer of the post. <lb/> |
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2628 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>u</mi><mi>G</mi></mstyle></math>. the rate of the post. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>g</mi></mstyle></math> to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>u</mi></mstyle></math> as, 12 to 13. |
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2629 </s> |
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2630 </p> |
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2631 <pb file="0094.jpg" o="47v" n="94"/> |
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2632 <pb file="0095.jpg" o="48r" n="95"/> |
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2633 <head xml:id="echoid-head35" xml:space="preserve"> |
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2634 The midship mould or midshp bende <lb/> |
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2635 the playne of breadth & depth. |
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2636 </head> |
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2637 <p> |
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2638 <s xml:id="echoid-s276" xml:space="preserve"> |
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2639 The greatest breadth must not be lesse the triple the depth. <lb/> |
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2640 nor greater then 3 times the depth. |
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2641 </s> |
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2642 </p> |
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2643 <p> |
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2644 <s xml:id="echoid-s277" xml:space="preserve"> |
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2645 of this diagram. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math>. the half breadth. 102 ynches. <lb/> |
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2646 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>a</mi></mstyle></math>. the depth. 92<emph style="super">y</emph> <lb/> |
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2647 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>b</mi></mstyle></math>. 27.y.the half floore. generally: <lb/> |
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2648 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>c</mi></mstyle></math>, the wrong. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi></mstyle></math>, the center, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>m</mi><mi>b</mi></mstyle></math>, the sweep. 60.<emph style="super">y</emph> <lb/> |
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2649 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>b</mi><mi>a</mi><mi>β</mi><mi>γ</mi></mstyle></math>. the floor timber. <lb/> |
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2650 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>b</mi><mi>c</mi></mstyle></math>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>β</mi><mi>γ</mi></mstyle></math>. the wronges. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi></mstyle></math>. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>γ</mi></mstyle></math>. the wrong heds. <lb/> |
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2651 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>d</mi></mstyle></math>. the Futtock. <emph style="super">or staddle or studdle by some of the contry.</emph> |
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2652 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi></mstyle></math>. center. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>o</mi><mi>c</mi></mstyle></math>. the sweep thereof. 156. y. <lb/> |
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2653 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>f</mi><mi>g</mi></mstyle></math>. the top timber. <lb/> |
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2654 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>f</mi></mstyle></math>. the upper sweep. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi></mstyle></math>. center. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi><mi>d</mi></mstyle></math>. 48.y. <lb/> |
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2655 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>g</mi></mstyle></math>. arke. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>p</mi></mstyle></math>. center. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>p</mi><mi>f</mi><mo>=</mo><mi>o</mi><mi>c</mi></mstyle></math>. if <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>f</mi><mi>g</mi></mstyle></math> be strayt: it is called <lb/> |
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2656 by some the poste. <lb/> |
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2657 in times past a right line [tangent to] <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>f</mi></mstyle></math>. <lb/> |
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2658 as, <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>k</mi><mi>e</mi></mstyle></math>. 3. so <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>h</mi><mi>g</mi></mstyle></math>. 2. usually. here 74.y. |
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2659 </s> |
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2660 </p> |
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2661 <head xml:id="echoid-head36" xml:space="preserve"> |
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2662 The playne of lengthe & depthe <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>q</mi><mi>r</mi><mi>u</mi><mi>n</mi></mstyle></math>. |
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2663 </head> |
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2664 <p> |
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2665 <s xml:id="echoid-s278" xml:space="preserve"> |
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2666 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>u</mi><mi>n</mi></mstyle></math>, the keele: unto <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>e</mi><mi>e</mi></mstyle></math> the breadth not above 3, to, 1. nor lesse then <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>2</mn></mrow><mrow><mn>1</mn></mrow></mfrac></mstyle></math> <lb/> |
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2667 comonly. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>5</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math>. <lb/> |
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2668 <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi><mi>a</mi></mstyle></math>, to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>u</mi><mi>n</mi></mstyle></math>. generally. as. 2, to. 1. |
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2669 </s> |
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2670 </p> |
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2671 <p> |
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2672 <s xml:id="echoid-s279" xml:space="preserve"> |
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2673 The floor timber <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>c</mi><mi>b</mi><mi>a</mi><mi>β</mi><mi>y</mi></mstyle></math> being at rectangles with the keele <lb/> |
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2674 must have breadth & thickenes as followeth. |
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2675 </s> |
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2676 </p> |
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2677 <p> |
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2678 <s xml:id="echoid-s280" xml:space="preserve"> |
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2679 In a ship of 20 foote brode: the thickenes in & out, 7 yardes. <lb/> |
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2680 the breadth, 8 inches. in 38 foot brode of kings ships. in & out. 12,y. <lb/> |
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2681 14 & 15 y broade. |
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2682 </s> |
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2683 </p> |
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2684 <p> |
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2685 <s xml:id="echoid-s281" xml:space="preserve"> |
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2686 The middest of the first bend standes on <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi></mstyle></math>. |
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2687 </s> |
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2688 </p> |
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2689 <p> |
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2690 <s xml:id="echoid-s282" xml:space="preserve"> |
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2691 The second bendes flore timber must stand so farre of that the futtocke <lb/> |
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2692 may come betweene with some advantage which is called timber <lb/> |
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2693 & space. where the flore tymbers are 8<emph style="super">y</emph> inch brode, tymber & space is <lb/> |
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2694 used to be 18y. that is, 8y for timber & so 10 ynches for space. <lb/> |
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2695 & by such distances you must marke fore & afte as farre as they <lb/> |
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2696 will go in <emph style="st">bre</emph> the playne of breadth & length. |
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2697 </s> |
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2698 </p> |
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2699 <p> |
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2700 <s xml:id="echoid-s283" xml:space="preserve"> |
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2701 In this plot the lines represent every second bend. & of 30<emph style="super">y</emph> distance. |
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2702 </s> |
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2703 </p> |
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2704 <pb file="0096.jpg" o="48v" n="96"/> |
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2705 <pb file="0097.jpg" o="49r" n="97"/> |
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2706 <pb file="0098.jpg" o="49v" n="98"/> |
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2707 <pb file="0099.jpg" o="50r" n="99"/> |
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2708 <div xml:id="echoid-div4" type="page_commentary" level="2" n="4"> |
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2709 <p> |
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2710 <s xml:id="echoid-s284" xml:space="preserve">[<emph style="it">Note: |
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2711 <p> |
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2712 <s xml:id="echoid-s284" xml:space="preserve"> |
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2713 The word at the top of the page is from the Latin translation (apparently by Martin Crucius) of a Greek verse |
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2714 (perhaps also by Crucius) consisting of compound words. See also Add MS 6782, f. 147. <lb/> |
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2715 The remainder of the page contains an arrangement of 100 soldiers |
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2716 in such a way that those of the highest rank are best protected. |
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2717 (These ideas are continued on the reverse of the page.) |
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2718 </s> |
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2719 </p> |
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2720 </emph>] |
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2721 <lb/><lb/></s></p></div> |
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2722 <p> |
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2723 <s xml:id="echoid-s286" xml:space="preserve"> |
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2724 of the precedence of soldiers |
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2725 </s> |
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2726 </p> |
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2727 <p xml:lang="lat"> |
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2728 <s xml:id="echoid-s287" xml:space="preserve"> |
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|
2729 of the precedence of soldiers |
|
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|
2730 Bombardagladiofunhastiflammiloquentes |
|
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2731 <lb/>[<emph style="it">tr: |
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|
2732 Breathing bombs, swords, death, spears, and flames |
|
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|
2733 </emph>]<lb/> |
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2734 </s> |
|
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|
2735 </p> |
|
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2736 <pb file="0100.jpg" o="50v" n="100"/> |
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|
2737 <div xml:id="echoid-div5" type="page_commentary" level="2" n="5"> |
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|
2738 <p> |
|
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|
2739 <s xml:id="echoid-s288" xml:space="preserve">[<emph style="it">Note: |
|
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|
2740 <p> |
|
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2741 <s xml:id="echoid-s288" xml:space="preserve"> |
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|
2742 Rough working connected to the ideas on the previous page, |
|
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|
2743 the problem being to arrange men in a square in such a way that the highest ranks are the best protected. |
|
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|
2744 </s> |
|
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|
2745 </p> |
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|
2746 </emph>] |
|
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|
2747 <lb/><lb/></s></p></div> |
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2748 <pb file="0101.jpg" o="51r" n="101"/> |
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|
2749 <pb file="0102.jpg" o="51v" n="102"/> |
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2750 <pb file="0103.jpg" o="52r" n="103"/> |
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|
2751 <pb file="0104.jpg" o="52v" n="104"/> |
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2752 <pb file="0105.jpg" o="53r" n="105"/> |
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|
2753 <pb file="0106.jpg" o="53v" n="106"/> |
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|
2754 <pb file="0107.jpg" o="54r" n="107"/> |
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|
2755 <pb file="0108.jpg" o="54v" n="108"/> |
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|
2756 <pb file="0109.jpg" o="55r" n="109"/> |
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|
2757 <head xml:id="echoid-head37" xml:space="preserve" xml:lang="lat"> |
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|
2758 Anno. 1603. lib. editis <lb/> |
|
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|
2759 pag. 302. Johnnes Baptista Villalpandus cordubensis <lb/> |
|
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|
2760 et Societate Jesu. In tractatu de ponderibus & mensuris <lb/> |
|
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|
2761 lib. 1 cap. 5. pro. 16 <lb/> |
|
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|
2762 pag. 302. |
|
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|
2763 </head> |
|
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|
2764 <pb file="0110.jpg" o="55v" n="110"/> |
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|
2765 <pb file="0111.jpg" o="56r" n="111"/> |
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|
2766 <pb file="0112.jpg" o="56v" n="112"/> |
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|
2767 <pb file="0113.jpg" o="57r" n="113"/> |
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|
2768 <pb file="0114.jpg" o="57v" n="114"/> |
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|
2769 <pb file="0115.jpg" o="58r" n="115"/> |
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|
2770 <pb file="0116.jpg" o="58v" n="116"/> |
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|
2771 <pb file="0117.jpg" o="59r" n="117"/> |
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|
2772 <pb file="0118.jpg" o="59v" n="118"/> |
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|
2773 <pb file="0119.jpg" o="60r" n="119"/> |
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|
2774 <pb file="0120.jpg" o="60v" n="120"/> |
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|
2775 <pb file="0121.jpg" o="61r" n="121"/> |
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|
2776 <pb file="0122.jpg" o="61v" n="122"/> |
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|
2777 <pb file="0123.jpg" o="62r" n="123"/> |
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|
2778 <pb file="0124.jpg" o="62v" n="124"/> |
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|
2779 <pb file="0125.jpg" o="63r" n="125"/> |
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|
2780 <pb file="0126.jpg" o="63v" n="126"/> |
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|
2781 <pb file="0127.jpg" o="64r" n="127"/> |
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|
2782 <pb file="0128.jpg" o="64v" n="128"/> |
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|
2783 <pb file="0129.jpg" o="65r" n="129"/> |
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2784 <pb file="0130.jpg" o="65v" n="130"/> |
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|
2785 <pb file="0131.jpg" o="66r" n="131"/> |
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2786 <pb file="0132.jpg" o="66v" n="132"/> |
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|
2787 <pb file="0133.jpg" o="67r" n="133"/> |
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|
2788 <pb file="0134.jpg" o="67v" n="134"/> |
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|
2789 <pb file="0135.jpg" o="68r" n="135"/> |
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|
2790 <pb file="0136.jpg" o="68v" n="136"/> |
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|
2791 <pb file="0137.jpg" o="69r" n="137"/> |
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|
2792 <pb file="0138.jpg" o="69v" n="138"/> |
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2793 <pb file="0139.jpg" o="70r" n="139"/> |
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|
2794 <pb file="0140.jpg" o="70v" n="140"/> |
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2795 <pb file="0141.jpg" o="71r" n="141"/> |
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|
2796 <pb file="0142.jpg" o="71v" n="142"/> |
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|
2797 <pb file="0143.jpg" o="72r" n="143"/> |
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|
2798 <pb file="0144.jpg" o="72v" n="144"/> |
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2799 <pb file="0145.jpg" o="73r" n="145"/> |
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|
2800 <pb file="0146.jpg" o="73v" n="146"/> |
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2801 <pb file="0147.jpg" o="74r" n="147"/> |
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2802 <pb file="0148.jpg" o="74v" n="148"/> |
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2803 <pb file="0149.jpg" o="75r" n="149"/> |
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2804 <pb file="0150.jpg" o="75v" n="150"/> |
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2805 <pb file="0151.jpg" o="76r" n="151"/> |
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2806 <pb file="0152.jpg" o="76v" n="152"/> |
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2807 <pb file="0153.jpg" o="77r" n="153"/> |
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2808 <pb file="0154.jpg" o="77v" n="154"/> |
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2809 <pb file="0155.jpg" o="78r" n="155"/> |
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2811 <pb file="0157.jpg" o="79r" n="157"/> |
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2812 <pb file="0158.jpg" o="79v" n="158"/> |
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22d6a63640c6
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2813 <pb file="0159.jpg" o="80r" n="159"/> |
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|
2814 <pb file="0160.jpg" o="80v" n="160"/> |
|
22d6a63640c6
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|
2815 <pb file="0161.jpg" o="81r" n="161"/> |
|
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|
2816 <pb file="0162.jpg" o="81v" n="162"/> |
|
22d6a63640c6
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|
2817 <pb file="0163.jpg" o="82r" n="163"/> |
|
22d6a63640c6
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|
2818 <pb file="0164.jpg" o="82v" n="164"/> |
|
22d6a63640c6
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|
2819 <pb file="0165.jpg" o="83r" n="165"/> |
|
22d6a63640c6
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|
2820 <pb file="0166.jpg" o="83v" n="166"/> |
|
22d6a63640c6
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|
2821 <pb file="0167.jpg" o="84r" n="167"/> |
|
22d6a63640c6
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|
2822 <pb file="0168.jpg" o="84v" n="168"/> |
|
22d6a63640c6
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|
2823 <pb file="0169.jpg" o="85r" n="169"/> |
|
22d6a63640c6
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|
2824 <pb file="0170.jpg" o="85v" n="170"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2825 <pb file="0171.jpg" o="86r" n="171"/> |
|
22d6a63640c6
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|
2826 <pb file="0172.jpg" o="86v" n="172"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2827 <pb file="0173.jpg" o="87r" n="173"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2828 <pb file="0174.jpg" o="87v" n="174"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2829 <pb file="0175.jpg" o="88r" n="175"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2830 <pb file="0176.jpg" o="88v" n="176"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2831 <pb file="0177.jpg" o="89r" n="177"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2832 <pb file="0178.jpg" o="89v" n="178"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2833 <pb file="0179.jpg" o="90r" n="179"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2834 <pb file="0180.jpg" o="90v" n="180"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2835 <pb file="0181.jpg" o="91r" n="181"/> |
|
22d6a63640c6
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|
2836 <pb file="0182.jpg" o="91v" n="182"/> |
|
22d6a63640c6
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|
2837 <pb file="0183.jpg" o="92r" n="183"/> |
|
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|
2838 <pb file="0184.jpg" o="92v" n="184"/> |
|
22d6a63640c6
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|
2839 <pb file="0185.jpg" o="93r" n="185"/> |
|
22d6a63640c6
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|
2840 <pb file="0186.jpg" o="93v" n="186"/> |
|
22d6a63640c6
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|
2841 <pb file="0187.jpg" o="94r" n="187"/> |
|
22d6a63640c6
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|
2842 <pb file="0188.jpg" o="94v" n="188"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2843 <pb file="0189.jpg" o="95r" n="189"/> |
|
22d6a63640c6
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|
2844 <pb file="0190.jpg" o="95v" n="190"/> |
|
22d6a63640c6
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|
2845 <pb file="0191.jpg" o="96r" n="191"/> |
|
22d6a63640c6
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|
2846 <pb file="0192.jpg" o="96v" n="192"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2847 <pb file="0193.jpg" o="97r" n="193"/> |
|
22d6a63640c6
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|
2848 <pb file="0194.jpg" o="97v" n="194"/> |
|
22d6a63640c6
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|
2849 <pb file="0195.jpg" o="98r" n="195"/> |
|
22d6a63640c6
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|
2850 <pb file="0196.jpg" o="98v" n="196"/> |
|
22d6a63640c6
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|
2851 <pb file="0197.jpg" o="99r" n="197"/> |
|
22d6a63640c6
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|
2852 <pb file="0198.jpg" o="99v" n="198"/> |
|
22d6a63640c6
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|
2853 <pb file="0199.jpg" o="100r" n="199"/> |
|
22d6a63640c6
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|
2854 <pb file="0200.jpg" o="100v" n="200"/> |
|
22d6a63640c6
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|
2855 <pb file="0201.jpg" o="101r" n="201"/> |
|
22d6a63640c6
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|
2856 <pb file="0202.jpg" o="101v" n="202"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2857 <pb file="0203.jpg" o="102r" n="203"/> |
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22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2858 <pb file="0204.jpg" o="102v" n="204"/> |
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22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2859 <pb file="0205.jpg" o="103r" n="205"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2860 <pb file="0206.jpg" o="103v" n="206"/> |
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22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2861 <pb file="0207.jpg" o="104r" n="207"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2862 <pb file="0208.jpg" o="104v" n="208"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2863 <pb file="0209.jpg" o="105r" n="209"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2864 <pb file="0210.jpg" o="105v" n="210"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2865 <pb file="0211.jpg" o="106r" n="211"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2866 <pb file="0212.jpg" o="106v" n="212"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2867 <pb file="0213.jpg" o="107r" n="213"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2868 <pb file="0214.jpg" o="107v" n="214"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2869 <pb file="0215.jpg" o="108r" n="215"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2870 <pb file="0216.jpg" o="108v" n="216"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2871 <pb file="0217.jpg" o="109r" n="217"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2872 <pb file="0218.jpg" o="109v" n="218"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2873 <pb file="0219.jpg" o="110r" n="219"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2874 <pb file="0220.jpg" o="110v" n="220"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2875 <pb file="0221.jpg" o="111r" n="221"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2876 <pb file="0222.jpg" o="111v" n="222"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2877 <pb file="0223.jpg" o="112r" n="223"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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changeset
|
2878 <pb file="0224.jpg" o="112v" n="224"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2879 <pb file="0225.jpg" o="113r" n="225"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2880 <pb file="0226.jpg" o="113v" n="226"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2881 <pb file="0227.jpg" o="114r" n="227"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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|
2882 <pb file="0228.jpg" o="114v" n="228"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2883 <pb file="0229.jpg" o="115r" n="229"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2884 <pb file="0230.jpg" o="115v" n="230"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2885 <pb file="0231.jpg" o="116r" n="231"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2886 <pb file="0232.jpg" o="116v" n="232"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
2887 <pb file="0233.jpg" o="117r" n="233"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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changeset
|
2888 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
2889 <s xml:id="echoid-s290" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
2890 To my very good frende <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
2891 Mr. Thomas Hariots <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
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changeset
|
2892 at Durham house <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
2893 these |
|
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2894 </s> |
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2895 </p> |
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2896 <pb file="0234.jpg" o="117v" n="234"/> |
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2897 <div xml:id="echoid-div6" type="page_commentary" level="2" n="6"> |
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2898 <p> |
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2899 <s xml:id="echoid-s291" xml:space="preserve">[<emph style="it">Note: |
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2900 <p> |
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2901 <s xml:id="echoid-s291" xml:space="preserve"> |
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2902 This important letter to Harriot from Nathaniel Torporley foretells Torporley's first meeting with |
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2903 François Viète, the 'French Apollon'. Unfortunately, although the letter is marked '16 Sept', no year is given. |
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2904 However, it must have been written before Viète's death in 1603. For further arguments about the dating, see below. |
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2905 </s> |
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2906 </p> |
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2907 <p> |
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2908 <s xml:id="echoid-s292" xml:space="preserve"> |
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2909 Later accounts of Torporley described him as 'amanusenis' or perhaps secretary to Viète. |
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2910 It seems, therefore, that, as suggested by this letter, Torporley did indeed stay for a few weeks or months in Paris, |
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2911 during which time he was in regular contact with Viète, perhaps copying or transcribing his mansucripts. |
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2912 This would explain the presence of a sheet in Harriot's mansucripts marked 'A problem of Viète from Torporley'. |
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2913 More importantly, it would explain Harriot's access to all the works of Viète, |
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2914 of which only a few copies were printed and which were not easily available even in France. |
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2915 </s> |
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2916 </p> |
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2917 <p> |
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2918 <s xml:id="echoid-s293" xml:space="preserve"> |
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2919 Harriot began working his way systematically through Viète's <emph style="it">Zeteticorum libri quinque</emph> |
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2920 on 29 August 1600 (see Add MS 6782, f. 481). |
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2921 This suggests either that Torporley had already returend to England by then, bringing with him copies of Viète's books, |
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2922 or that he had them sent to Harriot from Paris. |
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2923 The letter on this page, dated 16 September, must therefore have been written earlier, perhaps the previous year, 1599. |
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2924 Torporley's description of Viète as the French Apollon presumably derives from the latter's |
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2925 <emph style="it">Apollonius Gallus</emph>, published in Paris in 1600, but perhaps a copy of it, |
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2926 or at least its title, was already known to Torporley some months beforehand. |
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2927 It is difficult otherwise to reconcile the September date of Torporley's letter with the August date of Harriot's ntoes. |
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2928 </s> |
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2929 </p> |
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2930 </emph>] |
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2931 <lb/><lb/></s></p></div> |
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2932 <p> |
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2933 <s xml:id="echoid-s295" xml:space="preserve"> |
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2934 Good Mr. Hariots, beinge certayne how welcome to you newes of [my] <lb/> |
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2935 discoveries wilbe; I sende you these briefe commendations from the new <lb/> |
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2936 founde Tropike of Paris. For such, by my farre travaile I fynde <lb/> |
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2937 the greatest obliquitie of my variable Zodiake; which, by the Tables <lb/> |
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2938 of equall motion, ought ot have extended to the clyme Diako[???] <lb/> |
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2939 And thus I geve yo to understande (in some voluntarie obscuritie, and <lb/> |
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2940 shaminge in playne termes to come in what <foreign xml:lang="lat">non putaram</foreign>) the summe <lb/> |
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2941 of my fortunes synce my departure from London. You may [???] <lb/> |
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2942 in what continuall motion I have bene, that have sene Grave, [???] <lb/> |
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2943 Calais, Amiens, & and am now at Paris retrograde, & <foreign xml:lang="lat">cursu vacuus</foreign>. <lb/> |
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2944 And even my stile (me thinkes) discovers my exchaunge agayne of <lb/> |
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2945 Mars for the muses; the rather now, because I am gathering up <lb/> |
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2946 my ruined wittes, the better to encounter that French Apollon: <lb/> |
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2947 if it fortune that either his courtsie or my bouldness effecte our <lb/> |
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2948 conference; tomorrow beinge the daye, when if I am appoynted [by] <lb/> |
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2949 his Printer, as little Zacheus to climbe the tree, to gayne <lb/> |
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2950 a viewe of that renouwned Analist. What after followes [???] <lb/> |
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2951 presence I hope shortly to relate, yet resolved to consume some <lb/> |
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2952 weekes heare, so longe it maye be tyll I maye heare agayne <lb/> |
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2953 out of Englande, I have for you, if not out of season, Sim: S[???] [???] |
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2954 his owne plotte of the laste siege of Grave, which, because I thinke <lb/> |
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2955 maye be common ynough with you ere now, I therefore make <lb/> |
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2956 no earnest haste to sende it, but will wait some beafore being <lb/> |
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2957 meane while commending you to your deserved good fortunes, & my [???] <lb/> |
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2958 in all due respectes to your continued goodwill, I take my laeve as <lb/> |
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2959 Yours ever in true fidelitie <lb/> |
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2960 Nath. Torporley <lb/> |
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2961 16 Sept: <lb/> |
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2962 English |
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2963 </s> |
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2964 </p> |
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2965 <pb file="0235.jpg" o="118r" n="235"/> |
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2966 <pb file="0236.jpg" o="118v" n="236"/> |
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2967 <pb file="0237.jpg" o="119r" n="237"/> |
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2968 <pb file="0238.jpg" o="119v" n="238"/> |
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2969 <pb file="0239.jpg" o="120r" n="239"/> |
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2970 <pb file="0240.jpg" o="120v" n="240"/> |
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2971 <pb file="0241.jpg" o="121r" n="241"/> |
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2972 <pb file="0242.jpg" o="121v" n="242"/> |
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2973 <pb file="0243.jpg" o="122r" n="243"/> |
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2974 <pb file="0244.jpg" o="122v" n="244"/> |
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2975 <pb file="0245.jpg" o="123r" n="245"/> |
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|
2976 <pb file="0246.jpg" o="123v" n="246"/> |
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|
2993 <p> |
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2994 <s xml:id="echoid-s296" xml:space="preserve"> |
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|
2995 The truth when it is seen <lb/> |
|
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|
2996 is knowne without other evidence. |
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|
2997 </s> |
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2998 </p> |
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3024 <pb file="0288.jpg" o="144v" n="288"/> |
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3028 <pb file="0292.jpg" o="146v" n="292"/> |
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3030 <pb file="0294.jpg" o="147v" n="294"/> |
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3032 <pb file="0296.jpg" o="148v" n="296"/> |
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3033 <pb file="0297.jpg" o="149r" n="297"/> |
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3034 <pb file="0298.jpg" o="149v" n="298"/> |
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3035 <pb file="0299.jpg" o="150r" n="299"/> |
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3036 <pb file="0300.jpg" o="150v" n="300"/> |
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3037 <pb file="0301.jpg" o="151r" n="301"/> |
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3038 <pb file="0302.jpg" o="151v" n="302"/> |
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3039 <pb file="0303.jpg" o="152r" n="303"/> |
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3040 <pb file="0304.jpg" o="152v" n="304"/> |
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3041 <pb file="0305.jpg" o="153r" n="305"/> |
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3042 <pb file="0306.jpg" o="153v" n="306"/> |
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3043 <pb file="0307.jpg" o="154r" n="307"/> |
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3044 <pb file="0308.jpg" o="154v" n="308"/> |
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3045 <pb file="0309.jpg" o="155r" n="309"/> |
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3046 <pb file="0310.jpg" o="155v" n="310"/> |
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3047 <pb file="0311.jpg" o="156r" n="311"/> |
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3048 <pb file="0312.jpg" o="156v" n="312"/> |
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3049 <pb file="0313.jpg" o="157r" n="313"/> |
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3050 <pb file="0314.jpg" o="157v" n="314"/> |
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3051 <pb file="0315.jpg" o="158r" n="315"/> |
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3052 <pb file="0316.jpg" o="158v" n="316"/> |
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3053 <pb file="0317.jpg" o="159r" n="317"/> |
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3054 <pb file="0318.jpg" o="159v" n="318"/> |
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3055 <pb file="0319.jpg" o="160r" n="319"/> |
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3056 <pb file="0320.jpg" o="160v" n="320"/> |
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3057 <pb file="0321.jpg" o="161r" n="321"/> |
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3058 <pb file="0322.jpg" o="161v" n="322"/> |
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3059 <pb file="0323.jpg" o="162r" n="323"/> |
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3072 <pb file="0336.jpg" o="168v" n="336"/> |
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3074 <pb file="0338.jpg" o="169v" n="338"/> |
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3076 <pb file="0340.jpg" o="170v" n="340"/> |
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3078 <pb file="0342.jpg" o="171v" n="342"/> |
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3080 <pb file="0344.jpg" o="172v" n="344"/> |
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3081 <pb file="0345.jpg" o="173r" n="345"/> |
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3082 <pb file="0346.jpg" o="173v" n="346"/> |
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3083 <pb file="0347.jpg" o="174r" n="347"/> |
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3084 <pb file="0348.jpg" o="174v" n="348"/> |
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3086 <pb file="0350.jpg" o="175v" n="350"/> |
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3087 <pb file="0351.jpg" o="176r" n="351"/> |
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3088 <pb file="0352.jpg" o="176v" n="352"/> |
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3089 <pb file="0353.jpg" o="177r" n="353"/> |
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3090 <pb file="0354.jpg" o="177v" n="354"/> |
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3091 <pb file="0355.jpg" o="178r" n="355"/> |
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3092 <pb file="0356.jpg" o="178v" n="356"/> |
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3093 <pb file="0357.jpg" o="179r" n="357"/> |
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3094 <pb file="0358.jpg" o="179v" n="358"/> |
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3095 <pb file="0359.jpg" o="180r" n="359"/> |
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3096 <pb file="0360.jpg" o="180v" n="360"/> |
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3097 <pb file="0361.jpg" o="181r" n="361"/> |
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3098 <pb file="0362.jpg" o="181v" n="362"/> |
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3099 <pb file="0363.jpg" o="182r" n="363"/> |
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3100 <pb file="0364.jpg" o="182v" n="364"/> |
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3101 <pb file="0365.jpg" o="183r" n="365"/> |
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3102 <pb file="0366.jpg" o="183v" n="366"/> |
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3103 <pb file="0367.jpg" o="184r" n="367"/> |
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3104 <pb file="0368.jpg" o="184v" n="368"/> |
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3106 <pb file="0370.jpg" o="185v" n="370"/> |
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3107 <pb file="0371.jpg" o="186r" n="371"/> |
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3108 <pb file="0372.jpg" o="186v" n="372"/> |
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3109 <pb file="0373.jpg" o="187r" n="373"/> |
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3110 <pb file="0374.jpg" o="187v" n="374"/> |
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3111 <pb file="0375.jpg" o="188r" n="375"/> |
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3112 <pb file="0376.jpg" o="188v" n="376"/> |
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3113 <pb file="0377.jpg" o="189r" n="377"/> |
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3114 <pb file="0378.jpg" o="189v" n="378"/> |
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3115 <pb file="0379.jpg" o="190r" n="379"/> |
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3116 <pb file="0380.jpg" o="190v" n="380"/> |
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3117 <pb file="0381.jpg" o="191r" n="381"/> |
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3118 <pb file="0382.jpg" o="191v" n="382"/> |
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3119 <pb file="0383.jpg" o="192r" n="383"/> |
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3120 <pb file="0384.jpg" o="192v" n="384"/> |
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3121 <pb file="0385.jpg" o="193r" n="385"/> |
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3122 <pb file="0386.jpg" o="193v" n="386"/> |
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3123 <pb file="0387.jpg" o="194r" n="387"/> |
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3124 <pb file="0388.jpg" o="194v" n="388"/> |
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3125 <pb file="0389.jpg" o="195r" n="389"/> |
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3126 <div xml:id="echoid-div7" type="page_commentary" level="2" n="7"> |
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3127 <p> |
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3128 <s xml:id="echoid-s297" xml:space="preserve">[<emph style="it">Note: |
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3129 <p> |
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3130 <s xml:id="echoid-s297" xml:space="preserve"> |
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3131 The calculation shows the conversion of 86 yards 2 feet into feet. |
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3132 </s> |
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3133 </p> |
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3134 </emph>] |
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3135 <lb/><lb/></s></p></div> |
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3136 <p> |
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3137 <s xml:id="echoid-s299" xml:space="preserve"> |
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3138 Poules steeple before it was burnt was high from the <lb/> |
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3139 ground 178 yeards whereof the stonework was 86 yeards <lb/> |
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3140 and 2 foote and the tymber worke upon the stone <lb/> |
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3141 worke being covered all with leade was 91 yeards and one <lb/> |
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|
3142 foote. |
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3143 </s> |
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3144 </p> |
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3145 <p> |
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3146 <s xml:id="echoid-s300" xml:space="preserve"> |
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3147 260, foote the hiht of pebles. |
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3148 </s> |
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3149 </p> |
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3150 <pb file="0390.jpg" o="195v" n="390"/> |
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3151 <pb file="0391.jpg" o="196r" n="391"/> |
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3152 <pb file="0392.jpg" o="196v" n="392"/> |
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3153 <pb file="0393.jpg" o="197r" n="393"/> |
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3154 <pb file="0394.jpg" o="197v" n="394"/> |
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3155 <pb file="0395.jpg" o="198r" n="395"/> |
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3156 <pb file="0396.jpg" o="198v" n="396"/> |
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3157 <pb file="0397.jpg" o="199r" n="397"/> |
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3158 <pb file="0398.jpg" o="199v" n="398"/> |
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3159 <pb file="0399.jpg" o="200r" n="399"/> |
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3160 <pb file="0400.jpg" o="200v" n="400"/> |
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3161 <pb file="0401.jpg" o="201r" n="401"/> |
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3162 <pb file="0402.jpg" o="201v" n="402"/> |
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3163 <pb file="0403.jpg" o="202r" n="403"/> |
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3164 <pb file="0404.jpg" o="202v" n="404"/> |
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3165 <pb file="0405.jpg" o="203r" n="405"/> |
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3166 <pb file="0406.jpg" o="203v" n="406"/> |
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3167 <pb file="0407.jpg" o="204r" n="407"/> |
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3168 <pb file="0408.jpg" o="204v" n="408"/> |
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3169 <pb file="0409.jpg" o="205r" n="409"/> |
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3170 <pb file="0410.jpg" o="205v" n="410"/> |
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3171 <pb file="0411.jpg" o="206r" n="411"/> |
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3172 <pb file="0412.jpg" o="206v" n="412"/> |
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3173 <pb file="0413.jpg" o="207r" n="413"/> |
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3174 <pb file="0414.jpg" o="207v" n="414"/> |
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3175 <pb file="0415.jpg" o="208r" n="415"/> |
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3176 <pb file="0416.jpg" o="208v" n="416"/> |
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3177 <pb file="0417.jpg" o="209r" n="417"/> |
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3178 <pb file="0418.jpg" o="209v" n="418"/> |
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3179 <pb file="0419.jpg" o="210r" n="419"/> |
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3180 <pb file="0420.jpg" o="210v" n="420"/> |
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3181 <pb file="0421.jpg" o="211r" n="421"/> |
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3182 <pb file="0422.jpg" o="211v" n="422"/> |
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3183 <pb file="0423.jpg" o="212r" n="423"/> |
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3184 <pb file="0424.jpg" o="212v" n="424"/> |
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3185 <pb file="0425.jpg" o="213r" n="425"/> |
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3186 <pb file="0426.jpg" o="213v" n="426"/> |
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3187 <pb file="0427.jpg" o="214r" n="427"/> |
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3188 <pb file="0428.jpg" o="214v" n="428"/> |
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3189 <pb file="0429.jpg" o="215r" n="429"/> |
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3190 <pb file="0430.jpg" o="215v" n="430"/> |
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3191 <pb file="0431.jpg" o="216r" n="431"/> |
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3192 <pb file="0432.jpg" o="216v" n="432"/> |
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3193 <pb file="0433.jpg" o="217r" n="433"/> |
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3194 <pb file="0434.jpg" o="217v" n="434"/> |
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3195 <pb file="0435.jpg" o="218r" n="435"/> |
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3196 <pb file="0436.jpg" o="218v" n="436"/> |
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3197 <pb file="0437.jpg" o="219r" n="437"/> |
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3198 <pb file="0438.jpg" o="219v" n="438"/> |
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3199 <pb file="0439.jpg" o="220r" n="439"/> |
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3200 <pb file="0440.jpg" o="220v" n="440"/> |
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3201 <pb file="0441.jpg" o="221r" n="441"/> |
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3202 <pb file="0442.jpg" o="221v" n="442"/> |
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3203 <pb file="0443.jpg" o="222r" n="443"/> |
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3204 <pb file="0444.jpg" o="222v" n="444"/> |
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3205 <pb file="0445.jpg" o="223r" n="445"/> |
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3206 <pb file="0446.jpg" o="223v" n="446"/> |
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3207 <pb file="0447.jpg" o="224r" n="447"/> |
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3208 <pb file="0448.jpg" o="224v" n="448"/> |
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3209 <pb file="0449.jpg" o="225r" n="449"/> |
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3210 <pb file="0450.jpg" o="225v" n="450"/> |
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3211 <pb file="0451.jpg" o="226r" n="451"/> |
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3212 <pb file="0452.jpg" o="226v" n="452"/> |
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3213 <pb file="0453.jpg" o="227r" n="453"/> |
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3214 <pb file="0454.jpg" o="227v" n="454"/> |
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3215 <pb file="0455.jpg" o="228r" n="455"/> |
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3216 <pb file="0456.jpg" o="228v" n="456"/> |
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3217 <pb file="0457.jpg" o="229r" n="457"/> |
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3218 <div xml:id="echoid-div8" type="page_commentary" level="2" n="8"> |
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3219 <p> |
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3220 <s xml:id="echoid-s301" xml:space="preserve">[<emph style="it">Note: |
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3221 <p> |
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3222 <s xml:id="echoid-s301" xml:space="preserve"> |
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|
3223 The answer to the question posed by Harriot on this page is that François de Foix, comte de Candale, |
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|
3224 was indeed the same person as Francis Flussas Candella, commentator on Euclid's <emph style="it">Elements</emph>. |
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3225 </s> |
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|
3226 </p> |
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|
3227 </emph>] |
|
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|
3228 <lb/><lb/></s></p></div> |
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|
3229 <p> |
|
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3230 <s xml:id="echoid-s303" xml:space="preserve"> |
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|
3231 The experiments of François M. de Foix <foreign xml:lang="lat">le grand Archimede <lb/> |
|
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|
3232 de nostre aage et qui le præmier a descouvert la <lb/> |
|
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|
3233 vraye proportion des metaux en poids et en volume</foreign>. <lb/> |
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|
3234 as Bodin rendereth <emph style="super">in his</emph> discourse of [???] <lb/> |
|
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|
3235 & embasing of moneys. |
|
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|
3236 <lb/>[<emph style="it">tr: |
|
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|
3237 François M. de Foix the great Archimedes of our age |
|
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|
3238 and who was the first to discover the true proportion of metals in weight and volume. |
|
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|
3239 </emph>]<lb/> |
|
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|
3240 </s> |
|
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|
3241 </p> |
|
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|
3242 <p> |
|
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|
3243 <s xml:id="echoid-s304" xml:space="preserve"> |
|
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|
3244 Quære whether the <lb/> |
|
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|
3245 man be flussas. |
|
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|
3246 </s> |
|
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|
3247 </p> |
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|
3248 <p> |
|
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|
3249 <s xml:id="echoid-s305" xml:space="preserve"> |
|
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|
3250 ferlin, the name of the weight |
|
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|
3251 </s> |
|
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|
3252 </p> |
|
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|
3253 <p> |
|
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|
3254 <s xml:id="echoid-s306" xml:space="preserve"> |
|
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|
3255 Lazarus Erken <lb/> |
|
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|
3256 folio 60b. |
|
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|
3257 </s> |
|
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|
3258 </p> |
|
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|
3259 <p> |
|
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|
3260 <s xml:id="echoid-s307" xml:space="preserve"> |
|
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|
3261 Æquall[???] Weight <lb/> |
|
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|
3262 Gold <lb/> |
|
22d6a63640c6
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|
3263 Copper <lb/> |
|
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|
3264 Silver <lb/> |
|
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|
3265 Copper to Silver <lb/> |
|
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|
3266 Lead to Silver <lb/> |
|
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|
3267 Tin to Silver <lb/> |
|
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|
3268 Tin to Gold <lb/> |
|
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|
3269 Silver to Iron <lb/> |
|
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|
3270 Gold to Iron <lb/> |
|
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|
3271 Mercury to Gold |
|
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|
3272 </s> |
|
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|
3273 </p> |
|
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|
3274 <p> |
|
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|
3275 <s xml:id="echoid-s308" xml:space="preserve"> |
|
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|
3276 The nombers as they are in Bodin <lb/> |
|
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|
3277 by examination we finde some <lb/> |
|
22d6a63640c6
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|
3278 false printed, such as are above <lb/> |
|
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|
3279 cancelled. |
|
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|
3280 </s> |
|
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|
3281 </p> |
|
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|
3282 <p> |
|
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|
3283 <s xml:id="echoid-s309" xml:space="preserve"> |
|
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|
3284 The nombers of the author <lb/> |
|
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|
3285 we take <emph style="super">to be</emph> as followeth. |
|
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|
3286 </s> |
|
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|
3287 </p> |
|
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|
3288 <p> |
|
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|
3289 <s xml:id="echoid-s310" xml:space="preserve"> |
|
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|
3290 Other nombers of the same rate: <lb/> |
|
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|
3291 whereby appeareth <lb/> |
|
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|
3292 the difference <lb/> |
|
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|
3293 of Clavius <lb/> |
|
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|
3294 his experiments. |
|
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|
3295 </s> |
|
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|
3296 </p> |
|
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|
3297 <p> |
|
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|
3298 <s xml:id="echoid-s311" xml:space="preserve"> |
|
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|
3299 Gold. <lb/> |
|
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|
3300 Lead. <lb/> |
|
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|
3301 Silver. <lb/> |
|
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|
3302 Copper. <lb/> |
|
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|
3303 Iron. <lb/> |
|
22d6a63640c6
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|
3304 Tin. <lb/> |
|
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|
3305 Mercury. <lb/> |
|
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|
3306 sulphur. <lb/> |
|
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|
3307 wax. |
|
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|
3308 </s> |
|
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|
3309 </p> |
|
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|
3310 <pb file="0458.jpg" o="229v" n="458"/> |
|
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|
3311 <pb file="0459.jpg" o="230r" n="459"/> |
|
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|
3312 <pb file="0460.jpg" o="230v" n="460"/> |
|
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|
3313 <pb file="0461.jpg" o="231r" n="461"/> |
|
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|
3314 <pb file="0462.jpg" o="231v" n="462"/> |
|
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|
3315 <pb file="0463.jpg" o="232r" n="463"/> |
|
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|
3316 <pb file="0464.jpg" o="232v" n="464"/> |
|
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|
3317 <pb file="0465.jpg" o="233r" n="465"/> |
|
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3318 <pb file="0466.jpg" o="233v" n="466"/> |
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3319 <pb file="0467.jpg" o="234r" n="467"/> |
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3320 <pb file="0468.jpg" o="234v" n="468"/> |
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3321 <pb file="0469.jpg" o="235r" n="469"/> |
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3322 <pb file="0470.jpg" o="235v" n="470"/> |
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3323 <pb file="0471.jpg" o="236r" n="471"/> |
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3324 <pb file="0472.jpg" o="236v" n="472"/> |
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3325 <pb file="0473.jpg" o="237r" n="473"/> |
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3326 <pb file="0474.jpg" o="237v" n="474"/> |
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3327 <pb file="0475.jpg" o="238r" n="475"/> |
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3328 <pb file="0476.jpg" o="238v" n="476"/> |
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3329 <pb file="0477.jpg" o="239r" n="477"/> |
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3330 <pb file="0478.jpg" o="239v" n="478"/> |
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3331 <pb file="0479.jpg" o="240r" n="479"/> |
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3332 <pb file="0480.jpg" o="240v" n="480"/> |
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3333 <pb file="0481.jpg" o="241r" n="481"/> |
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3334 <pb file="0482.jpg" o="241v" n="482"/> |
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3335 <pb file="0483.jpg" o="242r" n="483"/> |
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3336 <pb file="0484.jpg" o="242v" n="484"/> |
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3337 <pb file="0485.jpg" o="243r" n="485"/> |
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3338 <pb file="0486.jpg" o="243v" n="486"/> |
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3339 <pb file="0487.jpg" o="244r" n="487"/> |
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3340 <pb file="0488.jpg" o="244v" n="488"/> |
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3341 <pb file="0489.jpg" o="245r" n="489"/> |
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3342 <pb file="0490.jpg" o="245v" n="490"/> |
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3343 <pb file="0491.jpg" o="246r" n="491"/> |
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3344 <pb file="0492.jpg" o="246v" n="492"/> |
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3345 <pb file="0493.jpg" o="247r" n="493"/> |
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3346 <pb file="0494.jpg" o="247v" n="494"/> |
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3347 <pb file="0495.jpg" o="248r" n="495"/> |
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3348 <pb file="0496.jpg" o="248v" n="496"/> |
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3349 <pb file="0497.jpg" o="249r" n="497"/> |
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3350 <pb file="0498.jpg" o="249v" n="498"/> |
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3351 <pb file="0499.jpg" o="250r" n="499"/> |
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3352 <pb file="0500.jpg" o="250v" n="500"/> |
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3353 <div xml:id="echoid-div9" type="page_commentary" level="2" n="9"> |
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3354 <p> |
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3355 <s xml:id="echoid-s312" xml:space="preserve">[<emph style="it">Note: |
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3356 <p> |
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3357 <s xml:id="echoid-s312" xml:space="preserve"> |
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|
3358 The last four sentences are anagrams of one another. For a frequency analysis of the letters see the next folio, |
|
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|
3359 Add MS 6788, f. 251v. |
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|
3360 </s> |
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|
3361 </p> |
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|
3362 </emph>] |
|
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|
3363 <lb/><lb/></s></p></div> |
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|
3364 <p xml:lang="lat"> |
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3365 <s xml:id="echoid-s314" xml:space="preserve"> |
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|
3366 privatum lumine solem <lb/> |
|
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|
3367 igneum ama res stabit (basem) <lb/> |
|
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|
3368 umbræ mutæ in vasitis mirum <lb/> |
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|
3369 plangite solem |
|
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|
3370 </s> |
|
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|
3371 </p> |
|
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|
3372 <p xml:lang="lat"> |
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|
3373 <s xml:id="echoid-s315" xml:space="preserve"> |
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|
3374 umbræ in vastis mutæ, solem plangite mirum. <lb/> |
|
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|
3375 umbræ in vastis miræ, solem plangite mutum. <lb/> |
|
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|
3376 umbræ miræ in mutis, solem plangite vastum. <lb/> |
|
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|
3377 umbræ vastæ in mutis <emph style="super">insitum</emph>, solem plangite mirum. |
|
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|
3378 </s> |
|
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|
3379 </p> |
|
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|
3380 <pb file="0501.jpg" o="251r" n="501"/> |
|
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|
3381 <pb file="0502.jpg" o="251v" n="502"/> |
|
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|
3382 <div xml:id="echoid-div10" type="page_commentary" level="2" n="10"> |
|
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|
3383 <p> |
|
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|
3384 <s xml:id="echoid-s316" xml:space="preserve">[<emph style="it">Note: |
|
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|
3385 <p> |
|
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|
3386 <s xml:id="echoid-s316" xml:space="preserve"> |
|
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|
3387 This page contains a frequency analysis of the 37 letters in the last four sentences on the previous page, |
|
22d6a63640c6
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|
3388 Add MS 6788, f. 250v. <lb/> |
|
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|
3389 For other sentences made from the same letters, see Add MS 6786, f. 321 and Add MS 6789, f. 455v. |
|
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|
3390 </s> |
|
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|
3391 </p> |
|
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|
3392 </emph>] |
|
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|
3393 <lb/><lb/></s></p></div> |
|
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|
3394 <pb file="0503.jpg" o="252r" n="503"/> |
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|
3395 <pb file="0504.jpg" o="252v" n="504"/> |
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|
3396 <pb file="0505.jpg" o="253r" n="505"/> |
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|
3397 <pb file="0506.jpg" o="253v" n="506"/> |
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|
3398 <pb file="0507.jpg" o="254r" n="507"/> |
|
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|
3399 <pb file="0508.jpg" o="254v" n="508"/> |
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|
3400 <pb file="0509.jpg" o="255r" n="509"/> |
|
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|
3401 <pb file="0510.jpg" o="255v" n="510"/> |
|
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3402 <pb file="0511.jpg" o="256r" n="511"/> |
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3403 <pb file="0512.jpg" o="256v" n="512"/> |
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3404 <pb file="0513.jpg" o="257r" n="513"/> |
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3405 <div xml:id="echoid-div11" type="page_commentary" level="2" n="11"> |
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3406 <p> |
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3407 <s xml:id="echoid-s318" xml:space="preserve">[<emph style="it">Note: |
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3408 <p> |
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3409 <s xml:id="echoid-s318" xml:space="preserve"> |
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3410 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
|
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3411 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 172. |
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3412 </s> |
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3413 </p> |
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3414 </emph>] |
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3415 <lb/><lb/></s></p></div> |
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3416 <head xml:id="echoid-head38" xml:space="preserve" xml:lang="lat"> |
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3417 Ubald. pag. 172. |
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3418 </head> |
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3419 <pb file="0514.jpg" o="257v" n="514"/> |
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3420 <div xml:id="echoid-div12" type="page_commentary" level="2" n="12"> |
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3421 <p> |
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3422 <s xml:id="echoid-s320" xml:space="preserve">[<emph style="it">Note: |
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3423 <p> |
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3424 <s xml:id="echoid-s320" xml:space="preserve"> |
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3425 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
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3426 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 172. |
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3427 </s> |
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3428 </p> |
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3429 </emph>] |
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3430 <lb/><lb/></s></p></div> |
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3431 <head xml:id="echoid-head39" xml:space="preserve" xml:lang="lat"> |
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3432 Archimedes de <emph style="st">quadratura</emph> <emph style="super">centro gravitate</emph> parabolæ. Ubaldi: pag. 172. |
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3433 </head> |
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3434 <pb file="0515.jpg" o="258r" n="515"/> |
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3435 <pb file="0516.jpg" o="258v" n="516"/> |
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3436 <pb file="0517.jpg" o="259r" n="517"/> |
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3437 <pb file="0518.jpg" o="259v" n="518"/> |
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3438 <pb file="0519.jpg" o="260r" n="519"/> |
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3439 <pb file="0520.jpg" o="260v" n="520"/> |
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3440 <pb file="0521.jpg" o="261r" n="521"/> |
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3441 <pb file="0522.jpg" o="261v" n="522"/> |
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3442 <pb file="0523.jpg" o="262r" n="523"/> |
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3443 <pb file="0524.jpg" o="262v" n="524"/> |
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3444 <pb file="0525.jpg" o="263r" n="525"/> |
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3445 <pb file="0526.jpg" o="263v" n="526"/> |
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3446 <pb file="0527.jpg" o="264r" n="527"/> |
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3447 <pb file="0528.jpg" o="264v" n="528"/> |
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3448 <pb file="0529.jpg" o="265r" n="529"/> |
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3449 <pb file="0530.jpg" o="265v" n="530"/> |
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3450 <pb file="0531.jpg" o="266r" n="531"/> |
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3451 <pb file="0532.jpg" o="266v" n="532"/> |
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3452 <div xml:id="echoid-div13" type="page_commentary" level="2" n="13"> |
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3453 <p> |
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3454 <s xml:id="echoid-s322" xml:space="preserve">[<emph style="it">Note: |
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3455 <p> |
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3456 <s xml:id="echoid-s322" xml:space="preserve"> |
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|
3457 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
|
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3458 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 108. |
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3459 </s> |
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|
3460 </p> |
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|
3461 </emph>] |
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3462 <lb/><lb/></s></p></div> |
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3463 <head xml:id="echoid-head40" xml:space="preserve" xml:lang="lat"> |
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|
3464 De centro gravitatis <lb/> |
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|
3465 Trapezij <lb/> |
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|
3466 ut Archimides |
|
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|
3467 </head> |
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3468 <p> |
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3469 <s xml:id="echoid-s324" xml:space="preserve"> |
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|
3470 Guidus Ubaldus <lb/> |
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|
3471 pag. 208 |
|
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|
3472 </s> |
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|
3473 </p> |
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|
3474 <pb file="0533.jpg" o="267r" n="533"/> |
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|
3475 <pb file="0534.jpg" o="267v" n="534"/> |
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|
3476 <div xml:id="echoid-div14" type="page_commentary" level="2" n="14"> |
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|
3477 <p> |
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|
3478 <s xml:id="echoid-s325" xml:space="preserve">[<emph style="it">Note: |
|
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|
3479 <p> |
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|
3480 <s xml:id="echoid-s325" xml:space="preserve"> |
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|
3481 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
|
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|
3482 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 108. |
|
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|
3483 Harriot's diagram is the same as Guidobaldi's except that he has used instead of upper case letters. |
|
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|
3484 </s> |
|
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|
3485 </p> |
|
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|
3486 </emph>] |
|
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|
3487 <lb/><lb/></s></p></div> |
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3488 <head xml:id="echoid-head41" xml:space="preserve" xml:lang="lat"> |
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3489 De centro gravitatis <lb/> |
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3490 Trapezij <lb/> |
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3491 ut Archimides |
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3492 </head> |
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3493 <p> |
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3494 <s xml:id="echoid-s327" xml:space="preserve"> |
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3495 Guidus Ubaldus <lb/> |
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3496 pag. 108 |
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3497 </s> |
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3498 </p> |
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3499 <pb file="0535.jpg" o="268r" n="535"/> |
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3500 <pb file="0536.jpg" o="268v" n="536"/> |
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3501 <pb file="0537.jpg" o="269r" n="537"/> |
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3502 <pb file="0538.jpg" o="269v" n="538"/> |
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3503 <pb file="0539.jpg" o="270r" n="539"/> |
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3504 <pb file="0540.jpg" o="270v" n="540"/> |
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3505 <pb file="0541.jpg" o="271r" n="541"/> |
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3506 <div xml:id="echoid-div15" type="page_commentary" level="2" n="15"> |
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3507 <p> |
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3508 <s xml:id="echoid-s328" xml:space="preserve">[<emph style="it">Note: |
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3509 <p> |
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3510 <s xml:id="echoid-s328" xml:space="preserve"> |
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3511 The text followed by Harriot in this and surrounding pages was Guidobaldi del Monte (Guido Ubaldi), |
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3512 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588). |
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3513 </s> |
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3514 </p> |
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3515 </emph>] |
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3516 <lb/><lb/></s></p></div> |
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3517 <head xml:id="echoid-head42" xml:space="preserve" xml:lang="lat"> |
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3518 Archimedes de æquipond: |
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3519 lib. 2. pr. 9. |
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3520 <lb/>[<emph style="it">tr: |
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3521 Archimedes, De æquiponderantibus, Book 2, Proposition 9 |
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3522 </emph>]<lb/> |
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3523 </head> |
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3524 <pb file="0542.jpg" o="271v" n="542"/> |
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3525 <pb file="0543.jpg" o="272r" n="543"/> |
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3526 <pb file="0544.jpg" o="272v" n="544"/> |
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3527 <pb file="0545.jpg" o="273r" n="545"/> |
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3528 <pb file="0546.jpg" o="273v" n="546"/> |
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3529 <pb file="0547.jpg" o="274r" n="547"/> |
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3530 <pb file="0548.jpg" o="274v" n="548"/> |
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3531 <pb file="0549.jpg" o="275r" n="549"/> |
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3532 <pb file="0550.jpg" o="275v" n="550"/> |
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3533 <pb file="0551.jpg" o="276r" n="551"/> |
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3534 <pb file="0552.jpg" o="276v" n="552"/> |
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3535 <pb file="0553.jpg" o="277r" n="553"/> |
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3536 <pb file="0554.jpg" o="277v" n="554"/> |
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3537 <pb file="0555.jpg" o="278r" n="555"/> |
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|
3538 <div xml:id="echoid-div16" type="page_commentary" level="2" n="16"> |
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3539 <p> |
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3540 <s xml:id="echoid-s330" xml:space="preserve">[<emph style="it">Note: |
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3541 <p> |
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3542 <s xml:id="echoid-s330" xml:space="preserve"> |
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|
3543 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
|
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|
3544 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 179. |
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|
3545 Harriot's diagrams are similar to those of Guidobaldi's on page 180 |
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|
3546 except that he has used lower case instead of upper case letters. |
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|
3547 </s> |
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3548 </p> |
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3549 </emph>] |
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3550 <lb/><lb/></s></p></div> |
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3551 <head xml:id="echoid-head43" xml:space="preserve" xml:lang="lat"> |
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|
3552 Guidus Ubaldus <lb/> |
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|
3553 pag. <lb/> |
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|
3554 179 |
|
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3555 </head> |
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3556 <pb file="0556.jpg" o="278v" n="556"/> |
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|
3557 <pb file="0557.jpg" o="279r" n="557"/> |
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3558 <pb file="0558.jpg" o="279v" n="558"/> |
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3559 <pb file="0559.jpg" o="280r" n="559"/> |
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3560 <pb file="0560.jpg" o="280v" n="560"/> |
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3561 <pb file="0561.jpg" o="281r" n="561"/> |
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|
3562 <div xml:id="echoid-div17" type="page_commentary" level="2" n="17"> |
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|
3563 <p> |
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|
3564 <s xml:id="echoid-s332" xml:space="preserve">[<emph style="it">Note: |
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3565 <p> |
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|
3566 <s xml:id="echoid-s332" xml:space="preserve"> |
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|
3567 The text followed by Harriot in this and surrounding pages was Guidobaldi del Monte (Guido Ubaldi), |
|
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|
3568 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588). |
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|
3569 </s> |
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|
3570 </p> |
|
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|
3571 </emph>] |
|
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|
3572 <lb/><lb/></s></p></div> |
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|
3573 <head xml:id="echoid-head44" xml:space="preserve" xml:lang="lat"> |
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3574 De æquiponderantibus |
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3575 2. lib: prop. 9 |
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3576 <lb/>[<emph style="it">tr: |
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|
3577 De æquiponderantibus, Book 2, Proposition 9 |
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3578 </emph>]<lb/> |
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3579 </head> |
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3580 <p xml:lang="lat"> |
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3581 <s xml:id="echoid-s334" xml:space="preserve"> |
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3582 Sint quatuor continue proportionales |
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3583 <lb/>[<emph style="it">tr: |
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3584 Let there be four continued proportionals |
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3585 </emph>]<lb/> |
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3586 </s> |
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3587 </p> |
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3588 <p xml:lang="lat"> |
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3589 <s xml:id="echoid-s335" xml:space="preserve"> |
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3590 alicui lineæ quæ |
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3591 minor est <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>e</mi></mstyle></math> |
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3592 et sit <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>d</mi><mi>o</mi></mstyle></math> |
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3593 </s> |
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3594 </p> |
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3595 <pb file="0562.jpg" o="281v" n="562"/> |
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3596 <pb file="0563.jpg" o="282r" n="563"/> |
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3597 <div xml:id="echoid-div18" type="page_commentary" level="2" n="18"> |
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3598 <p> |
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3599 <s xml:id="echoid-s336" xml:space="preserve">[<emph style="it">Note: |
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3600 <p> |
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3601 <s xml:id="echoid-s336" xml:space="preserve"> |
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3602 The text followed by Harriot in this and surrounding pages was Guidobaldi del Monte (Guido Ubaldi), |
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3603 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588). |
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3604 </s> |
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3605 </p> |
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3606 </emph>] |
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3607 <lb/><lb/></s></p></div> |
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3608 <head xml:id="echoid-head45" xml:space="preserve" xml:lang="lat"> |
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3609 De æquiponderantibus |
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|
3610 2. lib: prop. 9 |
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3611 <lb/>[<emph style="it">tr: |
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3612 De æquiponderantibus, Book 2, Proposition 9 |
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3613 </emph>]<lb/> |
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3614 </head> |
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3615 <pb file="0564.jpg" o="282v" n="564"/> |
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3616 <pb file="0565.jpg" o="283r" n="565"/> |
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3617 <div xml:id="echoid-div19" type="page_commentary" level="2" n="19"> |
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3618 <p> |
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3619 <s xml:id="echoid-s338" xml:space="preserve">[<emph style="it">Note: |
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3620 <p> |
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3621 <s xml:id="echoid-s338" xml:space="preserve"> |
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3622 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
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3623 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 190. |
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3624 Harriot's diagram is the same as Guidobaldi's except that he has used instead of upper case letters. |
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3625 </s> |
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3626 </p> |
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3627 </emph>] |
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3628 <lb/><lb/></s></p></div> |
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3629 <head xml:id="echoid-head46" xml:space="preserve" xml:lang="lat"> |
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3630 De parabola. |
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3631 </head> |
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3632 <p> |
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3633 <s xml:id="echoid-s340" xml:space="preserve"> |
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|
3634 Guidus Ubaldus <lb/> |
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|
3635 pag. 190 |
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3636 </s> |
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3637 </p> |
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3638 <pb file="0566.jpg" o="283v" n="566"/> |
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3639 <pb file="0567.jpg" o="284r" n="567"/> |
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3640 <div xml:id="echoid-div20" type="page_commentary" level="2" n="20"> |
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3641 <p> |
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3642 <s xml:id="echoid-s341" xml:space="preserve">[<emph style="it">Note: |
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3643 <p> |
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3644 <s xml:id="echoid-s341" xml:space="preserve"> |
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3645 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
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3646 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588), page 171. |
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3647 Harriot's diagram is the same as Guidobaldi's except that he has used instead of upper case letters. |
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3648 </s> |
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3649 </p> |
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3650 </emph>] |
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3651 <lb/><lb/></s></p></div> |
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3652 <head xml:id="echoid-head47" xml:space="preserve" xml:lang="lat"> |
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3653 De centro gravitates <lb/> |
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3654 parabolæ. |
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3655 </head> |
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3656 <p> |
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3657 <s xml:id="echoid-s343" xml:space="preserve"> |
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3658 vide Guidum Ubaldum <lb/> |
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3659 pag 171 |
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3660 </s> |
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3661 </p> |
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3662 <pb file="0568.jpg" o="284v" n="568"/> |
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3663 <pb file="0569.jpg" o="285r" n="569"/> |
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3664 <div xml:id="echoid-div21" type="page_commentary" level="2" n="21"> |
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3665 <p> |
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3666 <s xml:id="echoid-s344" xml:space="preserve">[<emph style="it">Note: |
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3667 <p> |
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3668 <s xml:id="echoid-s344" xml:space="preserve"> |
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3669 The text followed by Harriot in this and surrounding pages was Guidobaldi del Monte (Guido Ubaldi), |
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3670 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588). |
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3671 </s> |
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3672 </p> |
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3673 </emph>] |
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3674 <lb/><lb/></s></p></div> |
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3675 <head xml:id="echoid-head48" xml:space="preserve" xml:lang="lat"> |
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3676 Elementæ de frustro |
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3677 pyramedis. |
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3678 <lb/>[<emph style="it">tr: |
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3679 Elements of the frustrum of a pyramid |
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3680 </emph>]<lb/> |
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3681 </head> |
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3682 <pb file="0570.jpg" o="285v" n="570"/> |
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3683 <pb file="0571.jpg" o="286r" n="571"/> |
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3684 <pb file="0572.jpg" o="286v" n="572"/> |
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3685 <pb file="0573.jpg" o="287r" n="573"/> |
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3686 <pb file="0574.jpg" o="287v" n="574"/> |
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3687 <pb file="0575.jpg" o="288r" n="575"/> |
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3688 <pb file="0576.jpg" o="288v" n="576"/> |
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3689 <pb file="0577.jpg" o="289r" n="577"/> |
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3690 <pb file="0578.jpg" o="289v" n="578"/> |
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3691 <pb file="0579.jpg" o="290r" n="579"/> |
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3692 <pb file="0580.jpg" o="290v" n="580"/> |
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3693 <pb file="0581.jpg" o="291r" n="581"/> |
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3694 <pb file="0582.jpg" o="291v" n="582"/> |
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3695 <pb file="0583.jpg" o="292r" n="583"/> |
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3696 <pb file="0584.jpg" o="292v" n="584"/> |
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3697 <pb file="0585.jpg" o="293r" n="585"/> |
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3698 <pb file="0586.jpg" o="293v" n="586"/> |
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3699 <pb file="0587.jpg" o="294r" n="587"/> |
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3700 <pb file="0588.jpg" o="294v" n="588"/> |
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3701 <pb file="0589.jpg" o="295r" n="589"/> |
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3702 <pb file="0590.jpg" o="295v" n="590"/> |
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3703 <pb file="0591.jpg" o="296r" n="591"/> |
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3704 <pb file="0592.jpg" o="296v" n="592"/> |
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3705 <pb file="0593.jpg" o="297r" n="593"/> |
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3706 <pb file="0594.jpg" o="297v" n="594"/> |
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3707 <pb file="0595.jpg" o="298r" n="595"/> |
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3708 <pb file="0596.jpg" o="298v" n="596"/> |
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3709 <pb file="0597.jpg" o="299r" n="597"/> |
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3710 <pb file="0598.jpg" o="299v" n="598"/> |
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3711 <pb file="0599.jpg" o="300r" n="599"/> |
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3712 <pb file="0600.jpg" o="300v" n="600"/> |
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3713 <pb file="0601.jpg" o="301r" n="601"/> |
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3714 <pb file="0602.jpg" o="301v" n="602"/> |
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3715 <pb file="0603.jpg" o="302r" n="603"/> |
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3716 <pb file="0604.jpg" o="302v" n="604"/> |
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3717 <pb file="0605.jpg" o="303r" n="605"/> |
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3718 <pb file="0606.jpg" o="303v" n="606"/> |
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3719 <pb file="0607.jpg" o="304r" n="607"/> |
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3720 <pb file="0608.jpg" o="304v" n="608"/> |
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3721 <pb file="0609.jpg" o="305r" n="609"/> |
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3722 <pb file="0610.jpg" o="305v" n="610"/> |
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3723 <pb file="0611.jpg" o="306r" n="611"/> |
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3724 <pb file="0612.jpg" o="306v" n="612"/> |
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3725 <pb file="0613.jpg" o="307r" n="613"/> |
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3726 <pb file="0614.jpg" o="307v" n="614"/> |
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3727 <pb file="0615.jpg" o="308r" n="615"/> |
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3728 <pb file="0616.jpg" o="308v" n="616"/> |
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3729 <pb file="0617.jpg" o="309r" n="617"/> |
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3730 <pb file="0618.jpg" o="309v" n="618"/> |
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3731 <pb file="0619.jpg" o="310r" n="619"/> |
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3732 <pb file="0620.jpg" o="310v" n="620"/> |
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3733 <pb file="0621.jpg" o="311r" n="621"/> |
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3734 <pb file="0622.jpg" o="311v" n="622"/> |
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3735 <pb file="0623.jpg" o="312r" n="623"/> |
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3736 <pb file="0624.jpg" o="312v" n="624"/> |
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3737 <pb file="0625.jpg" o="313r" n="625"/> |
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3738 <pb file="0626.jpg" o="313v" n="626"/> |
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3739 <pb file="0627.jpg" o="314r" n="627"/> |
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3740 <pb file="0628.jpg" o="314v" n="628"/> |
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3741 <pb file="0629.jpg" o="315r" n="629"/> |
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3742 <pb file="0630.jpg" o="315v" n="630"/> |
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3743 <pb file="0631.jpg" o="316r" n="631"/> |
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3744 <pb file="0632.jpg" o="316v" n="632"/> |
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3745 <pb file="0633.jpg" o="317r" n="633"/> |
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3746 <pb file="0634.jpg" o="317v" n="634"/> |
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3747 <pb file="0635.jpg" o="318r" n="635"/> |
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3748 <pb file="0636.jpg" o="318v" n="636"/> |
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3749 <pb file="0637.jpg" o="319r" n="637"/> |
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3750 <pb file="0638.jpg" o="319v" n="638"/> |
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3751 <pb file="0639.jpg" o="320r" n="639"/> |
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3752 <pb file="0640.jpg" o="320v" n="640"/> |
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3753 <pb file="0641.jpg" o="321r" n="641"/> |
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3754 <pb file="0642.jpg" o="321v" n="642"/> |
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3755 <pb file="0643.jpg" o="322r" n="643"/> |
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3756 <pb file="0644.jpg" o="322v" n="644"/> |
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3757 <pb file="0645.jpg" o="323r" n="645"/> |
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3758 <pb file="0646.jpg" o="323v" n="646"/> |
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3759 <pb file="0647.jpg" o="324r" n="647"/> |
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3760 <pb file="0648.jpg" o="324v" n="648"/> |
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3761 <pb file="0649.jpg" o="325r" n="649"/> |
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3762 <pb file="0650.jpg" o="325v" n="650"/> |
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3763 <pb file="0651.jpg" o="326r" n="651"/> |
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3764 <pb file="0652.jpg" o="326v" n="652"/> |
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3765 <pb file="0653.jpg" o="327r" n="653"/> |
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3766 <pb file="0654.jpg" o="327v" n="654"/> |
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3767 <pb file="0655.jpg" o="328r" n="655"/> |
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3768 <pb file="0656.jpg" o="328v" n="656"/> |
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3769 <pb file="0657.jpg" o="329r" n="657"/> |
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3770 <pb file="0658.jpg" o="329v" n="658"/> |
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3771 <pb file="0659.jpg" o="330r" n="659"/> |
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3772 <pb file="0660.jpg" o="330v" n="660"/> |
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3773 <pb file="0661.jpg" o="331r" n="661"/> |
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3774 <pb file="0662.jpg" o="331v" n="662"/> |
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3775 <pb file="0663.jpg" o="332r" n="663"/> |
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3776 <pb file="0664.jpg" o="332v" n="664"/> |
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3777 <pb file="0665.jpg" o="333r" n="665"/> |
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3778 <pb file="0666.jpg" o="333v" n="666"/> |
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3779 <pb file="0667.jpg" o="334r" n="667"/> |
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3780 <pb file="0668.jpg" o="334v" n="668"/> |
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3781 <pb file="0669.jpg" o="335r" n="669"/> |
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3782 <pb file="0670.jpg" o="335v" n="670"/> |
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3783 <pb file="0671.jpg" o="336r" n="671"/> |
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3784 <pb file="0672.jpg" o="336v" n="672"/> |
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3785 <pb file="0673.jpg" o="337r" n="673"/> |
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3786 <pb file="0674.jpg" o="337v" n="674"/> |
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3787 <pb file="0675.jpg" o="338r" n="675"/> |
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3788 <pb file="0676.jpg" o="338v" n="676"/> |
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3789 <pb file="0677.jpg" o="339r" n="677"/> |
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3790 <pb file="0678.jpg" o="339v" n="678"/> |
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3791 <pb file="0679.jpg" o="340r" n="679"/> |
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3792 <pb file="0680.jpg" o="340v" n="680"/> |
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3793 <div xml:id="echoid-div22" type="page_commentary" level="2" n="22"> |
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3794 <p> |
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3795 <s xml:id="echoid-s346" xml:space="preserve">[<emph style="it">Note: |
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3796 <p> |
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3797 <s xml:id="echoid-s346" xml:space="preserve"> |
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3798 The reference on this page is to Guidobaldi del Monte (Guido Ubaldi), |
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3799 <emph style="it">In duos Archimedies aequiponderantium libros paraphrasis</emph> (1588). |
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|
3800 The page numberlost in the binding is probably 193. |
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|
3801 Guidbaldi's diagram first appears on page 193 but is also repeated on pages 194, 196, 198, 200. |
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3802 Harriot's diagram is the same as Guidobaldi's except that |
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3803 he has used lower case instead of upper case letters. |
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|
3804 </s> |
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3805 </p> |
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|
3806 </emph>] |
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3807 <lb/><lb/></s></p></div> |
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3808 <head xml:id="echoid-head49" xml:space="preserve" xml:lang="lat"> |
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3809 De centro gravitates <lb/> |
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3810 frustri parabolæ <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>a</mi><mi>d</mi><mi>e</mi><mi>c</mi></mstyle></math> |
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3811 </head> |
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3812 <p> |
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3813 <s xml:id="echoid-s348" xml:space="preserve"> |
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|
3814 Guidus Ubaldus <lb/> |
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|
3815 pag. [???] |
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3816 </s> |
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3817 </p> |
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3818 <pb file="0681.jpg" o="341r" n="681"/> |
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3819 <pb file="0682.jpg" o="341v" n="682"/> |
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3820 <pb file="0683.jpg" o="342r" n="683"/> |
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3821 <pb file="0684.jpg" o="342v" n="684"/> |
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3822 <pb file="0685.jpg" o="343r" n="685"/> |
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3823 <pb file="0686.jpg" o="343v" n="686"/> |
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3824 <pb file="0687.jpg" o="344r" n="687"/> |
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3825 <pb file="0688.jpg" o="344v" n="688"/> |
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3826 <pb file="0689.jpg" o="345r" n="689"/> |
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3827 <pb file="0690.jpg" o="345v" n="690"/> |
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3851 <pb file="0714.jpg" o="357v" n="714"/> |
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3853 <pb file="0716.jpg" o="358v" n="716"/> |
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3863 <pb file="0726.jpg" o="363v" n="726"/> |
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3865 <pb file="0728.jpg" o="364v" n="728"/> |
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3866 <pb file="0729.jpg" o="365r" n="729"/> |
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3867 <pb file="0730.jpg" o="365v" n="730"/> |
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3868 <pb file="0731.jpg" o="366r" n="731"/> |
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3869 <pb file="0732.jpg" o="366v" n="732"/> |
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3870 <pb file="0733.jpg" o="367r" n="733"/> |
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|
3871 <p> |
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|
3872 <s xml:id="echoid-s349" xml:space="preserve"> |
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|
3873 [Kethya] |
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|
3874 </s> |
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|
3875 </p> |
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|
3876 <pb file="0734.jpg" o="367v" n="734"/> |
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3877 <pb file="0735.jpg" o="368r" n="735"/> |
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3878 <pb file="0736.jpg" o="368v" n="736"/> |
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3879 <pb file="0737.jpg" o="369r" n="737"/> |
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3880 <pb file="0738.jpg" o="369v" n="738"/> |
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3881 <pb file="0739.jpg" o="370r" n="739"/> |
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3882 <pb file="0740.jpg" o="370v" n="740"/> |
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3883 <pb file="0741.jpg" o="371r" n="741"/> |
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3884 <pb file="0742.jpg" o="371v" n="742"/> |
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3885 <pb file="0743.jpg" o="372r" n="743"/> |
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3886 <pb file="0744.jpg" o="372v" n="744"/> |
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3887 <pb file="0745.jpg" o="373r" n="745"/> |
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3888 <pb file="0746.jpg" o="373v" n="746"/> |
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3889 <pb file="0747.jpg" o="374r" n="747"/> |
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3890 <pb file="0748.jpg" o="374v" n="748"/> |
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3891 <pb file="0749.jpg" o="375r" n="749"/> |
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3892 <pb file="0750.jpg" o="375v" n="750"/> |
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3893 <pb file="0751.jpg" o="376r" n="751"/> |
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3894 <pb file="0752.jpg" o="376v" n="752"/> |
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3895 <pb file="0753.jpg" o="377r" n="753"/> |
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3896 <pb file="0754.jpg" o="377v" n="754"/> |
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3897 <pb file="0755.jpg" o="378r" n="755"/> |
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3898 <pb file="0756.jpg" o="378v" n="756"/> |
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3899 <pb file="0757.jpg" o="379r" n="757"/> |
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3900 <pb file="0758.jpg" o="379v" n="758"/> |
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3901 <pb file="0759.jpg" o="380r" n="759"/> |
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3902 <pb file="0760.jpg" o="380v" n="760"/> |
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3903 <pb file="0761.jpg" o="381r" n="761"/> |
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3904 <pb file="0762.jpg" o="381v" n="762"/> |
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3905 <pb file="0763.jpg" o="382r" n="763"/> |
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3906 <pb file="0764.jpg" o="382v" n="764"/> |
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3907 <pb file="0765.jpg" o="383r" n="765"/> |
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3908 <pb file="0766.jpg" o="383v" n="766"/> |
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3909 <pb file="0767.jpg" o="384r" n="767"/> |
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3910 <pb file="0768.jpg" o="384v" n="768"/> |
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3982 <pb file="0840.jpg" o="420v" n="840"/> |
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3983 <pb file="0841.jpg" o="421r" n="841"/> |
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3984 <pb file="0842.jpg" o="421v" n="842"/> |
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3985 <pb file="0843.jpg" o="422r" n="843"/> |
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3986 <pb file="0844.jpg" o="422v" n="844"/> |
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3988 <pb file="0846.jpg" o="423v" n="846"/> |
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|
3994 <pb file="0852.jpg" o="426v" n="852"/> |
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|
3995 <pb file="0853.jpg" o="427r" n="853"/> |
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|
3996 <pb file="0854.jpg" o="427v" n="854"/> |
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|
3997 <pb file="0855.jpg" o="428r" n="855"/> |
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|
3998 <pb file="0856.jpg" o="428v" n="856"/> |
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|
3999 <pb file="0857.jpg" o="429r" n="857"/> |
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|
4000 <pb file="0858.jpg" o="429v" n="858"/> |
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|
4001 <pb file="0859.jpg" o="430r" n="859"/> |
|
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|
4002 <pb file="0860.jpg" o="430v" n="860"/> |
|
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|
4003 <pb file="0861.jpg" o="431r" n="861"/> |
|
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|
4004 <pb file="0862.jpg" o="431v" n="862"/> |
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|
4005 <pb file="0863.jpg" o="432r" n="863"/> |
|
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|
4006 <pb file="0864.jpg" o="432v" n="864"/> |
|
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|
4007 <pb file="0865.jpg" o="433r" n="865"/> |
|
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|
4008 <pb file="0866.jpg" o="433v" n="866"/> |
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|
4009 <pb file="0867.jpg" o="434r" n="867"/> |
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|
4010 <pb file="0868.jpg" o="434v" n="868"/> |
|
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|
4011 <pb file="0869.jpg" o="435r" n="869"/> |
|
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|
4012 <pb file="0870.jpg" o="435v" n="870"/> |
|
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|
4013 <pb file="0871.jpg" o="436r" n="871"/> |
|
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|
4014 <pb file="0872.jpg" o="436v" n="872"/> |
|
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|
4015 <pb file="0873.jpg" o="437r" n="873"/> |
|
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|
4016 <pb file="0874.jpg" o="437v" n="874"/> |
|
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|
4017 <pb file="0875.jpg" o="438r" n="875"/> |
|
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|
4018 <pb file="0876.jpg" o="438v" n="876"/> |
|
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|
4019 <pb file="0877.jpg" o="439r" n="877"/> |
|
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|
4020 <pb file="0878.jpg" o="439v" n="878"/> |
|
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|
4021 <pb file="0879.jpg" o="440r" n="879"/> |
|
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|
4022 <pb file="0880.jpg" o="440v" n="880"/> |
|
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|
4023 <head xml:id="echoid-head50" xml:space="preserve" xml:lang="lat"> |
|
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|
4024 Comparatio observationum vernalium <lb/> |
|
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|
4025 Simonis Bredonis et Tychonis Brahe |
|
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|
4026 </head> |
|
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|
4027 <pb file="0881.jpg" o="441r" n="881"/> |
|
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|
4028 <pb file="0882.jpg" o="441v" n="882"/> |
|
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|
4029 <pb file="0883.jpg" o="442r" n="883"/> |
|
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|
4030 <pb file="0884.jpg" o="442v" n="884"/> |
|
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|
4031 <pb file="0885.jpg" o="443r" n="885"/> |
|
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|
4032 <pb file="0886.jpg" o="443v" n="886"/> |
|
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|
4033 <pb file="0887.jpg" o="444r" n="887"/> |
|
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|
4034 <pb file="0888.jpg" o="444v" n="888"/> |
|
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|
4035 <pb file="0889.jpg" o="445r" n="889"/> |
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|
4036 <pb file="0890.jpg" o="445v" n="890"/> |
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|
4037 <pb file="0891.jpg" o="446r" n="891"/> |
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|
4038 <pb file="0892.jpg" o="446v" n="892"/> |
|
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|
4039 <pb file="0893.jpg" o="447r" n="893"/> |
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|
4040 <pb file="0894.jpg" o="447v" n="894"/> |
|
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|
4041 <pb file="0895.jpg" o="448r" n="895"/> |
|
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|
4042 <pb file="0896.jpg" o="448v" n="896"/> |
|
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|
4043 <pb file="0897.jpg" o="449r" n="897"/> |
|
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|
4044 <pb file="0898.jpg" o="449v" n="898"/> |
|
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|
4045 <pb file="0899.jpg" o="450r" n="899"/> |
|
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|
4046 <pb file="0900.jpg" o="450v" n="900"/> |
|
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|
4047 <pb file="0901.jpg" o="451r" n="901"/> |
|
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|
4048 <pb file="0902.jpg" o="451v" n="902"/> |
|
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|
4049 <pb file="0903.jpg" o="452r" n="903"/> |
|
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|
4050 <pb file="0904.jpg" o="452v" n="904"/> |
|
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|
4051 <pb file="0905.jpg" o="453r" n="905"/> |
|
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|
4052 <pb file="0906.jpg" o="453v" n="906"/> |
|
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|
4053 <pb file="0907.jpg" o="454r" n="907"/> |
|
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|
4054 <pb file="0908.jpg" o="454v" n="908"/> |
|
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|
4055 <pb file="0909.jpg" o="455r" n="909"/> |
|
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|
4056 <pb file="0910.jpg" o="455v" n="910"/> |
|
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|
4057 <pb file="0911.jpg" o="456r" n="911"/> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4058 <pb file="0912.jpg" o="456v" n="912"/> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4059 <pb file="0913.jpg" o="457r" n="913"/> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4060 <head xml:id="echoid-head51" xml:space="preserve" xml:lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4061 Pro terminis paschalibus (memoriter) <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4062 Regula mea T.H. |
|
22d6a63640c6
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diff
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|
4063 <lb/>[<emph style="it">tr: |
|
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diff
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|
4064 For the end of Passover (from memory), my rule T.H. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4065 </emph>]<lb/> |
|
22d6a63640c6
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|
4066 </head> |
|
22d6a63640c6
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|
4067 <p xml:lang="lat"> |
|
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|
4068 <s xml:id="echoid-s350" xml:space="preserve"> |
|
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|
4069 Habito termino paschali: (qui est decimaquarta <lb/> |
|
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|
4070 luna) Dominica proxime sequens est dies <lb/> |
|
22d6a63640c6
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diff
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|
4071 paschatis secundum decretum Concilij Niceni. |
|
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|
4072 <lb/>[<emph style="it">tr: |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4073 I have the end of Passover (which is fourteenth of the lunar month); the next Sunday following is Easter, |
|
22d6a63640c6
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diff
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|
4074 according to the Council of Nicea. |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4075 </emph>]<lb/> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
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|
4076 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4077 </p> |
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4078 <p xml:lang="lat"> |
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4079 <s xml:id="echoid-s351" xml:space="preserve"> |
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4080 Termini paschales |
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4081 <lb/>[<emph style="it">tr: |
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4082 End of Passover |
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4083 </emph>]<lb/> |
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4084 </s> |
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4085 </p> |
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4086 <p xml:lang="lat"> |
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4087 <s xml:id="echoid-s352" xml:space="preserve"> |
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4088 Dubella cycli solis, sive litera<emph style="super">rum</emph> Dominicalium, <lb/> |
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4089 incipiens ab anno 1600. et desinens 1627 <lb/> |
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4090 recipiet iterum anno 1628. &c. |
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4091 <lb/>[<emph style="it">tr: |
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4092 [¿?] of the solar cyle, or the letters of Sunday, beginning from the year 1600 and ending in 1627; |
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4093 beginning again in the year 1628, etc. |
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4094 </emph>]<lb/> |
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4095 </s> |
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4096 </p> |
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4097 <p xml:lang="lat"> |
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4098 <s xml:id="echoid-s353" xml:space="preserve"> |
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4099 [???] sub-<lb/> |
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4100 scripti, sunt <lb/> |
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4101 numeri cycli <lb/> |
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4102 [???] Dionysi-<lb/> |
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4103 [???] antiqum. |
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4104 </s> |
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4105 </p> |
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4106 <p xml:lang="lat"> |
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4107 <s xml:id="echoid-s354" xml:space="preserve"> |
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4108 Vide Clavium pag. 565. |
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4109 <lb/>[<emph style="it">tr: |
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4110 See Clavius, page 565. |
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4111 </emph>]<lb/> |
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4112 </s> |
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4113 </p> |
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4114 <p xml:lang="lat"> |
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4115 <s xml:id="echoid-s355" xml:space="preserve"> |
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4116 Clavius <lb/> |
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4117 pag: 589. |
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4118 <lb/>[<emph style="it">tr: |
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4119 Clavius, page 589. |
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4120 </emph>]<lb/> |
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4121 </s> |
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4122 </p> |
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4123 <pb file="0914.jpg" o="457v" n="914"/> |
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4124 <p xml:lang="lat"> |
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4125 <s xml:id="echoid-s356" xml:space="preserve"> |
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4126 Concilium Niceum. 323. |
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4127 <lb/>[<emph style="it">tr: |
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4128 Council of Nicea, 323. |
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4129 </emph>]<lb/> |
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4130 </s> |
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4131 </p> |
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4132 <p xml:lang="lat"> |
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4133 <s xml:id="echoid-s357" xml:space="preserve"> |
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|
4134 Ex clavio. 168. pag. |
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4135 <lb/>[<emph style="it">tr: |
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|
4136 From Clavius, page 168. |
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4137 </emph>]<lb/> |
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4138 </s> |
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4139 </p> |
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4140 <pb file="0915.jpg" o="458r" n="915"/> |
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|
4141 <div xml:id="echoid-div23" type="page_commentary" level="2" n="23"> |
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4142 <p> |
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4143 <s xml:id="echoid-s358" xml:space="preserve">[<emph style="it">Note: |
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4144 <p> |
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4145 <s xml:id="echoid-s358" xml:space="preserve"> |
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4146 The <emph style="it">Prutenicae tabulae</emph> or Prussian tables were compiled by Erasmus Reinhold |
|
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4147 and publsihed in 1551. |
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4148 </s> |
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4149 </p> |
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4150 </emph>] |
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|
4151 <lb/><lb/></s></p></div> |
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4152 <p xml:lang="lat"> |
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4153 <s xml:id="echoid-s360" xml:space="preserve"> |
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|
4154 Ex tab. prutenicis <lb/> |
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|
4155 in Mart: 323 |
|
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4156 <lb/>[<emph style="it">tr: |
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|
4157 From the Prutenicae tabulae, for March 323. |
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4158 </emph>]<lb/> |
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4159 </s> |
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4160 </p> |
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|
4161 <pb file="0916.jpg" o="458v" n="916"/> |
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|
4162 <head xml:id="echoid-head52" xml:space="preserve" xml:lang="lat"> |
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|
4163 Ex Clavio. pag. 109. <lb/> |
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4164 <lb/>[<emph style="it">tr: |
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|
4165 From Clavius, page 109. |
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4166 </emph>]<lb/> |
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|
4167 </head> |
|
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4168 <p xml:lang="lat"> |
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4169 <s xml:id="echoid-s361" xml:space="preserve"> |
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|
4170 Christe |
|
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4171 <lb/>[<emph style="it">tr: |
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|
4172 Christian |
|
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|
4173 </emph>]<lb/> |
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4174 </s> |
|
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|
4175 </p> |
|
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|
4176 <pb file="0917.jpg" o="459r" n="917"/> |
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|
4177 <div xml:id="echoid-div24" type="page_commentary" level="2" n="24"> |
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4178 <p> |
|
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4179 <s xml:id="echoid-s362" xml:space="preserve">[<emph style="it">Note: |
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4180 <p> |
|
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4181 <s xml:id="echoid-s362" xml:space="preserve"> |
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4182 The <emph style="it">Prutenicae tabulae</emph> or Prussian tables were compiled by Erasmus Reinhold |
|
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4183 and publsihed in 1551. |
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4184 </s> |
|
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|
4185 </p> |
|
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|
4186 </emph>] |
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4187 <lb/><lb/></s></p></div> |
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4188 <head xml:id="echoid-head53" xml:space="preserve" xml:lang="lat"> |
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|
4189 Ex Tab: prutenicis |
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4190 <lb/>[<emph style="it">tr: |
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4191 From the Prutenicae tabulae. |
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|
4192 </emph>]<lb/> |
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4193 </head> |
|
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|
4194 <pb file="0918.jpg" o="459v" n="918"/> |
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|
4195 <div xml:id="echoid-div25" type="page_commentary" level="2" n="25"> |
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|
4196 <p> |
|
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|
4197 <s xml:id="echoid-s364" xml:space="preserve">[<emph style="it">Note: |
|
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|
4198 <p> |
|
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|
4199 <s xml:id="echoid-s364" xml:space="preserve"> |
|
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|
4200 The <emph style="it">Prutenicae tabulae</emph> or Prussian tables were compiled by Erasmus Reinhold |
|
22d6a63640c6
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|
4201 and publsihed in 1551. |
|
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|
4202 </s> |
|
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|
4203 </p> |
|
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|
4204 </emph>] |
|
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|
4205 <lb/><lb/></s></p></div> |
|
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|
4206 <head xml:id="echoid-head54" xml:space="preserve" xml:lang="lat"> |
|
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|
4207 Ex Tab: prutenicis |
|
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|
4208 <lb/>[<emph style="it">tr: |
|
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|
4209 From the Prutenicae tabulae. |
|
22d6a63640c6
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|
4210 </emph>]<lb/> |
|
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|
4211 </head> |
|
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|
4212 <pb file="0919.jpg" o="460r" n="919"/> |
|
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|
4213 <pb file="0920.jpg" o="460v" n="920"/> |
|
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|
4214 <div xml:id="echoid-div26" type="page_commentary" level="2" n="26"> |
|
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|
4215 <p> |
|
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|
4216 <s xml:id="echoid-s366" xml:space="preserve">[<emph style="it">Note: |
|
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|
4217 <p> |
|
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|
4218 <s xml:id="echoid-s366" xml:space="preserve"> |
|
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|
4219 The <emph style="it">Prutenicae tabulae</emph> or Prussian tables were compiled by Erasmus Reinhold |
|
22d6a63640c6
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|
4220 and publsihed in 1551. |
|
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|
4221 </s> |
|
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|
4222 </p> |
|
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|
4223 </emph>] |
|
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|
4224 <lb/><lb/></s></p></div> |
|
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|
4225 <head xml:id="echoid-head55" xml:space="preserve" xml:lang="lat"> |
|
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|
4226 Ex Tab: prutenicis |
|
22d6a63640c6
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|
4227 <lb/>[<emph style="it">tr: |
|
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|
4228 From the Prutenicae tabulae. |
|
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|
4229 </emph>]<lb/> |
|
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|
4230 </head> |
|
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|
4231 <pb file="0921.jpg" o="461r" n="921"/> |
|
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|
4232 <pb file="0922.jpg" o="461v" n="922"/> |
|
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|
4233 <pb file="0923.jpg" o="462r" n="923"/> |
|
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|
4234 <pb file="0924.jpg" o="462v" n="924"/> |
|
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|
4235 <div xml:id="echoid-div27" type="page_commentary" level="2" n="27"> |
|
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|
4236 <p> |
|
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|
4237 <s xml:id="echoid-s368" xml:space="preserve">[<emph style="it">Note: |
|
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|
4238 <p> |
|
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|
4239 <s xml:id="echoid-s368" xml:space="preserve"> |
|
22d6a63640c6
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|
4240 The <emph style="it">Prutenicae tabulae</emph> or Prussian tables were compiled by Erasmus Reinhold |
|
22d6a63640c6
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|
4241 and publsihed in 1551. |
|
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|
4242 </s> |
|
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|
4243 </p> |
|
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|
4244 </emph>] |
|
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|
4245 <lb/><lb/></s></p></div> |
|
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|
4246 <head xml:id="echoid-head56" xml:space="preserve" xml:lang="lat"> |
|
22d6a63640c6
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|
4247 Ex tab: prutenicis |
|
22d6a63640c6
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|
4248 <lb/>[<emph style="it">tr: |
|
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|
4249 From the Prutenicae tabulae. |
|
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|
4250 </emph>]<lb/> |
|
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|
4251 </head> |
|
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|
4252 <pb file="0925.jpg" o="463r" n="925"/> |
|
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|
4253 <pb file="0926.jpg" o="463v" n="926"/> |
|
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|
4254 <head xml:id="echoid-head57" xml:space="preserve"> |
|
22d6a63640c6
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4255 Kepl. pag. 333. |
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4256 </head> |
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4257 <pb file="0927.jpg" o="464r" n="927"/> |
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4258 <pb file="0928.jpg" o="464v" n="928"/> |
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4259 <head xml:id="echoid-head58" xml:space="preserve" xml:lang="lat"> |
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4260 De Motu. Kepler. pag. 333. <lb/> |
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4261 Ægip: annus motus aphelij. |
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4262 </head> |
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4263 <pb file="0929.jpg" o="465r" n="929"/> |
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4264 <pb file="0930.jpg" o="465v" n="930"/> |
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4265 <head xml:id="echoid-head59" xml:space="preserve" xml:lang="lat"> |
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4266 De Mot. Kepler. pag. 333. |
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4267 </head> |
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4268 <pb file="0931.jpg" o="466r" n="931"/> |
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4269 <pb file="0932.jpg" o="466v" n="932"/> |
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4270 <pb file="0933.jpg" o="467r" n="933"/> |
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4271 <pb file="0934.jpg" o="467v" n="934"/> |
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4272 <pb file="0935.jpg" o="468r" n="935"/> |
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4273 <pb file="0936.jpg" o="468v" n="936"/> |
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4274 <pb file="0937.jpg" o="469r" n="937"/> |
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4275 <pb file="0938.jpg" o="469v" n="938"/> |
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4276 <pb file="0939.jpg" o="470r" n="939"/> |
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4277 <pb file="0940.jpg" o="470v" n="940"/> |
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4278 <pb file="0941.jpg" o="471r" n="941"/> |
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4279 <pb file="0942.jpg" o="471v" n="942"/> |
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4280 <pb file="0943.jpg" o="472r" n="943"/> |
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4281 <pb file="0944.jpg" o="472v" n="944"/> |
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4282 <pb file="0945.jpg" o="473r" n="945"/> |
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4283 <pb file="0946.jpg" o="473v" n="946"/> |
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4284 <pb file="0947.jpg" o="474r" n="947"/> |
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4285 <pb file="0948.jpg" o="474v" n="948"/> |
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4286 <pb file="0949.jpg" o="475r" n="949"/> |
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4287 <pb file="0950.jpg" o="475v" n="950"/> |
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4288 <pb file="0951.jpg" o="476r" n="951"/> |
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4289 <pb file="0952.jpg" o="476v" n="952"/> |
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4290 <pb file="0953.jpg" o="478r" n="953"/> |
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4291 <pb file="0954.jpg" o="478v" n="954"/> |
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4292 <pb file="0955.jpg" o="479r" n="955"/> |
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4293 <pb file="0956.jpg" o="479v" n="956"/> |
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4294 <pb file="0957.jpg" o="480r" n="957"/> |
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4295 <pb file="0958.jpg" o="480v" n="958"/> |
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4296 <pb file="0959.jpg" o="481r" n="959"/> |
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4297 <pb file="0960.jpg" o="481v" n="960"/> |
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4298 <pb file="0961.jpg" o="482r" n="961"/> |
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4299 <pb file="0962.jpg" o="482v" n="962"/> |
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4300 <pb file="0963.jpg" o="483r" n="963"/> |
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4301 <pb file="0964.jpg" o="483v" n="964"/> |
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4302 <pb file="0965.jpg" o="484-1r" n="965"/> |
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4303 <pb file="0966.jpg" o="484-1v" n="966"/> |
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4304 <pb file="0967.jpg" o="484r" n="967"/> |
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4305 <pb file="0968.jpg" o="484v" n="968"/> |
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4306 <pb file="0969.jpg" o="485r" n="969"/> |
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4307 <head xml:id="echoid-head60" xml:space="preserve"> |
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4308 1. Some remembrances of taking <emph style="super">the</emph> altitude of sonne <lb/> |
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4309 by the Astrolabe and Sea Rings. |
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4310 </head> |
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4311 <p> |
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4312 <s xml:id="echoid-s370" xml:space="preserve"> |
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4313 There are three instruments used at sea for taking of altitude, the <lb/> |
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4314 Astrolabe, The ring, & the staffe. <emph style="st">Seamen use the Astrolabe</emph> The <lb/> |
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4315 Astolabe hath here most ancient & is used commonly & only for the <lb/> |
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4316 sonne; and serveth the seamans turne most specially when the sonne is <lb/> |
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4317 [???] becuase then they <emph style="st">if the</emph> find the staffe very uncertayne. And when <lb/> |
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4318 the sea is wrought it is very hard to make any observation by it <lb/> |
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4319 also; because of his agitation & unquiet guaging. |
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4320 </s> |
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4321 </p> |
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4322 <p> |
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4323 <s xml:id="echoid-s371" xml:space="preserve"> |
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4324 But howsoever when there is need you must do as well as you may. <lb/> |
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4325 and therefore when you have your Astrolabe guaging as quietly as the time <lb/> |
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4326 will permit with his side toward the sonne according to the usual order, <lb/> |
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4327 you are to fit the Judex by moving it so long up & downe till the former <lb/> |
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4328 shine thourough the holes of both the sights at the same time. Or you finding by reason <lb/> |
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4329 of his agitation that the sonne will not passe iustly thourough the lower sights but be <lb/> |
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4330 <emph style="st">[???]</emph> sometme higher & sometime lower. where you finde the lyst of the syghts <lb/> |
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4331 now as much over as under: then your Judex standeth as precisely as if the <lb/> |
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4332 Astrolabe had hong quietly; & sheweth the true altitude of the center of the sonne. |
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4333 </s> |
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4334 </p> |
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4335 <p> |
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4336 <s xml:id="echoid-s372" xml:space="preserve"> |
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4337 But if you doubt of the true guaging of the AStrolabe, you may move <lb/> |
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4338 your Judex quickly to the same signe on the other side & hold it towards the sonne. <lb/> |
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4339 If you find the sonne shine thourough as before your Astrolabe hangeth well. <lb/> |
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4340 Otherwise you are also to move <emph style="st">your</emph> <emph style="super">the</emph> Judex, |
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4341 till you have also the altitude on <lb/> |
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4342 that side. Which had, compare with the other & note the difference. The half of that <lb/> |
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4343 difference added to the lesse altitude or detract from the greater; And you have <lb/> |
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4344 the altitude of the sonne as exacte as if your Astrolabe had hung truly upright. |
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4345 </s> |
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4346 </p> |
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4347 <p> |
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4348 <s xml:id="echoid-s373" xml:space="preserve"> |
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4349 The other instrument called <emph style="super">Sea Ring</emph> is of late yeares in great use with the <lb/> |
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4350 Portingalls & Spaniards, The making whereof & use they had about 40 <lb/> |
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4351 yeares <emph style="super">past</emph> of a country man of their owne a learned mathematician called <lb/> |
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4352 Petrus Nonius who also hath written [???] of the arte of Navigating <lb/> |
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4353 as well in Latin as in Spanish. And is only for taking the altitude of the <lb/> |
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4354 sonne as the Astrolabe. but for ease & space it much excelleth it <lb/> |
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4355 as also for exactnesse. for the degrees are as large agayne as in an <lb/> |
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4356 Astrolabe of the same signes. And in the use, there is no <emph style="st">noe</emph> troublesome <lb/> |
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4357 moving up & downe any Judex as in an Astrolabe; but it guaging as the <lb/> |
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4358 Astrolabe, <emph style="st">the</emph> & that side which hath a small pole |
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4359 <emph style="super">be of</emph> bing holden towards <lb/> |
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4360 the sonne; the light passing <emph style="st">thh</emph> thourough |
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4361 <emph style="super">presently</emph> sheweth upon the degrees noted <lb/> |
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4362 within the ring the altitude of the sonne you desire. you are to note <lb/> |
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4363 that the middle of the light be it round or long is your true marke. <lb/> |
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4364 And if the light play by reason of his unquiet hanging; then the <lb/> |
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4365 middle of the play is the <emph style="st">th</emph> hight. This instrument is continued <lb/> |
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4366 together for your use the last viadge with the Astrolabe , And upon your <lb/> |
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4367 returne it was geven to your servant Cap. Whidden, who now <emph style="st">hath</emph> <lb/> |
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4368 also hath it redy for your use. By our last practice <emph style="st">[???]</emph> I <lb/> |
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4369 found <emph style="super">it</emph> much lighter then it ought to be, which is a fault also in all <lb/> |
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4370 the Astrolabes I have seene. By reason of your |
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4371 <emph style="st">[???]</emph> speedy <emph style="st">setting</emph> <lb/> |
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4372 setting forth it cnnot more be remedied; but is to be used as conveni- |
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4373 </s> |
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4374 </p> |
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4375 <pb file="0970.jpg" o="485v" n="970"/> |
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4376 <p> |
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4377 <s xml:id="echoid-s374" xml:space="preserve"> |
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4378 niently as it may & the inconvenience <emph style="st">shall supply</emph> I will <lb/> |
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4379 there fore shall be <emph style="st">supply &</emph> <emph style="super">[???]</emph> |
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4380 by the staffe in the next charte. |
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4381 </s> |
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4382 </p> |
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4383 <pb file="0971.jpg" o="486r" n="971"/> |
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4384 <head xml:id="echoid-head61" xml:space="preserve"> |
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4385 1. <lb/> |
|
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4386 2. Of taking of altitudes of the sonne or <emph style="st">starre</emph> any <lb/> |
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4387 starre by the corsse staffe with more exactness <lb/> |
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4388 then hath ben used heretofore. |
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4389 </head> |
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4390 <p> |
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4391 <s xml:id="echoid-s375" xml:space="preserve"> |
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4392 The <emph style="super">crosse</emph> staffe is <emph style="st">is</emph> |
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4393 the other instrument well knowne & used at sea <lb/> |
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4394 <emph style="st">but</emph> <emph style="super">and</emph> especially of starres. |
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4395 But as is <emph style="st">it used</emph> hath ben used heretofore the <lb/> |
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4396 seamasters commit great errors then sometimes they are aware of <lb/> |
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4397 from which errors if it be purged it is then of more apte & certayne use <lb/> |
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4398 also for the sonne then ether the Astrolabe or Ring which I meane in <lb/> |
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|
4399 this chapter to shew. |
|
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4400 </s> |
|
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|
4401 </p> |
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|
4402 <p> |
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4403 <s xml:id="echoid-s376" xml:space="preserve"> |
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|
4404 The staffe is devided with presuppose that the end thereof in |
|
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4405 <emph style="st">use</emph> <emph style="super">observing</emph> should <lb/> |
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|
4406 stand in the center of the sight. And though that cannot be performed, yet <lb/> |
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4407 the common practiser thinketh there is little errour in putting of it <lb/> |
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4408 close under <emph style="st">the</emph> <emph style="super">that</emph> ey they behold withall: |
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4409 some <emph style="st">under</emph> on the utmost corner of <lb/> |
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4410 that ey: some on the cheke bone: <emph style="st">&</emph> <emph style="super">&</emph> |
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4411 some on one side of the <emph style="st">nose</emph> <emph style="st">brid</emph> bridge of the nose. <lb/> |
|
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4412 All which placinges to some eyes, sometimes in some manner of observinges, <lb/> |
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4413 may prove true; & for the utmost corner of the ey to some |
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4414 <emph style="st">unproportioned</emph> eyes, alwayes. |
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4415 </s> |
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|
4416 </p> |
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|
4417 <p> |
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4418 <s xml:id="echoid-s377" xml:space="preserve"> |
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|
4419 But all <emph style="st">eyes</emph> men that have not a seat for the staffe iust agaynst the center <lb/> |
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4420 of the sight, as most men have not, must needs find a full altitude still <lb/> |
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|
4421 & <emph style="st">especially</emph> in great altitudes the errour wilbe so |
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4422 <emph style="st">great</emph> <emph style="super">palpable</emph> as that it cannot <lb/> |
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4423 be borne withall, without artificiall correction; meaning allowance or <lb/> |
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4424 abatement, which hitherto have not ben made. And wher the seamen have <lb/> |
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4425 espied it <emph style="st">by</emph> ether by great difference from there recconings, or comparison with <lb/> |
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4426 there Astrolabe; for such great altitudes they geve over the staffe. |
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4427 </s> |
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4428 </p> |
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4429 <p> |
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4430 <s xml:id="echoid-s378" xml:space="preserve"> |
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4431 How this errour may be knowne & reformed I have demonstrated & taught <lb/> |
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4432 11 yeares past in my booke called Arcticon. Now only I will remember unto <lb/> |
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4433 you out of the same, that which I shewed you sometime to fore & sufficient for <lb/> |
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4434 your use. |
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4435 </s> |
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4436 </p> |
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4437 <p> |
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4438 <s xml:id="echoid-s379" xml:space="preserve"> |
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4439 The best place to set the end of your staffe is the utmost corner of the seat <lb/> |
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4440 of that ey which you mind to behold withall. because that place is firme & <lb/> |
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4441 certayne without offense to the eye. <lb/> |
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4442 And then how farre the end of <emph style="st">[???]</emph> <emph style="super">the</emph> |
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4443 staffe doth stand <emph style="st">from</emph> <emph style="super">behind</emph> the center of your <lb/> |
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4444 sight according as it hath ben already observed |
|
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4445 <emph style="st">when by yourself</emph> by a staffe <lb/> |
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4446 I have for the purpose: I have marked in a spare place of <emph style="st">these</emph> both your <lb/> |
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4447 staves nere the note of 90 degrees. |
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4448 <emph style="super">Betwixt two parallel lines.</emph> |
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4449 And the same quantity I have found <lb/> |
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4450 to be in Cap. Whiddous; in Douglas the masters; & many more |
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4451 <emph style="super">[???]</emph> else, as in yours <lb/> |
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4452 & mine. The which quantity hereafter for brevity & order sake according to <lb/> |
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4453 the nature of the thing I call the <emph style="st">per</emph> excentricity of the staffe. |
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4454 </s> |
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4455 </p> |
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4456 <p> |
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4457 <s xml:id="echoid-s380" xml:space="preserve"> |
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4458 The use of it is this: when you have according to the usuall manner <lb/> |
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4459 taken the sight of the sonne or starre & noted the place where the crosee stand <lb/> |
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4460 <emph style="st">you are to remove him further from you & by such a quantity as the excentri-</emph> <lb/> |
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4461 <emph style="st">city, which you may do by a pyre of compasses</emph> you are to consider what <lb/> |
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4462 sight that wilbe which is further from the ey by the quantity of the excentricity <lb/> |
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4463 which you may knowe by the helpe of a payre of compasses, <emph style="st">[???]</emph> & doth <lb/> |
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4464 alwayes make it lesse then the former. And that sight or altitude is <lb/> |
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4465 as true as if the end of your staffe did stand in the center of your sight. |
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4466 </s> |
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4467 </p> |
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4468 <pb file="0972.jpg" o="486v" n="972"/> |
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4469 <pb file="0973.jpg" o="487r" n="973"/> |
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4470 <head xml:id="echoid-head62" xml:space="preserve"> |
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|
4471 2. |
|
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4472 </head> |
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4473 <p> |
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4474 <s xml:id="echoid-s381" xml:space="preserve"> |
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4475 or else you may note the altitude as you find it <emph style="st">first by</emph> by the <lb/> |
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4476 place of the crosse at first; & after set downe so much <emph style="st">as a</emph> in degrees <lb/> |
|
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4477 or minutes as <emph style="st">it is</emph> |
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4478 from the place of the crosse answereth to the <emph style="st">qua</emph> quantity <lb/> |
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4479 of the excentricity, which hereafter is called the parallaxis of the staffe; <lb/> |
|
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4480 to remayne to be abated with some other things as shalbe taught <lb/> |
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|
4481 after. |
|
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|
4482 </s> |
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4483 </p> |
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4484 <p> |
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4485 <s xml:id="echoid-s382" xml:space="preserve"> |
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|
4486 If to the prime end of the staffe that is to say the end which is next the <lb/> |
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4487 eye nere ioyned a peece of wood of the length of the excentricity the use <lb/> |
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4488 wold now be somewhat reddier for your owne ey without removing the crosse <lb/> |
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4489 any otherwise then in the observation, or further consideration of <emph style="super">the staffes</emph> parallaxis. |
|
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|
4490 </s> |
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|
4491 </p> |
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|
4492 <p> |
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4493 <s xml:id="echoid-s383" xml:space="preserve"> |
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|
4494 There is yet an other thing to be noted in observing of altitude by the <lb/> |
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|
4495 staffe. The seamen use comonly to leave the horison open in |
|
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|
4496 <emph style="st">the observation</emph> <emph style="super">observing</emph>, <lb/> |
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|
4497 which in deed were good if they know how much, but because of the uncertayne <lb/> |
|
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|
4498 coniecture they may make greater greater error then is fit to be permitted. <lb/> |
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4499 They have the practice by tradition from one to the other. The reason thereof they <lb/> |
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4500 told none in there writings, nether being demanded to they answere <lb/> |
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4501 any otherwise then that not doing so, the altitude wold not be true, nor <lb/> |
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|
4502 agree with the Astrolabe. Which without doubt have ben found by comparing <lb/> |
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|
4503 the staffe & the Astrolabe to gether. |
|
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|
4504 </s> |
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|
4505 </p> |
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4506 <p> |
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4507 <s xml:id="echoid-s384" xml:space="preserve"> |
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4508 By truth of demonstration which I have uttered in my Arcticon, which <lb/> |
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4509 here for brevity sake I omit. I have proved that the ey being above the <lb/> |
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4510 levell of the water at sea, doth see more then half the heavens. And therefore <lb/> |
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4511 from the zenith or highest poynt above our heads to the apparent horizon is <lb/> |
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4512 more then 90 degrees. And that surplus is the greater, according as the <lb/> |
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4513 ey is above the levell of the water. And therefore any high that is <lb/> |
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4514 taken by the staffe close, because it hath respecte to the visible horizon, is <lb/> |
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4515 greater then from the true horizon of the world. |
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4516 </s> |
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4517 </p> |
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4518 <p> |
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4519 <s xml:id="echoid-s385" xml:space="preserve"> |
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4520 Yet notwithstanding it is the surest way in using the staffe to take the <lb/> |
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4521 altitude close from the Horizon, because of the uncertayen opening that the <lb/> |
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4522 Mariners leave. Which altitude without respecte of parallaxis I call <lb/> |
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4523 the Apparent altitude. And then the surplus with the parallaxis <emph style="super">is</emph> together <lb/> |
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4524 are to be abated to make the true altitude desired. |
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4525 </s> |
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4526 </p> |
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4527 <p> |
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4528 <s xml:id="echoid-s386" xml:space="preserve"> |
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4529 The quantity of which surplus I have set downe in a litle speciall <lb/> |
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4530 table here following according to the sondry distances of the ey from <lb/> |
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4531 the levell of the water. |
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4532 </s> |
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4533 </p> |
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4534 <p> |
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4535 <s xml:id="echoid-s387" xml:space="preserve"> |
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4536 As when the ey is one pase that is 5 foote from the levell of the water, then the <lb/> |
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4537 abatement is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>3</mn><mo>ʹ</mo></mstyle></math>. when 2 pases then <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>4</mn><mo>ʹ</mo></mstyle></math> & so forth as in the table. <lb/> |
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4538 Upon the poope of a tall ship the hight of the ey comonly is 4 or 5 pases & <lb/> |
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4539 then your abatement is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>5</mn><mo>ʹ</mo></mstyle></math> or <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>6</mn><mo>ʹ</mo></mstyle></math>. Upon the decke in the waste <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>5</mn><mo>ʹ</mo></mstyle></math>. & at the <lb/> |
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4540 cheynes <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>4</mn><mo>ʹ</mo></mstyle></math> wilbe the abatement, which by triall with the load & line you may <lb/> |
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4541 find. |
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4542 </s> |
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4543 </p> |
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4544 <p> |
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4545 <s xml:id="echoid-s388" xml:space="preserve"> |
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4546 And this you ought generally to note that whensoever you observe <lb/> |
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4547 with the staffe, you make good your high, iust when your ship is <lb/> |
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4548 on the top of the surge of <emph style="super">the</emph> sea, otherwise you may err. |
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4549 </s> |
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4550 </p> |
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4551 <pb file="0974.jpg" o="487v" n="974"/> |
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4552 <pb file="0975.jpg" o="488r" n="975"/> |
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4553 <head xml:id="echoid-head63" xml:space="preserve"> |
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4554 3. |
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4555 </head> |
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4556 <p> |
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4557 <s xml:id="echoid-s389" xml:space="preserve"> |
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4558 Hight of the <lb/> |
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4559 ey above the <lb/> |
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4560 water in <lb/> |
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4561 pases. |
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4562 </s> |
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4563 </p> |
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4564 <p> |
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4565 <s xml:id="echoid-s390" xml:space="preserve"> |
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4566 Surplus of <lb/> |
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4567 the Horizon <lb/> |
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|
4568 in minuts. |
|
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4569 </s> |
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4570 </p> |
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|
4571 <p> |
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4572 <s xml:id="echoid-s391" xml:space="preserve"> |
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|
4573 those thinges being regarded which I have specifyed concerning <lb/> |
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|
4574 the staffe: you may henceforward make as true observations as need to <lb/> |
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|
4575 be: the starre or sonne being of any hight. |
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4576 <emph style="st">Which before</emph> <emph style="super">Heretofore</emph> the |
|
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|
4577 <emph style="st">seamaster</emph> <lb/> |
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|
4578 <emph style="st">ship</emph> seamaster durst not to trust to the altitude of the sonne or starre <lb/> |
|
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|
4579 being 60 degrees & upward. because of the difference from the Astrolabe, <lb/> |
|
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|
4580 imputing the error to the uncertenty in beholding; when as in deed they <lb/> |
|
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|
4581 know not the abatement I before spake of. the parallaxis & surplus <lb/> |
|
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|
4582 & that is the cause <emph style="super">also</emph> |
|
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|
4583 of there experimental opening of <emph style="super">the</emph> Horizon. <lb/> |
|
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|
4584 And although the error about 30 degrees |
|
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|
4585 <emph style="super">in stars of ordinary [???] be</emph> |
|
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|
4586 <emph style="st">be but [???] as al</emph> no great <lb/> |
|
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|
4587 matter of some <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>1</mn><mn>0</mn><mo>ʹ</mo></mstyle></math> or there aboute, yet in the hight of 60 & upward it <lb/> |
|
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|
4588 amounteth to <emph style="ul">nere a degree, & more</emph>. In starres of the largest size <lb/> |
|
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|
4589 the error was the lesse; but now by reason of the former correction, the <lb/> |
|
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4590 longer & shorter sorte will agree. |
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4591 </s> |
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4592 </p> |
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4593 <p> |
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4594 <s xml:id="echoid-s392" xml:space="preserve"> |
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4595 ffor taking the sonnes high also by the staffe I thinke good also to <lb/> |
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4596 prescribe uncertenty, & to remember unto you the meanes for it <lb/> |
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4597 may be done without offense to the ey. |
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4598 </s> |
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4599 </p> |
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4600 <p> |
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4601 <s xml:id="echoid-s393" xml:space="preserve"> |
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4602 Those men that set a glasse at the end of there staffe or end of the crosse <lb/> |
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4603 do <emph style="st">[???]</emph> <emph style="super">subiect them selves to</emph> |
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4604 error. It is manifest without any further reason by a common <lb/> |
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4605 experiment of looking thorugh glasse windows, that the thinges seene <lb/> |
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4606 thourough, are seen distorted, <emph style="super">or</emph> out of there <emph style="super">true</emph> places, |
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4607 by reason of refraction <lb/> |
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4608 of the visuall beames in the <emph style="st">[???]</emph> arte of optickes demonstratively appro-<lb/> |
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4609 ved. Therefore such meanes I wish to be left. |
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4610 </s> |
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4611 </p> |
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4612 <p> |
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4613 <s xml:id="echoid-s394" xml:space="preserve"> |
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4614 The best way that I can præscribe, which some do also use, is to take the high of <lb/> |
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4615 the upper edge of the sonne, hiding the whole body with the breadth of the crosse: <lb/> |
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4616 And when you have don, to abate 16 minuts; because the diameter or breadth <lb/> |
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4617 of the <emph style="st">sonne</emph> sonne is <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>3</mn><mn>2</mn><mo>ʹ</mo></mstyle></math>. and then you have the hight of the center of the <lb/> |
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4618 sonne which you ought to have. |
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4619 </s> |
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4620 </p> |
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4621 <pb file="0976.jpg" o="488v" n="976"/> |
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4622 <pb file="0977.jpg" o="489r" n="977"/> |
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4623 <head xml:id="echoid-head64" xml:space="preserve"> |
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4624 4. |
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4625 </head> |
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4626 <p> |
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4627 <s xml:id="echoid-s395" xml:space="preserve"> |
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4628 And this you may do without offendinge the ey, if you be wary. In the <lb/> |
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4629 beginning of your observation first hide the sonne with the crosse & so keep <lb/> |
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4630 him hidden with the orderly moving of your body & hand answerable to the <lb/> |
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4631 surge of the sea, & you bring him downe by litle & litle till you se only the <lb/> |
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4632 edge of the sonne; & if you see the other end of the crosse upon quick sight <lb/> |
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4633 close with the Horizon, it is well. Otherwise you must pull to or put from the <lb/> |
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4634 crosse untill you find that agreement. |
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4635 </s> |
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4636 </p> |
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4637 <p> |
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4638 <s xml:id="echoid-s396" xml:space="preserve"> |
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4639 The summe of all <emph style="st">is this</emph> in taking altitudes by the staffe is <lb/> |
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4640 this. |
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4641 ffirst take the altitude close from the Horizon & that is called <lb/> |
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4642 the Apparent altitude. |
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4643 ffrom it abate two thinges that is the parallaxis of the staffe & the <lb/> |
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4644 surplus of the Horizon. The remaynder is the true hight <lb/> |
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4645 of the starre. |
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4646 </s> |
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4647 </p> |
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4648 <p> |
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4649 <s xml:id="echoid-s397" xml:space="preserve"> |
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4650 But if you take the higher edge of the sonne you must abate <lb/> |
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4651 16 minuts more & <emph style="super">then</emph> you have the true altitude desired. <lb/> |
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4652 <emph style="super">Examples of the premisses you shall have |
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|
4653 in the chapters of taking the altitudes of the pole.</emph> <lb/> |
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4654 <emph style="st">There is yet is yet the altitude</emph> |
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4655 </s> |
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4656 </p> |
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4657 <p> |
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4658 <s xml:id="echoid-s398" xml:space="preserve"> |
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4659 If absolute exacteness were to be required then it is yet to be addded <lb/> |
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4660 to the <emph style="super">altitude of the</emph> sonne two thinges, that is to say his parallaxis of altitude, <lb/> |
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4661 & angle of refraction caused by the <emph style="st">ayre</emph> highest superficies of <lb/> |
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|
4662 the ayre: And to the altitude of the starre only the angle of <lb/> |
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|
4663 refraction. but because in your voyadge they amount not <lb/> |
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4664 ether one or both <emph style="st">not</emph> to 3 <emph style="st">[???]</emph> minuts |
|
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4665 <emph style="super">when most</emph>, I leave them for <lb/> |
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4666 other place & time to be uttered. |
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4667 </s> |
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4668 </p> |
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4669 <pb file="0978.jpg" o="489v" n="978"/> |
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4670 <pb file="0979.jpg" o="490r" n="979"/> |
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4671 <head xml:id="echoid-head65" xml:space="preserve"> |
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|
4672 Three sea marriadges |
|
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|
4673 </head> |
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|
4674 <p> |
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|
4675 <s xml:id="echoid-s399" xml:space="preserve"> |
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4676 <emph style="st">Many marriadges do I prefer to</emph> <lb/> |
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4677 These <emph style="super">new</emph> marriadges here are made <lb/> |
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4678 one of <emph style="super">the</emph> staffe & <emph style="super">sea</emph> Astrolabe <lb/> |
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4679 <emph style="st">card & compasse is another</emph> <lb/> |
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4680 <emph style="st">one is siter tother a brother</emph> <lb/> |
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4681 Of <emph style="super">the</emph> sonne & starres is an other <lb/> |
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4682 Which now agree like sister & brother. <lb/> |
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4683 And charde & compasse which now at late <lb/> |
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4684 <emph style="st">May</emph> Will now agree like & master & mate. <lb/> |
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4685 If you use them well in <emph style="super">this</emph> your iourney <lb/> |
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4686 They will <emph style="st">make you a letter of</emph> |
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4687 <emph style="super">be the King of Spaynes</emph> Atorney <lb/> |
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4688 To <emph style="st">take up</emph> <emph style="super">bring you to</emph> silver & Indian gold <lb/> |
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4689 Which will keep you <emph style="super">in age</emph> from hunger & cold <lb/> |
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4690 God speed you well & send you fayre wether <lb/> |
|
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4691 And that agayne we may meet to gether. |
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4692 </s> |
|
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4693 </p> |
|
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4694 <p> |
|
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4695 <s xml:id="echoid-s400" xml:space="preserve"> |
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4696 to teach. And Nonius himself if he had been an observer & practiser of the [???] <lb/> |
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4697 <emph style="super">ether at sea or land</emph> wold quickly have found many incombrances & inconveniences <lb/> |
|
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4698 besides teh difficultyes & insufficientyes in observinge the meanes whence <lb/> |
|
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4699 the conclusions are sought. |
|
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|
4700 </s> |
|
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|
4701 </p> |
|
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4702 <pb file="0980.jpg" o="490v" n="980"/> |
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4703 <head xml:id="echoid-head66" xml:space="preserve"> |
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4704 A table of the sonnes orientall and occidentall <lb/> |
|
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|
4705 Amplitude: |
|
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4706 </head> |
|
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4707 <p> |
|
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4708 <s xml:id="echoid-s401" xml:space="preserve"> |
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4709 That is <emph style="st">to say</emph>: How much the sonne which riseth from <lb/> |
|
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4710 true east & west, <emph style="super">in degrees & minuts</emph> |
|
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4711 <emph style="st">in any observaiton of the pole under</emph> <lb/> |
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4712 <emph style="st">55 degrees &</emph> acccording to any |
|
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4713 <emph style="super">degrees of his</emph> declination & for any <lb/> |
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|
4714 observation of the pole to 54 degrees. |
|
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|
4715 </s> |
|
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|
4716 </p> |
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|
4717 <p> |
|
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4718 <s xml:id="echoid-s402" xml:space="preserve"> |
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|
4719 Whose use is speciall for to find the variation of <lb/> |
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|
4720 the compasse. |
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|
4721 </s> |
|
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|
4722 </p> |
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|
4723 <p> |
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4724 <s xml:id="echoid-s403" xml:space="preserve"> |
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|
4725 The figures that are written with red inke are the differences <lb/> |
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|
4726 in minutes from the next two amplitudes they stand betweene; <lb/> |
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|
4727 under & over, or on ether side. |
|
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|
4728 </s> |
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|
4729 </p> |
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4730 <head xml:id="echoid-head67" xml:space="preserve"> |
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|
4731 Here followeth A Table called <lb/> |
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|
4732 The Sonnes Regiment. |
|
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|
4733 </head> |
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|
4734 <p> |
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|
4735 <s xml:id="echoid-s404" xml:space="preserve"> |
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|
4736 Conteyning the declination of the sonne for every <lb/> |
|
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|
4737 day of any month without a minute error untill the yeare <lb/> |
|
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|
4738 of <emph style="super">Christe</emph> 1620. Made & calculated |
|
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|
4739 <emph style="st">for the [???]</emph> perticulerly <lb/> |
|
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|
4740 for the Meridian of the west of England, according to <lb/> |
|
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|
4741 late precise observations. And by proportion will serve <lb/> |
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|
4742 for all the worlde. |
|
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|
4743 </s> |
|
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|
4744 </p> |
|
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|
4745 <p> |
|
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|
4746 <s xml:id="echoid-s405" xml:space="preserve"> |
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|
4747 The figures written with red ink, the minutes of difference <lb/> |
|
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|
4748 of one dayes declination from another: or how much the sonne <lb/> |
|
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|
4749 moveth in declination in the space of 24 houres. |
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|
4750 </s> |
|
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|
4751 </p> |
|
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|
4752 <p> |
|
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|
4753 <s xml:id="echoid-s406" xml:space="preserve"> |
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|
4754 Degrees of the poles Elevation. |
|
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|
4755 </s> |
|
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|
4756 </p> |
|
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|
4757 <pb file="0981.jpg" o="491r" n="981"/> |
|
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|
4758 <head xml:id="echoid-head68" xml:space="preserve"> |
|
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|
4759 How to know your course to sayle to any place assigned; & in sayling <lb/> |
|
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|
4760 to <emph style="st">keep to</emph> make true recconing |
|
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|
4761 <emph style="super">to find</emph> where you are at any time; & <lb/> |
|
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|
4762 how farre from any place desired. |
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4763 </head> |
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4764 <p> |
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4765 <s xml:id="echoid-s407" xml:space="preserve"> |
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4766 In the art of Navigation it is præsupposed that <emph style="super">all</emph> plottes & sea chartes have <lb/> |
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4767 the costes, Islands <emph style="super">portes</emph> and other |
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4768 <emph style="super">such</emph> places in them described & situated proportionally <lb/> |
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4769 and answerable to those <emph style="st">thinges</emph> <emph style="super">places</emph> they represent. |
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4770 <emph style="st">as well for magnitude</emph> <lb/> |
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4771 <emph style="st">& forme as true course & distance</emph> |
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4772 as well for true course & distance <lb/> |
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4773 as <emph style="super">forme &</emph> magnitude <emph style="st"/> & forme. |
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4774 So that those places that have <lb/> |
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4775 one latitude or altitude of the pole, stand in a true east & west <lb/> |
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4776 course; & those that <emph style="st">are in</emph> <emph style="super">have</emph> one meridian, |
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4777 stand in a <emph style="super">true</emph> North & south <lb/> |
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4778 course; & so per consequence all the <emph style="st">mid</emph> other meane courses <lb/> |
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4779 in the chartes signified, must be understoode to be according & <lb/> |
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4780 answerable to the true <emph style="super">ppoyntes of the</emph> compasse, <lb/> |
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4781 & not to <emph style="super">those of</emph> the common or any compasse <lb/> |
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4782 else that have variation. But if the compasse vary; by recconing <lb/> |
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4783 in sayling, allowance or abatement is to be made that the true <lb/> |
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4784 course may be knowne; else shall you be sure to misse your poste <lb/> |
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4785 or place desired. |
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4786 </s> |
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4787 </p> |
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4788 <p> |
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4789 <s xml:id="echoid-s408" xml:space="preserve"> |
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4790 And if in <emph style="super">making of</emph> chartes such respects be not had; but that places be <lb/> |
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|
4791 set downe by the common compasse, or other compasses as <lb/> |
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4792 they be found, <emph style="st">then where the compasse [???]</emph> <lb/> |
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4793 <emph style="super">without</emph> respect to there variation; then where the compasses do <lb/> |
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4794 vary, there do places stand out of there true latitudes |
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4795 <emph style="super">besides there true distances</emph>; & <emph style="st">as</emph> in <lb/> |
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|
4796 navigation, [???] elevations of the poles for correcting your <lb/> |
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4797 dead reckonings would stand you in no steed. Neither could <lb/> |
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4798 any navigaton be performed, but only on such courses as <lb/> |
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4799 the planes were first found by. For upon other courses <emph style="st">accordi</emph> <lb/> |
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4800 according as <emph style="st">they are fur</emph> your deviation is greater or lesse <lb/> |
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4801 <emph style="st">so good be your [???]</emph> so much should you sayle of your <lb/> |
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4802 purpose wether you considered <emph style="st">but</emph> therein variation or not; <lb/> |
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4803 if the compasse in <emph style="st">those</emph> <emph style="super">such</emph> courses |
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4804 have a greater or lesse <lb/> |
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4805 variation then <emph style="super">before</emph> in the courses originall. |
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4806 </s> |
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4807 </p> |
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4808 <p> |
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4809 <s xml:id="echoid-s409" xml:space="preserve"> |
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4810 And although <emph style="super">no</emph> chartes have |
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4811 <emph style="st">[???]</emph> those planes so truly situa-<lb/> |
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4812 ted as they aought according to arte |
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4813 </s> |
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4814 </p> |
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4815 <pb file="0982.jpg" o="491v" n="982"/> |
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4816 <pb file="0983.jpg" o="492r" n="983"/> |
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4817 <pb file="0984.jpg" o="492v" n="984"/> |
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4818 <pb file="0985.jpg" o="493r" n="985"/> |
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4819 <pb file="0986.jpg" o="493v" n="986"/> |
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4820 <pb file="0987.jpg" o="494r" n="987"/> |
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4821 <head xml:id="echoid-head69" xml:space="preserve" xml:lang="lat"> |
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|
4822 Comparationes Judeaum supplementum (vide publ: Midleburg:) |
|
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4823 </head> |
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4824 <pb file="0988.jpg" o="494v" n="988"/> |
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4825 <pb file="0989.jpg" o="495r" n="989"/> |
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4826 <head xml:id="echoid-head70" xml:space="preserve" xml:lang="lat"> |
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|
4827 De motu solis. diagramma in Charta de <lb/> |
|
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|
4828 Anomalijs |
|
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|
4829 <lb/>[<emph style="it">tr: |
|
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|
4830 On the motion of the sun. Diagram in sheet on De anomalijs. |
|
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|
4831 </emph>]<lb/> |
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4832 </head> |
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4833 <pb file="0990.jpg" o="495v" n="990"/> |
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|
4834 <pb file="0991.jpg" o="496r" n="991"/> |
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4835 <pb file="0992.jpg" o="496v" n="992"/> |
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|
4836 <pb file="0993.jpg" o="497r" n="993"/> |
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|
4837 <p xml:lang="lat"> |
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4838 <s xml:id="echoid-s410" xml:space="preserve"> |
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|
4839 Dionysios Exigius, <lb/> |
|
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|
4840 abbas Romanos <lb/> |
|
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|
4841 paschales cyclos <lb/> |
|
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|
4842 orditur &c. <lb/> |
|
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|
4843 Bunting. |
|
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|
4844 </s> |
|
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|
4845 </p> |
|
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|
4846 <p xml:lang="lat"> |
|
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|
4847 <s xml:id="echoid-s411" xml:space="preserve"> |
|
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|
4848 Era Dioclesiani <lb/> |
|
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|
4849 Christm. 433.p <lb/> |
|
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|
4850 Bunting. |
|
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|
4851 </s> |
|
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|
4852 </p> |
|
22d6a63640c6
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|
4853 <p xml:lang="lat"> |
|
22d6a63640c6
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|
4854 <s xml:id="echoid-s412" xml:space="preserve"> |
|
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diff
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|
4855 Anni Dionysiani: <lb/> |
|
22d6a63640c6
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|
4856 Cycl. Christi. |
|
22d6a63640c6
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|
4857 </s> |
|
22d6a63640c6
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|
4858 </p> |
|
22d6a63640c6
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|
4859 <pb file="0994.jpg" o="497v" n="994"/> |
|
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|
4860 <pb file="0995.jpg" o="498r" n="995"/> |
|
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|
4861 <pb file="0996.jpg" o="498v" n="996"/> |
|
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|
4862 <pb file="0997.jpg" o="499r" n="997"/> |
|
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|
4863 <pb file="0998.jpg" o="499v" n="998"/> |
|
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|
4864 <pb file="0999.jpg" o="500r" n="999"/> |
|
22d6a63640c6
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|
4865 <pb file="1000.jpg" o="500v" n="1000"/> |
|
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|
4866 <pb file="1001.jpg" o="501r" n="1001"/> |
|
22d6a63640c6
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|
4867 <pb file="1002.jpg" o="501v" n="1002"/> |
|
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|
4868 <pb file="1003.jpg" o="502r" n="1003"/> |
|
22d6a63640c6
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|
4869 <pb file="1004.jpg" o="502v" n="1004"/> |
|
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|
4870 <pb file="1005.jpg" o="503r" n="1005"/> |
|
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|
4871 <pb file="1006.jpg" o="503v" n="1006"/> |
|
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|
4872 <pb file="1007.jpg" o="504r" n="1007"/> |
|
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|
4873 <pb file="1008.jpg" o="504v" n="1008"/> |
|
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|
4874 <pb file="1009.jpg" o="505r" n="1009"/> |
|
22d6a63640c6
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|
4875 <pb file="1010.jpg" o="505v" n="1010"/> |
|
22d6a63640c6
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|
4876 <pb file="1011.jpg" o="506r" n="1011"/> |
|
22d6a63640c6
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|
4877 <pb file="1012.jpg" o="506v" n="1012"/> |
|
22d6a63640c6
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|
4878 <pb file="1013.jpg" o="507r" n="1013"/> |
|
22d6a63640c6
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|
4879 <head xml:id="echoid-head71" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4880 Josephus |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4881 </head> |
|
22d6a63640c6
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|
4882 <pb file="1014.jpg" o="507v" n="1014"/> |
|
22d6a63640c6
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|
4883 <pb file="1015.jpg" o="508r" n="1015"/> |
|
22d6a63640c6
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|
4884 <pb file="1016.jpg" o="508v" n="1016"/> |
|
22d6a63640c6
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|
4885 <pb file="1017.jpg" o="509r" n="1017"/> |
|
22d6a63640c6
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|
4886 <p> |
|
22d6a63640c6
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|
4887 <s xml:id="echoid-s413" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4888 Adam. <lb/> |
|
22d6a63640c6
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|
4889 Seth. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4890 Enos. <lb/> |
|
22d6a63640c6
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|
4891 Cainan. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4892 Maleteel. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
4893 Jared. <lb/> |
|
22d6a63640c6
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|
4894 Enoch. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4895 Mathusala. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4896 Lamech. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4897 Noe. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4898 Sem. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4899 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4900 </p> |
|
22d6a63640c6
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diff
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|
4901 <p xml:lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4902 <s xml:id="echoid-s414" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4903 Anno 600 Noe et <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4904 98. Sem. principiæ. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4905 diluvij. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4906 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4907 The 600th year of Noah and 98th of Sem at the begninning of the flood. |
|
22d6a63640c6
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diff
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|
4908 </emph>]<lb/> |
|
22d6a63640c6
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diff
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|
4909 </s> |
|
22d6a63640c6
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diff
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|
4910 </p> |
|
22d6a63640c6
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diff
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|
4911 <p> |
|
22d6a63640c6
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|
4912 <s xml:id="echoid-s415" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4913 Arphaxad. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4914 Cainan. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4915 Sala. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4916 Heber. <lb/> |
|
22d6a63640c6
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parents:
diff
changeset
|
4917 Phalag. <lb/> |
|
22d6a63640c6
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diff
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|
4918 Rhagau. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4919 Seruch. <lb/> |
|
22d6a63640c6
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casties
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diff
changeset
|
4920 Nachor. <lb/> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4921 Tharra. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4922 Abram. |
|
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casties
parents:
diff
changeset
|
4923 </s> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4924 </p> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4925 <pb file="1018.jpg" o="509v" n="1018"/> |
|
22d6a63640c6
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diff
changeset
|
4926 <pb file="1019.jpg" o="510r" n="1019"/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4927 <p> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
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|
4928 <s xml:id="echoid-s416" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4929 Adam. <lb/> |
|
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casties
parents:
diff
changeset
|
4930 Scheth. <lb/> |
|
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casties
parents:
diff
changeset
|
4931 Enosch. <lb/> |
|
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casties
parents:
diff
changeset
|
4932 Kenan. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4933 Mahalateel. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4934 Jered. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4935 Chanoc. <lb/> |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4936 Methuschelach. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4937 Lemec. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4938 Noach. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4939 Schem. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
changeset
|
4940 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
changeset
|
4941 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
changeset
|
4942 <p xml:lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
changeset
|
4943 <s xml:id="echoid-s417" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4944 Diluuij <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4945 principia |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4946 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4947 Beginning of the flood |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4948 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4949 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4950 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4951 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
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|
4952 <s xml:id="echoid-s418" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4953 Arpachshad. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4954 Schelach. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4955 Heber. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4956 Peleg. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4957 Rehu. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4958 Scherug. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4959 Nachor. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4960 Theruc. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4961 Abram. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4962 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4963 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4964 <p xml:lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4965 <s xml:id="echoid-s419" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4966 Anno 70 Abrami <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4967 Incipiunt: 430. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4968 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4969 The 70 years of Abraham begin in 430. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4970 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
4971 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4972 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4973 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
changeset
|
4974 <s xml:id="echoid-s420" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4975 Jitzchak <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4976 Jahakob <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4977 Joseph |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4978 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4979 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4980 <p xml:lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4981 <s xml:id="echoid-s421" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4982 Mors Jo. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4983 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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casties
parents:
diff
changeset
|
4984 Death of Joseph |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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changeset
|
4985 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4986 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4987 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4988 <pb file="1020.jpg" o="510v" n="1020"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
4989 <pb file="1021.jpg" o="511r" n="1021"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
4990 <pb file="1022.jpg" o="511v" n="1022"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
4991 <pb file="1023.jpg" o="512r" n="1023"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
4992 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4993 <s xml:id="echoid-s422" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
4994 1. fathers father <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4995 3. mothers father <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4996 2. fathers mother <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4997 4. mothers mother <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
4998 fathers fathers wife <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
4999 fathers mothers husband <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5000 mothers fathers wife <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5001 mothers mothers husband <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5002 wives fathers father <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5003 wives fathers mother <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5004 wives mothers father <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5005 wives mothers mother <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5006 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5007 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5008 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5009 <s xml:id="echoid-s423" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5010 father <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5011 mother <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
5012 fathers wife <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
5013 mothers husband <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5014 wives father <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5015 wives mother |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
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diff
changeset
|
5016 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5017 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5018 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5019 <s xml:id="echoid-s424" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5020 man <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5021 wife <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5022 woman <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5023 husband |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5024 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5025 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5026 <pb file="1024.jpg" o="512v" n="1024"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5027 <pb file="1025.jpg" o="513r" n="1025"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5028 <pb file="1026.jpg" o="513v" n="1026"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5029 <pb file="1027.jpg" o="514r" n="1027"/> |
|
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|
5030 <p> |
|
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|
5031 <s xml:id="echoid-s425" xml:space="preserve"> |
|
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|
5032 A man shall <lb/> |
|
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|
5033 not marry <lb/> |
|
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|
5034 his. |
|
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|
5035 </s> |
|
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|
5036 </p> |
|
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|
5037 <p> |
|
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|
5038 <s xml:id="echoid-s426" xml:space="preserve"> |
|
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|
5039 mother <lb/> |
|
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|
5040 fathers wife <lb/> |
|
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|
5041 wives mother. |
|
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|
5042 </s> |
|
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|
5043 </p> |
|
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|
5044 <p> |
|
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|
5045 <s xml:id="echoid-s427" xml:space="preserve"> |
|
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|
5046 fathers daughter. sister. <lb/> |
|
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|
5047 mothers daughter. sister. |
|
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|
5048 </s> |
|
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|
5049 </p> |
|
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|
5050 <pb file="1028.jpg" o="514v" n="1028"/> |
|
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|
5051 <pb file="1029.jpg" o="515r" n="1029"/> |
|
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|
5052 <div xml:id="echoid-div28" type="page_commentary" level="2" n="28"> |
|
22d6a63640c6
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|
5053 <p> |
|
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|
5054 <s xml:id="echoid-s428" xml:space="preserve">[<emph style="it">Note: |
|
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|
5055 <p> |
|
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|
5056 <s xml:id="echoid-s428" xml:space="preserve"> |
|
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|
5057 The table begins with males aged 20 and 0 years, females aged 39 and 19 years. |
|
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|
5058 Each person bears a child (of the same gender) at the age of 20 and dies at the age of 40. |
|
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|
5059 In this way there are always four people alive at any one time. |
|
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|
5060 Their ages are shown in successive rows of the table. |
|
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|
5061 </s> |
|
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|
5062 </p> |
|
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|
5063 </emph>] |
|
22d6a63640c6
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|
5064 <lb/><lb/></s></p></div> |
|
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|
5065 <p lang="lat"> |
|
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|
5066 <s xml:id="echoid-s430" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5067 Mares. Fem. |
|
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|
5068 <lb/>[<emph style="it">tr: |
|
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diff
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|
5069 Men. Women. |
|
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|
5070 </emph>]<lb/> |
|
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|
5071 </s> |
|
22d6a63640c6
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|
5072 </p> |
|
22d6a63640c6
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diff
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|
5073 <pb file="1030.jpg" o="515v" n="1030"/> |
|
22d6a63640c6
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diff
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|
5074 <div xml:id="echoid-div29" type="page_commentary" level="2" n="29"> |
|
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|
5075 <p> |
|
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|
5076 <s xml:id="echoid-s431" xml:space="preserve">[<emph style="it">Note: |
|
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|
5077 <p> |
|
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diff
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|
5078 <s xml:id="echoid-s431" xml:space="preserve"> |
|
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diff
changeset
|
5079 The table to which the heading refers is in Add MS 6788, f. 515. |
|
22d6a63640c6
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|
5080 </s> |
|
22d6a63640c6
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|
5081 </p> |
|
22d6a63640c6
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diff
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|
5082 </emph>] |
|
22d6a63640c6
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|
5083 <lb/><lb/></s></p></div> |
|
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|
5084 <head xml:id="echoid-head72" xml:space="preserve"> |
|
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diff
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|
5085 Quomodo idem numerus personarum æqualiter possit <lb/> |
|
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diff
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|
5086 conservari, in generationibus suis. |
|
22d6a63640c6
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diff
changeset
|
5087 <lb/>[<emph style="it">tr: |
|
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diff
changeset
|
5088 How the same number of persons may be conserved uniformly in the process of procreating. |
|
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|
5089 </emph>]<lb/> |
|
22d6a63640c6
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|
5090 </head> |
|
22d6a63640c6
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diff
changeset
|
5091 <p> |
|
22d6a63640c6
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diff
changeset
|
5092 <s xml:id="echoid-s433" xml:space="preserve"> |
|
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diff
changeset
|
5093 numerus annorum <lb/> |
|
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changeset
|
5094 quæsitus, est, 40. |
|
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|
5095 <lb/>[<emph style="it">tr: |
|
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diff
changeset
|
5096 number of years studied is 40. |
|
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diff
changeset
|
5097 </emph>]<lb/> |
|
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|
5098 </s> |
|
22d6a63640c6
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|
5099 </p> |
|
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diff
changeset
|
5100 <pb file="1031.jpg" o="516r" n="1031"/> |
|
22d6a63640c6
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diff
changeset
|
5101 <pb file="1032.jpg" o="516v" n="1032"/> |
|
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changeset
|
5102 <head xml:id="echoid-head73" xml:space="preserve"> |
|
22d6a63640c6
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diff
changeset
|
5103 Genesis 10. |
|
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|
5104 </head> |
|
22d6a63640c6
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diff
changeset
|
5105 <pb file="1033.jpg" o="517r" n="1033"/> |
|
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changeset
|
5106 <pb file="1034.jpg" o="517v" n="1034"/> |
|
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diff
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|
5107 <div xml:id="echoid-div30" type="page_commentary" level="2" n="30"> |
|
22d6a63640c6
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diff
changeset
|
5108 <p> |
|
22d6a63640c6
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|
5109 <s xml:id="echoid-s434" xml:space="preserve">[<emph style="it">Note: |
|
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changeset
|
5110 <p> |
|
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|
5111 <s xml:id="echoid-s434" xml:space="preserve"> |
|
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diff
changeset
|
5112 A small table on the right shows the number of men increasing by a factor of five every 30 years. |
|
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|
5113 </s> |
|
22d6a63640c6
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changeset
|
5114 </p> |
|
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diff
changeset
|
5115 </emph>] |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5116 <lb/><lb/></s></p></div> |
|
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changeset
|
5117 <p> |
|
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changeset
|
5118 <s xml:id="echoid-s436" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5119 men. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5120 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5121 <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5122 <s xml:id="echoid-s437" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5123 yeres |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5124 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5125 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5126 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5127 <s xml:id="echoid-s438" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5128 men. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5129 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5130 <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5131 <s xml:id="echoid-s439" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5132 women. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5133 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5134 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5135 <pb file="1035.jpg" o="518r" n="1035"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5136 <pb file="1036.jpg" o="518v" n="1036"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5137 <div xml:id="echoid-div31" type="page_commentary" level="2" n="31"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5138 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5139 <s xml:id="echoid-s440" xml:space="preserve">[<emph style="it">Note: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5140 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5141 <s xml:id="echoid-s440" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5142 Conversions between solar, Julian, and Egyptian years. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5143 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5144 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5145 </emph>] |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5146 <lb/><lb/></s></p></div> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5147 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5148 <s xml:id="echoid-s442"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5149 Annus: 365d. 5h. <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>9</mn></mrow><mrow><mn>1</mn><mn>1</mn></mrow></mfrac></mstyle></math> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5150 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5151 A year: 365 days <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>5</mn><mfrac><mrow><mn>9</mn></mrow><mrow><mn>1</mn><mn>1</mn></mrow></mfrac></mstyle></math> hours |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5152 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5153 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5154 <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5155 <s xml:id="echoid-s443"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5156 Hoc est: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5157 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5158 That is: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5159 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5160 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5161 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5162 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5163 <s xml:id="echoid-s444"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5164 Annus Julianus: <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5165 365d 6h |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5166 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5167 Julian year: 365 days 6 hours |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5168 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5169 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5170 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5171 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5172 <s xml:id="echoid-s445"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5173 Annus ægyptius. <lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5174 365d |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5175 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5176 Egyptian year: 365 days |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5177 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5178 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5179 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5180 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5181 <s xml:id="echoid-s446"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5182 Ergo: 48,212. anni Juliani = 48,213. anni solares |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5183 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5184 Therefore: 48212 Julian years = 48213 solar years |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5185 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5186 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5187 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5188 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5189 <s xml:id="echoid-s447"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5190 Ergo: 12,053. anni Ægyptij = 12,045. anni solares |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5191 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5192 Therefore: 12053 Egyptian years = 12045 solar years |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5193 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5194 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5195 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5196 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5197 <s xml:id="echoid-s448"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5198 (minimi termini) |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5199 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5200 (in least terms) |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5201 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5202 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5203 </p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5204 <pb file="1037.jpg" o="519r" n="1037"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5205 <pb file="1038.jpg" o="519v" n="1038"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5206 <pb file="1039.jpg" o="520r" n="1039"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5207 <pb file="1040.jpg" o="520v" n="1040"/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5208 <pb file="1041.jpg" o="521r" n="1041"/> |
|
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5209 <pb file="1042.jpg" o="521v" n="1042"/> |
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5210 <pb file="1043.jpg" o="522r" n="1043"/> |
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5211 <pb file="1044.jpg" o="522v" n="1044"/> |
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5212 <pb file="1045.jpg" o="523r" n="1045"/> |
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5213 <pb file="1046.jpg" o="523v" n="1046"/> |
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5214 <pb file="1047.jpg" o="524r" n="1047"/> |
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5215 <pb file="1048.jpg" o="524v" n="1048"/> |
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5216 <pb file="1049.jpg" o="525r" n="1049"/> |
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5217 <pb file="1050.jpg" o="525v" n="1050"/> |
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5218 <pb file="1051.jpg" o="526r" n="1051"/> |
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5219 <pb file="1052.jpg" o="526v" n="1052"/> |
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5220 <pb file="1053.jpg" o="527r" n="1053"/> |
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5221 <pb file="1054.jpg" o="527v" n="1054"/> |
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5222 <pb file="1055.jpg" o="528r" n="1055"/> |
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5223 <pb file="1056.jpg" o="528v" n="1056"/> |
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5224 <pb file="1057.jpg" o="529r" n="1057"/> |
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5225 <pb file="1058.jpg" o="529v" n="1058"/> |
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5226 <pb file="1059.jpg" o="530r" n="1059"/> |
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5227 <pb file="1060.jpg" o="530v" n="1060"/> |
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5228 <pb file="1061.jpg" o="531r" n="1061"/> |
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5229 <pb file="1062.jpg" o="531v" n="1062"/> |
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5230 <pb file="1063.jpg" o="532r" n="1063"/> |
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5231 <pb file="1064.jpg" o="532v" n="1064"/> |
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5232 <pb file="1065.jpg" o="533r" n="1065"/> |
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5233 <pb file="1066.jpg" o="533v" n="1066"/> |
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5234 <pb file="1067.jpg" o="534r" n="1067"/> |
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5235 <pb file="1068.jpg" o="534v" n="1068"/> |
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5236 <pb file="1069.jpg" o="535r" n="1069"/> |
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5237 <pb file="1070.jpg" o="535v" n="1070"/> |
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5238 <pb file="1071.jpg" o="536r" n="1071"/> |
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5239 <div xml:id="echoid-div32" type="page_commentary" level="2" n="32"> |
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5240 <p> |
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5241 <s xml:id="echoid-s449" xml:space="preserve">[<emph style="it">Note: |
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5242 <p> |
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5243 <s xml:id="echoid-s449" xml:space="preserve"> |
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5244 This is a key page in which Harriot sets out his calculations of population |
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5245 under the conditions set out in Add MS 6782, f. 31v, and Add MS 6788, f. 537, |
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5246 namely, that each male–female pair gives birth to a child each year, alternately male and female, |
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5247 and that those children begin to reproduce after 20 years. |
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5248 All survive indefinitely. <lb/> |
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|
5249 Harriot gives no verbal explanation of the calculations, |
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5250 and there are only a few surviving rough diagrams like that in Add MS 6788, f. 554. <lb/> |
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5251 Take the calculations for 30 years as an example. |
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5252 Now there are 15 males born to the original couple; these are marked 'a'. |
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5253 Meanwhile, the 5 oldest males have begun to reproduce, giving birth to 5 + 4 + 3 + 2 + 1 = 15 male children. |
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5254 This sum can be calculated by the rule <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mi>n</mi><mo maxsize="1">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo maxsize="1">)</mo></mrow><mrow><mn>2</mn></mrow></mfrac></mstyle></math>, giving the <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>n</mi></mstyle></math>th triangular number. |
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5255 This calculation is marked 'b'. <lb/> |
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5256 The calculations for subsequent years follow a similar pattern. |
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5257 At 50 years, the second generation, measured by triangular numbers, has begun to reproduce. |
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5258 The third generation is therefore measured by sums of triangular numbers, |
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5259 that is, pyramidal numbers, calculated by the rule <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mi>n</mi><mo maxsize="1">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo maxsize="1">)</mo><mo maxsize="1">(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo maxsize="1">)</mo></mrow><mrow><mn>6</mn></mrow></mfrac></mstyle></math>. |
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5260 This calculations is marked 'c'. <lb/> |
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5261 And so on. |
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5262 </s> |
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5263 </p> |
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5264 </emph>] |
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5265 <lb/><lb/></s></p></div> |
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5266 <p lang="lat"> |
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5267 <s xml:id="echoid-s451" xml:space="preserve"> |
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5268 progenies Maris et feminæ ad annos. 100 |
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5269 <lb/>[<emph style="it">tr: |
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5270 the offspring of men and women for 100 years |
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5271 </emph>]<lb/> |
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5272 </s> |
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5273 </p> |
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5274 <p lang="lat"> |
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5275 <s xml:id="echoid-s452" xml:space="preserve"> |
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|
5276 Mares |
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5277 <lb/>[<emph style="it">tr: |
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|
5278 In years. Men. |
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5279 </emph>]<lb/> |
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5280 </s> |
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5281 <lb/> |
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5282 <s xml:id="echoid-s453" xml:space="preserve"> |
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5283 feminæ |
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5284 <lb/>[<emph style="it">tr: |
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5285 women |
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|
5286 </emph>]<lb/> |
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5287 </s> |
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5288 <lb/> |
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5289 <s xml:id="echoid-s454" xml:space="preserve"> |
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|
5290 personæ |
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|
5291 <lb/>[<emph style="it">tr: |
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|
5292 persons |
|
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|
5293 </emph>]<lb/> |
|
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|
5294 </s> |
|
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|
5295 <lb/> |
|
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|
5296 <s xml:id="echoid-s455" xml:space="preserve"> |
|
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|
5297 a tribus <lb/> |
|
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|
5298 maribus <lb/> |
|
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|
5299 et ?? |
|
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|
5300 </s> |
|
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|
5301 </p> |
|
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|
5302 <p lang="lat"> |
|
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|
5303 <s xml:id="echoid-s456" xml:space="preserve"> |
|
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|
5304 Ad annos. 80. |
|
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|
5305 <lb/>[<emph style="it">tr: |
|
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|
5306 For 80 years. |
|
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|
5307 </emph>]<lb/> |
|
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|
5308 </s> |
|
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|
5309 </p> |
|
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|
5310 <p lang="lat"> |
|
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|
5311 <s xml:id="echoid-s457" xml:space="preserve"> |
|
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|
5312 [Etc.] |
|
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|
5313 </s> |
|
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|
5314 </p> |
|
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|
5315 <pb file="1072.jpg" o="536v" n="1072"/> |
|
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|
5316 <pb file="1073.jpg" o="537r" n="1073"/> |
|
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|
5317 <div xml:id="echoid-div33" type="page_commentary" level="2" n="33"> |
|
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|
5318 <p> |
|
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|
5319 <s xml:id="echoid-s458" xml:space="preserve">[<emph style="it">Note: |
|
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|
5320 <p> |
|
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|
5321 <s xml:id="echoid-s458" xml:space="preserve"> |
|
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|
5322 This folio continues the calculations shown on Add MS 6788, f. 536, now up to 240 years. |
|
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|
5323 The suppositions underlying the model are set out in three numbered points. <lb/> |
|
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|
5324 This page appears to be the '<foreign lang="lat">charta</foreign> c' |
|
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|
5325 referred to in Add MS 6782, f. 31v, where the same suppositions are given and the results are summarized. |
|
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|
5326 Unfortunately, Harriot's lettering of the page has been lost in the binding. |
|
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|
5327 </s> |
|
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|
5328 </p> |
|
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|
5329 </emph>] |
|
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|
5330 <lb/><lb/></s></p></div> |
|
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|
5331 <p> |
|
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|
5332 <s xml:id="echoid-s460" xml:space="preserve"> |
|
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|
5333 The issue from one man & <lb/>one woman in 240 yeres. |
|
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|
5334 </s> |
|
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|
5335 </p> |
|
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|
5336 <p> |
|
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|
5337 <s xml:id="echoid-s461" xml:space="preserve"> |
|
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|
5338 Supposing: |
|
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|
5339 </s> |
|
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|
5340 <lb/> |
|
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|
5341 <s xml:id="echoid-s462" xml:space="preserve"> |
|
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|
5342 [1]. That the first mand & woman <lb/> |
|
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|
5343 have a child every yeare, one <lb/> |
|
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|
5344 yeare male & another yere female. |
|
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|
5345 </s> |
|
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|
5346 </p> |
|
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|
5347 <p> |
|
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|
5348 <s xml:id="echoid-s463" xml:space="preserve"> |
|
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|
5349 2. That the children when they are <lb/> |
|
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|
5350 20 yeres old & upward do also <lb/> |
|
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|
5351 every <emph style="super">yere</emph> beget a child, one yere <lb/> |
|
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|
5352 male & an other yere female. |
|
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|
5353 </s> |
|
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|
5354 </p> |
|
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|
5355 <p> |
|
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|
5356 <s xml:id="echoid-s464" xml:space="preserve"> |
|
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|
5357 3. That all are living at the end <lb/> |
|
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|
5358 of 240 yeres. |
|
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|
5359 </s> |
|
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|
5360 </p> |
|
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|
5361 <p> |
|
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diff
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|
5362 [<emph style="it">Note: |
|
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|
5363 After adding the number of males and females, Harriot multiplies the total population by 3. |
|
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|
5364 This suggests that his calculations are related to the biblical chronology of some of the |
|
22d6a63640c6
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|
5365 surrounding pages, the three pairs being the three sons of Noah (Shem, Ham, Japheth) |
|
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|
5366 and their wives. |
|
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|
5367 </emph>]<lb/> |
|
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|
5368 <s xml:id="echoid-s465" xml:space="preserve"> |
|
22d6a63640c6
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|
5369 In 240 <lb/> |
|
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|
5370 yeres. |
|
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changeset
|
5371 </s> |
|
22d6a63640c6
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changeset
|
5372 <lb/> |
|
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|
5373 <s xml:id="echoid-s466" xml:space="preserve"> |
|
22d6a63640c6
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changeset
|
5374 males. 5,034,303,437. |
|
22d6a63640c6
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changeset
|
5375 </s> |
|
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|
5376 <lb/> |
|
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|
5377 <s xml:id="echoid-s467" xml:space="preserve"> |
|
22d6a63640c6
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|
5378 females. 5,034,303,437. |
|
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changeset
|
5379 </s> |
|
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changeset
|
5380 <lb/> |
|
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changeset
|
5381 <s xml:id="echoid-s468" xml:space="preserve"> |
|
22d6a63640c6
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diff
changeset
|
5382 persons. 10,068,606,874. |
|
22d6a63640c6
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|
5383 </s> |
|
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|
5384 </p> |
|
22d6a63640c6
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|
5385 <pb file="1074.jpg" o="537v" n="1074"/> |
|
22d6a63640c6
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|
5386 <pb file="1075.jpg" o="538r" n="1075"/> |
|
22d6a63640c6
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|
5387 <pb file="1076.jpg" o="538v" n="1076"/> |
|
22d6a63640c6
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|
5388 <pb file="1077.jpg" o="539r" n="1077"/> |
|
22d6a63640c6
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diff
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|
5389 <pb file="1078.jpg" o="539v" n="1078"/> |
|
22d6a63640c6
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|
5390 <pb file="1079.jpg" o="540r" n="1079"/> |
|
22d6a63640c6
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|
5391 <div xml:id="echoid-div34" type="page_commentary" level="2" n="34"> |
|
22d6a63640c6
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diff
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|
5392 <p> |
|
22d6a63640c6
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diff
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|
5393 <s xml:id="echoid-s469" xml:space="preserve">[<emph style="it">Note: |
|
22d6a63640c6
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|
5394 <p> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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|
5395 <s xml:id="echoid-s469" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5396 This folio continues the calculations shown on Add MS 6788, f. 536, |
|
22d6a63640c6
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|
5397 now for 260 years. <lb/> |
|
22d6a63640c6
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diff
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|
5398 This page may be the '<foreign lang="lat">charta</foreign> db' |
|
22d6a63640c6
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diff
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|
5399 referred to in Add MS 6782, f. 31v. |
|
22d6a63640c6
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|
5400 </s> |
|
22d6a63640c6
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|
5401 </p> |
|
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|
5402 </emph>] |
|
22d6a63640c6
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|
5403 <lb/><lb/></s></p></div> |
|
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|
5404 <pb file="1080.jpg" o="540v" n="1080"/> |
|
22d6a63640c6
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|
5405 <pb file="1081.jpg" o="541r" n="1081"/> |
|
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|
5406 <div xml:id="echoid-div35" type="page_commentary" level="2" n="35"> |
|
22d6a63640c6
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|
5407 <p> |
|
22d6a63640c6
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|
5408 <s xml:id="echoid-s471" xml:space="preserve">[<emph style="it">Note: |
|
22d6a63640c6
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|
5409 <p> |
|
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|
5410 <s xml:id="echoid-s471" xml:space="preserve"> |
|
22d6a63640c6
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|
5411 This folio continues the calculations shown on Add MS 6788, f. 536, |
|
22d6a63640c6
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|
5412 now for 340 years. <lb/> |
|
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|
5413 This page appears to be the '<foreign lang="lat">charta</foreign> db' |
|
22d6a63640c6
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|
5414 referred to in Add MS 6782, f. 31v. |
|
22d6a63640c6
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|
5415 Unfortunately, Harriot's lettering of the page is obscured in the binding. |
|
22d6a63640c6
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|
5416 </s> |
|
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|
5417 </p> |
|
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|
5418 </emph>] |
|
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|
5419 <lb/><lb/></s></p></div> |
|
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|
5420 <pb file="1082.jpg" o="541v" n="1082"/> |
|
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|
5421 <pb file="1083.jpg" o="542r" n="1083"/> |
|
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|
5422 <div xml:id="echoid-div36" type="page_commentary" level="2" n="36"> |
|
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|
5423 <p> |
|
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|
5424 <s xml:id="echoid-s473" xml:space="preserve">[<emph style="it">Note: |
|
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|
5425 <p> |
|
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|
5426 <s xml:id="echoid-s473" xml:space="preserve"> |
|
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|
5427 This folio summarizes the calculations on Add MS 6788, f. 536 and f. 543v. <lb/> |
|
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|
5428 A second table in the lower half of the page shows the result of doubling the birth rate |
|
22d6a63640c6
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|
5429 from one male every two years to one male every year. |
|
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|
5430 </s> |
|
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|
5431 </p> |
|
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|
5432 </emph>] |
|
22d6a63640c6
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|
5433 <lb/><lb/></s></p></div> |
|
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|
5434 <head xml:id="echoid-head74" xml:space="preserve" lang="lat"> |
|
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|
5435 Progenies maris et feminæ. tota [???] |
|
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|
5436 </head> |
|
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|
5437 <p lang="lat"> |
|
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|
5438 <s xml:id="echoid-s475" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5439 In <lb/> |
|
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|
5440 Annis. personæ |
|
22d6a63640c6
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diff
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|
5441 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
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|
5442 In years. Persons. |
|
22d6a63640c6
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|
5443 </emph>]<lb/> |
|
22d6a63640c6
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|
5444 </s> |
|
22d6a63640c6
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|
5445 </p> |
|
22d6a63640c6
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|
5446 <p lang="lat"> |
|
22d6a63640c6
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|
5447 <s xml:id="echoid-s476" xml:space="preserve"> |
|
22d6a63640c6
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|
5448 ponitur: <lb/> |
|
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|
5449 Quod annis quibuslibet binis <lb/> |
|
22d6a63640c6
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|
5450 mares singuli gignunt marem <lb/> |
|
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|
5451 et feminam. Si agunt annos <lb/> |
|
22d6a63640c6
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|
5452 viginti et ultra. |
|
22d6a63640c6
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|
5453 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
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|
5454 supposed: <lb/> |
|
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|
5455 That every two years each man brings forth a male and a female. If they survive to twenty and more. |
|
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|
5456 </emph>]<lb/> |
|
22d6a63640c6
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|
5457 </s> |
|
22d6a63640c6
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|
5458 </p> |
|
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|
5459 <p lang="lat"> |
|
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|
5460 <s xml:id="echoid-s477" xml:space="preserve"> |
|
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|
5461 Hic ponitur: <lb/> |
|
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|
5462 Quilibet mas agens <lb/> |
|
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|
5463 anno 2 & ultra: <lb/> |
|
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|
5464 singulis annis gignit <lb/> |
|
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|
5465 marem & feminam |
|
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|
5466 <lb/>[<emph style="it">tr: |
|
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|
5467 Here it is supposed: <lb/> |
|
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|
5468 Any man surviving 20 years and more: each year brings forth a male and a female. |
|
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|
5469 </emph>]<lb/> |
|
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|
5470 </s> |
|
22d6a63640c6
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|
5471 </p> |
|
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|
5472 <p lang="lat"> |
|
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|
5473 <s xml:id="echoid-s478" xml:space="preserve"> |
|
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|
5474 In annis. personæ. mares. mares. |
|
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|
5475 <lb/>[<emph style="it">tr: |
|
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|
5476 In years. persons. males. males. |
|
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|
5477 </emph>]<lb/> |
|
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|
5478 </s> |
|
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|
5479 </p> |
|
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|
5480 <pb file="1084.jpg" o="542v" n="1084"/> |
|
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|
5481 <pb file="1085.jpg" o="543r" n="1085"/> |
|
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|
5482 <div xml:id="echoid-div37" type="page_commentary" level="2" n="37"> |
|
22d6a63640c6
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diff
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|
5483 <p> |
|
22d6a63640c6
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|
5484 <s xml:id="echoid-s479" xml:space="preserve">[<emph style="it">Note: |
|
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|
5485 <p> |
|
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|
5486 <s xml:id="echoid-s479" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5487 This folio shows a shorter calculation (or rough work) for the sequences shown in Add MS 6788, f. 555 |
|
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|
5488 of males in the fourth and fifth generations. <lb/> |
|
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|
5489 The left hand column begins with a population of 220, |
|
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|
5490 from which the sequence 1, 3, 6, ..., 63, 69, 73 is successively subtracted, |
|
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|
5491 while the sequence 63, 69, 73, 75, 75, 73, .... 15, 10, 6 is successively added, |
|
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|
5492 giving rise to the sequence 220, 282, 348, ..., 660, 670, 660, .... <lb/> |
|
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|
5493 The right hand column begins with a population of 715, |
|
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|
5494 from which the sequence 1, 4, 10, ..., 348, 415, 450 is successively subtracted, |
|
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|
5495 while the sequence 282, 348, 415, ..., 663, 660, ... is successively added, |
|
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|
5496 giving rise to the sequence 715, 996, 1340, .... <lb/> |
|
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|
5497 Harriot makes an error in this column, adding 633 instead of 670 after subtracting 165, |
|
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|
5498 but this is rectified in the rightmost column. |
|
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|
5499 </s> |
|
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|
5500 </p> |
|
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|
5501 </emph>] |
|
22d6a63640c6
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diff
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|
5502 <lb/><lb/></s></p></div> |
|
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|
5503 <pb file="1086.jpg" o="543v" n="1086"/> |
|
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|
5504 <div xml:id="echoid-div38" type="page_commentary" level="2" n="38"> |
|
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|
5505 <p> |
|
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|
5506 <s xml:id="echoid-s481" xml:space="preserve">[<emph style="it">Note: |
|
22d6a63640c6
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|
5507 <p> |
|
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|
5508 <s xml:id="echoid-s481" xml:space="preserve"> |
|
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diff
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|
5509 This folio continues the calculations shown on Add MS 6788, f. 536, |
|
22d6a63640c6
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|
5510 now for 70, 90, 102, 110, and 120 years. <lb/> |
|
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|
5511 </s> |
|
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|
5512 </p> |
|
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|
5513 </emph>] |
|
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|
5514 <lb/><lb/></s></p></div> |
|
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|
5515 <p lang="lat"> |
|
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|
5516 <s xml:id="echoid-s483" xml:space="preserve"> |
|
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|
5517 progenies maris et feminæ. ad anno 102 <lb/> |
|
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diff
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|
5518 tot sunt a Diluvio ad Peleg. |
|
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|
5519 <lb/>[<emph style="it">tr: |
|
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|
5520 the offspring of a man and woman for 102 years, as many as from the flood to P |
|
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|
5521 </emph>]<lb/> |
|
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diff
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|
5522 </s> |
|
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diff
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|
5523 </p> |
|
22d6a63640c6
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diff
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|
5524 <p lang="lat"> |
|
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diff
changeset
|
5525 <s xml:id="echoid-s484" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5526 mares. |
|
22d6a63640c6
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diff
changeset
|
5527 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
changeset
|
5528 men |
|
22d6a63640c6
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diff
changeset
|
5529 </emph>]<lb/> |
|
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diff
changeset
|
5530 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
5531 <lb/> |
|
22d6a63640c6
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diff
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|
5532 <s xml:id="echoid-s485" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
5533 feminæ |
|
22d6a63640c6
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diff
changeset
|
5534 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5535 women |
|
22d6a63640c6
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diff
changeset
|
5536 </emph>]<lb/> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5537 </s> |
|
22d6a63640c6
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diff
changeset
|
5538 <lb/> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
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|
5539 <s xml:id="echoid-s486" xml:space="preserve"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5540 personæ |
|
22d6a63640c6
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diff
changeset
|
5541 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
changeset
|
5542 persons |
|
22d6a63640c6
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diff
changeset
|
5543 </emph>]<lb/> |
|
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diff
changeset
|
5544 </s> |
|
22d6a63640c6
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diff
changeset
|
5545 </p> |
|
22d6a63640c6
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diff
changeset
|
5546 <p lang="lat"> |
|
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diff
changeset
|
5547 <s xml:id="echoid-s487" xml:space="preserve"> |
|
22d6a63640c6
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diff
changeset
|
5548 Ad annos. 120. |
|
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diff
changeset
|
5549 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
changeset
|
5550 For 80 years. |
|
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diff
changeset
|
5551 </emph>]<lb/> |
|
22d6a63640c6
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diff
changeset
|
5552 </s> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5553 </p> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5554 <p lang="lat"> |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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diff
changeset
|
5555 <s xml:id="echoid-s488" xml:space="preserve"> |
|
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moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5556 ad annos. 90. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5557 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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parents:
diff
changeset
|
5558 For 80 years. |
|
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5559 </emph>]<lb/> |
|
22d6a63640c6
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diff
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|
5560 </s> |
|
22d6a63640c6
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|
5561 </p> |
|
22d6a63640c6
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|
5562 <p lang="lat"> |
|
22d6a63640c6
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|
5563 <s xml:id="echoid-s489" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5564 Ad annos. 110. |
|
22d6a63640c6
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|
5565 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
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|
5566 For 80 years. |
|
22d6a63640c6
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|
5567 </emph>]<lb/> |
|
22d6a63640c6
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|
5568 </s> |
|
22d6a63640c6
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|
5569 </p> |
|
22d6a63640c6
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|
5570 <p lang="lat"> |
|
22d6a63640c6
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|
5571 <s xml:id="echoid-s490" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5572 Ad annos. 70. |
|
22d6a63640c6
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|
5573 <lb/>[<emph style="it">tr: |
|
22d6a63640c6
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diff
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|
5574 For 80 years. |
|
22d6a63640c6
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|
5575 </emph>]<lb/> |
|
22d6a63640c6
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|
5576 </s> |
|
22d6a63640c6
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|
5577 </p> |
|
22d6a63640c6
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|
5578 <p lang="lat"> |
|
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|
5579 <s xml:id="echoid-s491" xml:space="preserve"> |
|
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diff
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|
5580 in alia charta |
|
22d6a63640c6
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|
5581 <lb/>[<emph style="it">tr: |
|
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|
5582 on the other sheet |
|
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|
5583 </emph>]<lb/> |
|
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|
5584 </s> |
|
22d6a63640c6
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|
5585 </p> |
|
22d6a63640c6
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|
5586 <pb file="1087.jpg" o="544r" n="1087"/> |
|
22d6a63640c6
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|
5587 <pb file="1088.jpg" o="544v" n="1088"/> |
|
22d6a63640c6
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|
5588 <pb file="1089.jpg" o="545r" n="1089"/> |
|
22d6a63640c6
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|
5589 <div xml:id="echoid-div39" type="page_commentary" level="2" n="39"> |
|
22d6a63640c6
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diff
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|
5590 <p> |
|
22d6a63640c6
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diff
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|
5591 <s xml:id="echoid-s492" xml:space="preserve">[<emph style="it">Note: |
|
22d6a63640c6
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diff
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|
5592 <p> |
|
22d6a63640c6
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|
5593 <s xml:id="echoid-s492" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5594 This folios takes up the calculation suggested in Add MS 6788, f. 554. |
|
22d6a63640c6
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|
5595 The numbered list across the top of the sheet shows the numbers of male children for three generations, |
|
22d6a63640c6
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diff
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|
5596 assuming that each male fathers a male child every two years for 20 years. <lb/> |
|
22d6a63640c6
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|
5597 The first ten entries are the offspring of a single male. <lb/> |
|
22d6a63640c6
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|
5598 The next twenty entries show the number of males in the second generation, |
|
22d6a63640c6
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|
5599 numbered by the sequence 1, 2, 3, 4, ..., 8, 9, 10, 9, 8, ..., 4, 3, 2, 1. <lb/> |
|
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|
5600 The enxt twenty entries who the number of males in the third generation, |
|
22d6a63640c6
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|
5601 numbered by the sequence 1, 3, 6, 10, ..., 55, 62, 69, 73, 75, 75, 73, ... |
|
22d6a63640c6
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|
5602 (see also Add MS 6788, f. 544).<lb/> |
|
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|
5603 </s> |
|
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|
5604 </p> |
|
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|
5605 </emph>] |
|
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|
5606 <lb/><lb/></s></p></div> |
|
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|
5607 <pb file="1090.jpg" o="545v" n="1090"/> |
|
22d6a63640c6
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|
5608 <div xml:id="echoid-div40" type="page_commentary" level="2" n="40"> |
|
22d6a63640c6
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|
5609 <p> |
|
22d6a63640c6
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|
5610 <s xml:id="echoid-s494" xml:space="preserve">[<emph style="it">Note: |
|
22d6a63640c6
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|
5611 <p> |
|
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|
5612 <s xml:id="echoid-s494" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5613 Calculations for the table in the lower half of Add MS 6788, f. 542. |
|
22d6a63640c6
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|
5614 </s> |
|
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|
5615 </p> |
|
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|
5616 </emph>] |
|
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|
5617 <lb/><lb/></s></p></div> |
|
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|
5618 <p lang="lat"> |
|
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|
5619 <s xml:id="echoid-s496" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5620 ponatur hic <lb/> |
|
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|
5621 genetur singuli annus |
|
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|
5622 <lb/>[<emph style="it">tr: |
|
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|
5623 supposed here born each year |
|
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|
5624 </emph>]<lb/> |
|
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|
5625 </s> |
|
22d6a63640c6
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|
5626 </p> |
|
22d6a63640c6
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diff
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|
5627 <p lang="lat"> |
|
22d6a63640c6
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|
5628 <s xml:id="echoid-s497" xml:space="preserve"> |
|
22d6a63640c6
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diff
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|
5629 In annis. Mares |
|
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|
5630 <lb/>[<emph style="it">tr: |
|
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|
5631 In years. Men. |
|
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|
5632 </emph>]<lb/> |
|
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|
5633 </s> |
|
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|
5634 </p> |
|
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|
5635 <p lang="lat"> |
|
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|
5636 <s xml:id="echoid-s498" xml:space="preserve"> |
|
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|
5637 Summa |
|
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|
5638 <lb/>[<emph style="it">tr: |
|
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|
5639 Sum |
|
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|
5640 </emph>]<lb/> |
|
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|
5641 </s> |
|
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|
5642 </p> |
|
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|
5643 <pb file="1091.jpg" o="546r" n="1091"/> |
|
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|
5644 <div xml:id="echoid-div41" type="page_commentary" level="2" n="41"> |
|
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|
5645 <p> |
|
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|
5646 <s xml:id="echoid-s499" xml:space="preserve">[<emph style="it">Note: |
|
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|
5647 <p> |
|
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|
5648 <s xml:id="echoid-s499" xml:space="preserve"> |
|
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|
5649 The left hand column begins with a population of 2002, |
|
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|
5650 from which the sequence 1, 5, 15, ..., 4335, 4840 is successively subtracted, |
|
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|
5651 while the sequence 996, 1340, ..., 4840, 4335 is successively added, |
|
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|
5652 giving rise to the sequence 2002, 2997, 4332, .... <lb/> |
|
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|
5653 The right hand column begins with a population of 5005, |
|
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|
5654 from which the sequence 1, 6, 21, ...,1287, 2002 is successively subtracted, |
|
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|
5655 while the sequence 2997, 4332,..., 25927, 30492 is successively added, |
|
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|
5656 giving rise to the sequence 5005, 8001, 12327, .... |
|
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|
5657 </s> |
|
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|
5658 </p> |
|
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|
5659 </emph>] |
|
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|
5660 <lb/><lb/></s></p></div> |
|
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|
5661 <pb file="1092.jpg" o="546v" n="1092"/> |
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|
5662 <pb file="1093.jpg" o="547r" n="1093"/> |
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|
5663 <pb file="1094.jpg" o="547v" n="1094"/> |
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|
5664 <div xml:id="echoid-div42" type="page_commentary" level="2" n="42"> |
|
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|
5665 <p> |
|
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|
5666 <s xml:id="echoid-s501" xml:space="preserve">[<emph style="it">Note: |
|
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|
5667 <p> |
|
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|
5668 <s xml:id="echoid-s501" xml:space="preserve"> |
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|
5669 This folio is a rougher version of Add MS 6782, f. 31. <lb/> |
|
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|
5670 At the top there is an alphabetic mnemonic for the first 8 digits of <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mi>π</mi></mstyle></math>. |
|
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|
5671 </s> |
|
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|
5672 </p> |
|
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|
5673 </emph>] |
|
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|
5674 <lb/><lb/></s></p></div> |
|
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|
5675 <p xml:lang="lat"> |
|
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|
5676 <s xml:id="echoid-s503" xml:space="preserve"> |
|
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|
5677 cadaeibf <lb/> |
|
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|
5678 31415926 |
|
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|
5679 </s> |
|
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|
5680 </p> |
|
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|
5681 <p xml:lang="lat"> |
|
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|
5682 <s xml:id="echoid-s504" xml:space="preserve"> |
|
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|
5683 35,408,794,100,000 = circulus = <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mstyle></math> superficies terræ et aquæ. |
|
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|
5684 <lb/>[<emph style="it">tr: |
|
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|
5685 a plane circle equal to <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mfrac><mrow><mn>1</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mstyle></math> the surface of land and water. |
|
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|
5686 </emph>]<lb/> |
|
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|
5687 </s> |
|
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|
5688 <lb/> |
|
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|
5689 <s xml:id="echoid-s505" xml:space="preserve"> |
|
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|
5690 141,635,176,400,000 = |
|
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|
5691 <reg norm="superficies" type="abbr">superf:</reg> maris et terræ. |
|
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|
5692 <lb/>[<emph style="it">tr: |
|
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|
5693 The surface of sea and land. <lb/> |
|
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|
5694 </emph>]<lb/> |
|
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|
5695 </s> |
|
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|
5696 <lb/> |
|
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|
5697 <s xml:id="echoid-s506" xml:space="preserve"> |
|
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|
5698 70,817,588,200,000 = |
|
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|
5699 <reg norm="superficies" type="abbr">superf:</reg> terræ |
|
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|
5700 <lb/>[<emph style="it">tr: |
|
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|
5701 The surface of the land. |
|
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|
5702 </emph>]<lb/> |
|
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|
5703 </s> |
|
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|
5704 </p> |
|
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|
5705 <p> |
|
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|
5706 <s xml:id="echoid-s507" xml:space="preserve"> |
|
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|
5707 <sc> |
|
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|
5708 Saxton's map: Christopher Saxton's atlas of the counties of England and Wales, published around 1580. |
|
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|
5709 </sc> |
|
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|
5710 49,987 miles square in England |
|
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|
5711 (<foreign xml:lang="lat">ut alibi</foreign> by Saxtons map) <lb/> |
|
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|
5712 after 60 miles to a degree <lb/> |
|
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|
5713 including rivers & all wastes. |
|
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|
5714 </s> |
|
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|
5715 <lb/> |
|
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|
5716 <s xml:id="echoid-s508" xml:space="preserve"> |
|
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|
5717 It lacketh but 13 miles of 50,000. |
|
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|
5718 </s> |
|
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|
5719 </p> |
|
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|
5720 <p> |
|
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|
5721 <s xml:id="echoid-s509" xml:space="preserve"> |
|
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|
5722 50,000 miles. 5,000,000 persons. <lb/> |
|
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|
5723 1 mile. 100 persons. 70,817,588 miles. 7,081,758,800. persons (in the earth). |
|
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|
5724 </s> |
|
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|
5725 </p> |
|
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|
5726 <p> |
|
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|
5727 <s xml:id="echoid-s510" xml:space="preserve">[<emph style="it">Note: |
|
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|
5728 This subcalculation gives 10,000 square pases per person, |
|
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|
5729 converted next to 250,000 square feet, then to 5 and 8/11 acres. |
|
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|
5730 </emph>]</s><lb/> |
|
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|
5731 <s xml:id="echoid-s511" xml:space="preserve"> |
|
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|
5732 1,000,000 pp. 100 persons. <lb/> |
|
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|
5733 10000 pp. 1 person. <lb/> |
|
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|
5734 10000 [square pases] = <lb/> |
|
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|
5735 250,000 [square feet] = <math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle><mn>5</mn><mfrac><mrow><mn>8</mn></mrow><mrow><mn>1</mn><mn>1</mn></mrow></mfrac></mstyle></math> acres. |
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5736 (note rivers & waste included <lb/> |
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5737 as above.) |
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5738 </s> |
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5739 </p> |
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5740 <pb file="1095.jpg" o="548r" n="1095"/> |
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5741 <pb file="1096.jpg" o="548v" n="1096"/> |
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5742 <pb file="1097.jpg" o="549r" n="1097"/> |
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5743 <head xml:id="echoid-head75" xml:space="preserve"> |
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5744 Computatio annorum 450. Act. 13. |
|
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5745 <lb/>[<emph style="it">tr: |
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5746 Computation of 450 years. |
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5747 </emph>]<lb/> |
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5748 </head> |
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5749 <pb file="1098.jpg" o="549v" n="1098"/> |
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5750 <pb file="1099.jpg" o="550r" n="1099"/> |
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5751 <head xml:id="echoid-head76" xml:space="preserve" xml:lang="lat"> |
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5752 Computatio annorum 480. quæ 1. Reg. Ex Beroaldo |
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5753 <lb/>[<emph style="it">tr: |
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5754 Computation of 480 years. Kings I. From Beroaldo |
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5755 </emph>]<lb/> |
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5756 </head> |
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5757 <pb file="1100.jpg" o="550v" n="1100"/> |
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5758 <pb file="1101.jpg" o="551r" n="1101"/> |
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5759 <head xml:id="echoid-head77" xml:space="preserve" xml:lang="lat"> |
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|
5760 Josephus pag. 125.114. Ex sacris literis. |
|
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5761 <lb/>[<emph style="it">tr: |
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|
5762 Josephus pages 125, 114. <lb/> |
|
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5763 From holy scriptures. |
|
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5764 </emph>]<lb/> |
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5765 </head> |
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5766 <pb file="1102.jpg" o="551v" n="1102"/> |
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5767 <pb file="1103.jpg" o="552r" n="1103"/> |
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5768 <pb file="1104.jpg" o="552v" n="1104"/> |
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5769 <div xml:id="echoid-div43" type="page_commentary" level="2" n="43"> |
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|
5770 <p> |
|
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5771 <s xml:id="echoid-s512" xml:space="preserve">[<emph style="it">Note: |
|
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|
5772 <p> |
|
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|
5773 <s xml:id="echoid-s512" xml:space="preserve"> |
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|
5774 A fair copy of the totals arrived at in Add MS 6788, f. 554v, f. 555, f. 543, f.546. |
|
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|
5775 </s> |
|
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|
5776 </p> |
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|
5777 </emph>] |
|
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|
5778 <lb/><lb/></s></p></div> |
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5779 <pb file="1105.jpg" o="553r" n="1105"/> |
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5780 <div xml:id="echoid-div44" type="page_commentary" level="2" n="44"> |
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|
5781 <p> |
|
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|
5782 <s xml:id="echoid-s514" xml:space="preserve">[<emph style="it">Note: |
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|
5783 <p> |
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|
5784 <s xml:id="echoid-s514" xml:space="preserve"> |
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|
5785 The continuation of Add MS 6788, f. 552v; |
|
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|
5786 a fair copy of the totals arrived at in Add MS 6788, f. 554v, f. 555, f. 543, f.546, |
|
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|
5787 showing the populations sequences up to the eighth generation of males. |
|
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|
5788 </s> |
|
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|
5789 </p> |
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|
5790 </emph>] |
|
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|
5791 <lb/><lb/></s></p></div> |
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|
5792 <pb file="1106.jpg" o="553v" n="1106"/> |
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|
5793 <pb file="1107.jpg" o="554r" n="1107"/> |
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|
5794 <div xml:id="echoid-div45" type="page_commentary" level="2" n="45"> |
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|
5795 <p> |
|
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|
5796 <s xml:id="echoid-s516" xml:space="preserve">[<emph style="it">Note: |
|
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|
5797 <p> |
|
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|
5798 <s xml:id="echoid-s516" xml:space="preserve"> |
|
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|
5799 The calculations in Add MS 6788, f. 536, f. 537, f. 540, f. 541, f. 542, f. 543v, f. 545 |
|
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|
5800 assumed that ten males would give rise to a steadily increasing population, |
|
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|
5801 measured by the triangular numbers 1, 3, 6, 10, .... |
|
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|
5802 This is the situation indicated in the first 20 rows of the sketch on the left. |
|
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|
5803 In this folio, however, Harriot assumes that each male dies (or ceases to reproduce) at the age of 40. |
|
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|
5804 In this case their (male) offspring are measured by the series written across the top of the page, |
|
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|
5805 reaching a peak of 75 after 15 years. |
|
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|
5806 </s> |
|
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|
5807 </p> |
|
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|
5808 </emph>] |
|
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|
5809 <lb/><lb/></s></p></div> |
|
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|
5810 <pb file="1108.jpg" o="554v" n="1108"/> |
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|
5811 <div xml:id="echoid-div46" type="page_commentary" level="2" n="46"> |
|
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|
5812 <p> |
|
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|
5813 <s xml:id="echoid-s518" xml:space="preserve">[<emph style="it">Note: |
|
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|
5814 <p> |
|
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|
5815 <s xml:id="echoid-s518" xml:space="preserve"> |
|
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|
5816 The continuation of Add MS 6788, f. 555 as far as the eighth generation. |
|
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|
5817 </s> |
|
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|
5818 </p> |
|
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|
5819 </emph>] |
|
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|
5820 <lb/><lb/></s></p></div> |
|
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|
5821 <pb file="1109.jpg" o="555r" n="1109"/> |
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5822 <div xml:id="echoid-div47" type="page_commentary" level="2" n="47"> |
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|
5823 <p> |
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5824 <s xml:id="echoid-s520" xml:space="preserve">[<emph style="it">Note: |
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|
5825 <p> |
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|
5826 <s xml:id="echoid-s520" xml:space="preserve"> |
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|
5827 Given the sequence 1, 3, 6, ..., 63, 69, 73, 75, 75, 73, ..., 6, 3, 1 |
|
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|
5828 for the number of males in the third generation (see Add MS 6788, f 545), |
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|
5829 this folio shows the calculation for the number of males in the fourth generation, |
|
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|
5830 namely, 1, 4, 10, 20, ...220, 282, ...660, 670, 660, ..., reaching a peak of 670 in year 19. <lb/> |
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5831 Further lists show sequences for the fifth and sixth generations. |
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5832 </s> |
|
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5833 </p> |
|
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|
5834 </emph>] |
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5835 <lb/><lb/></s></p></div> |
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5836 <pb file="1110.jpg" o="555v" n="1110"/> |
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|
5837 <pb file="1111.jpg" o="556r" n="1111"/> |
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|
5838 <head xml:id="echoid-head78" xml:space="preserve" xml:lang="lat"> |
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|
5839 periodus Judaica 696 |
|
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|
5840 </head> |
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5841 <pb file="1112.jpg" o="556v" n="1112"/> |
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|
5842 <p xml:lang="lat"> |
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5843 <s xml:id="echoid-s522" xml:space="preserve"> |
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|
5844 p. Midelb. |
|
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|
5845 </s> |
|
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|
5846 </p> |
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|
5847 <pb file="1113.jpg" o="557r" n="1113"/> |
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|
5848 <p xml:lang="lat"> |
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|
5849 <s xml:id="echoid-s523" xml:space="preserve"> |
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|
5850 p. Midelb. |
|
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|
5851 </s> |
|
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|
5852 </p> |
|
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|
5853 <pb file="1114.jpg" o="557v" n="1114"/> |
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|
5854 <p xml:lang="lat"> |
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|
5855 <s xml:id="echoid-s524" xml:space="preserve"> |
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|
5856 primus annus Nabonassari <lb/> |
|
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|
5857 fiat Judaicus 3134. |
|
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|
5858 <lb/>[<emph style="it">tr: |
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|
5859 The first year of Nabonassar becomes the Judaic year 3134. |
|
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|
5860 </emph>]<lb/> |
|
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|
5861 </s> |
|
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|
5862 </p> |
|
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|
5863 <p xml:lang="lat"> |
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|
5864 <s xml:id="echoid-s525" xml:space="preserve"> |
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|
5865 sed Scaliger pag: 368 <lb/> |
|
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|
5866 habet. 5. 23. 7. 34. Adar <lb/> |
|
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|
5867 feria sexta. |
|
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|
5868 <lb/>[<emph style="it">tr: |
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|
5869 But Scaliger on page 368 has ... |
|
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|
5870 </emph>]<lb/> |
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|
5871 </s> |
|
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|
5872 </p> |
|
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|
5873 <pb file="1115.jpg" o="558r" n="1115"/> |
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|
5874 <pb file="1116.jpg" o="558v" n="1116"/> |
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|
5875 <pb file="1117.jpg" o="559r" n="1117"/> |
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|
5876 <pb file="1118.jpg" o="559v" n="1118"/> |
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|
5877 <pb file="1119.jpg" o="560r" n="1119"/> |
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|
5878 <head xml:id="echoid-head79" xml:space="preserve" xml:lang="lat"> |
|
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|
5879 De primo anno Nabonbonassari. ex Ptol: lib. 6. cap. 2. |
|
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|
5880 <lb/>[<emph style="it">tr: |
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|
5881 On the first year of Nabonassar, from Ptolemy, Book 6, Chapter 2. |
|
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|
5882 </emph>]<lb/> |
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|
5883 </head> |
|
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|
5884 <pb file="1120.jpg" o="560v" n="1120"/> |
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|
5885 <pb file="1121.jpg" o="561r" n="1121"/> |
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|
5886 <pb file="1122.jpg" o="561v" n="1122"/> |
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|
5887 <div xml:id="echoid-div48" type="page_commentary" level="2" n="48"> |
|
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|
5888 <p> |
|
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|
5889 <s xml:id="echoid-s526" xml:space="preserve">[<emph style="it">Note: |
|
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|
5890 <p> |
|
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|
5891 <s xml:id="echoid-s526" xml:space="preserve"> |
|
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|
5892 The author of this fragment is unkown but the form of address is simlar to that on Add MS 6786, f. 490v. |
|
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|
5893 </s> |
|
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|
5894 </p> |
|
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|
5895 </emph>] |
|
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|
5896 <lb/><lb/></s></p></div> |
|
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|
5897 <p> |
|
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|
5898 <s xml:id="echoid-s528" xml:space="preserve"> |
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|
5899 To his worthy and muche <lb/> |
|
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|
5900 respected frende Mr. <lb/> |
|
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|
5901 Thomas Hariot at <lb/> |
|
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|
5902 Syon geve these. |
|
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|
5903 </s> |
|
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|
5904 </p> |
|
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|
5905 <pb file="1123.jpg" o="562r" n="1123"/> |
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|
5906 <pb file="1124.jpg" o="562v" n="1124"/> |
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|
5907 <pb file="1125.jpg" o="563r" n="1125"/> |
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|
5908 <pb file="1126.jpg" o="563v" n="1126"/> |
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5909 <pb file="1127.jpg" o="564r" n="1127"/> |
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5910 <pb file="1128.jpg" o="564v" n="1128"/> |
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5911 <pb file="1129.jpg" o="565r" n="1129"/> |
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5912 <pb file="1130.jpg" o="565v" n="1130"/> |
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5913 <pb file="1131.jpg" o="566r" n="1131"/> |
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5914 <pb file="1132.jpg" o="566v" n="1132"/> |
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5915 <pb file="1133.jpg" o="567r" n="1133"/> |
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5916 <!-- |
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5917 <head xml:space="preserve"> |
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5918 Upon sundry suppositions certayne conclusions <lb/> |
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5919 of the number of persons that are born ?? <lb/> |
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5920 ∧ generally in England. |
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5921 </head> |
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5922 |
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5923 <p> |
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5924 <s xml:space="preserve"> |
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5925 <emph style="st"> |
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5926 The mayne supposition is that the ?? being so populous as <emph style="st">that</emph> the of <lb/> |
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5927 of the land naturally ?eded, or by arte raysed; or prpoduce thorough <lb/> |
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5928 the labouris of mand & trade is able well to mayntayne with food & such <lb/> |
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5929 ??messages?? as used <emph style="st">for desire</emph> for the ?? of life. |
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5930 </emph> |
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5931 </s> |
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5932 </p> |
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5933 |
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5934 <p> |
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5935 <s xml:space="preserve"> |
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5936 The mayne suppositions is that there as many living soules one ?? |
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5937 as there is in any other continually. |
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5938 </s> |
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5939 </p> |
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5940 --> |
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5941 <pb file="1134.jpg" o="567v" n="1134"/> |
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5942 </div> |
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5943 </text> |
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5944 </echo> |