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Removing DESpecs directory which deserted to git
author Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date Wed, 29 Nov 2017 16:55:37 +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:echo="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" 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="1.0">
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2 <metadata>
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3 <dcterms:identifier>ECHO:DNYGYWGH.xml</dcterms:identifier>
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4 <dcterms:creator identifier="GND:122149270">Zubler, Leonhard</dcterms:creator>
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5 <dcterms:title xml:lang="la">Fabrica et vsvs instrvmenti chorographici : qvo mira facilitate describuntur regiones et singulae partes earum, veluti Montes, Vrbes, Castella, Pagi, Propugnacula, et simila</dcterms:title>
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6 <dcterms:alternative xml:lang="la">Fabrica et usus instrumenti chorographici : quo mira facilitate describuntur regiones et singulae partes earum, veluti Montes, Urbes, Castella, Pagi, Propugnacula, et simila</dcterms:alternative>
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7 <dcterms:date xsi:type="dcterms:W3CDTF">1607</dcterms:date>
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8 <dcterms:language xsi:type="dcterms:ISO639-3">lat</dcterms:language>
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9 <dcterms:rights>CC-BY-SA</dcterms:rights>
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10 <dcterms:license xlink:href="http://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA</dcterms:license>
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11 <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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12 <parameters>despecs=1.1.2</parameters>
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13 </metadata>
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14 <text xml:lang="la" type="free">
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15 <div xml:id="echoid-div1" type="section" level="1" n="1"><pb file="0001" n="1"/>
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16 <pb file="0002" n="2"/>
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17 <handwritten/>
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18 <pb file="0003" n="3"/>
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19 <handwritten/>
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20 <pb file="0004" n="4"/>
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21 <pb file="0005" n="5"/>
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22 <pb file="0006" n="6"/>
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23 <handwritten/>
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24 <handwritten/>
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25 <handwritten/>
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26 <pb file="0007" n="7"/>
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27 <figure>
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28 <image file="0007-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0007-01"/>
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29 </figure>
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30 <pb file="0008" n="8"/>
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31 <handwritten/>
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32 <figure>
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33 <image file="0008-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0008-01"/>
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34 </figure>
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35 <pb file="0009" n="9"/>
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36 </div>
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37 <div xml:id="echoid-div2" type="section" level="1" n="2">
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38 <head xml:id="echoid-head1" xml:space="preserve">In Chorographiam <lb/><emph style="sc">Leonharti</emph> <emph style="sc">Zvbleri</emph> <lb/>Civis Tigurini, <lb/>Programma <lb/><emph style="sc">Caspari</emph> <emph style="sc">Waseri</emph>.</head>
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39 <p style="it">
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40 <s xml:id="echoid-s1" xml:space="preserve">QV Æ tibi ſubtilis Geodæſia præmia laudis</s>
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41 </p>
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42 <p style="it">
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43 <s xml:id="echoid-s2" xml:space="preserve">Dat, <emph style="sc">Zvblere</emph> ſolers, hæc dat &amp; </s>
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44 <s xml:id="echoid-s3" xml:space="preserve">iste Liber: <lb/></s>
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45 <s xml:id="echoid-s4" xml:space="preserve">Quo terræ tractus deſcribis, &amp; </s>
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46 <s xml:id="echoid-s5" xml:space="preserve">oppida, &amp; </s>
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47 <s xml:id="echoid-s6" xml:space="preserve">arces,</s>
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48 </p>
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49 <p style="it">
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50 <s xml:id="echoid-s7" xml:space="preserve">Castráque, perſimili dexteritate animi, <lb/>Támque Instrumento facili certóque ministro,</s>
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51 </p>
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52 <p style="it">
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53 <s xml:id="echoid-s8" xml:space="preserve">Quo vix utilius certius atque ſiet. <lb/></s>
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54 <s xml:id="echoid-s9" xml:space="preserve">Huc ergo Artifices, quibus est Geográphia curæ:</s>
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55 <s xml:id="echoid-s10" xml:space="preserve"/>
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56 </p>
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57 <p style="it">
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58 <s xml:id="echoid-s11" xml:space="preserve">Huc vos electi militiæqúe duces, <lb/>Latos diſcite agros deſcribere, &amp; </s>
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59 <s xml:id="echoid-s12" xml:space="preserve">oppida, &amp; </s>
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60 <s xml:id="echoid-s13" xml:space="preserve">arces,</s>
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61 </p>
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62 <p style="it">
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63 <s xml:id="echoid-s14" xml:space="preserve">Castráque, quæ certis ſunt metienda locis: <lb/></s>
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64 <s xml:id="echoid-s15" xml:space="preserve">Hæcque ministranti <emph style="sc">Zvblero</emph> reddite grates:</s>
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65 <s xml:id="echoid-s16" xml:space="preserve"/>
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66 </p>
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67 <p style="it">
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68 <s xml:id="echoid-s17" xml:space="preserve">Tu, <emph style="sc">Zvblere</emph>, illos perge juvare aliis <lb/>Artibus. </s>
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69 <s xml:id="echoid-s18" xml:space="preserve">Omnipotens nam quæ dat donavel artes <lb/>Vni, has communes pluribus eſſe jubet.</s>
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70 <s xml:id="echoid-s19" xml:space="preserve"/>
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71 </p>
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72 <figure>
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73 <image file="0009-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0009-01"/>
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74 </figure>
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75 <pb file="0010" n="10"/>
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76 </div>
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77 <div xml:id="echoid-div3" type="section" level="1" n="3">
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78 <head xml:id="echoid-head2" xml:space="preserve"><emph style="sc">Nota</emph>.</head>
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79 <note position="right" xml:space="preserve"> <lb/>Paginâ # lineâ # errata # corrige <lb/>## { ## { <lb/>1. # 22. # eâ # eis. <lb/>5. # 3. # dimenſium # dimenſionum. <lb/>6. # 6. # F # E. <lb/>11. # 4. # quadrupes # quadrupedes. <lb/>14. # 13. # tuæ # tuâ. <lb/>17. # 4. # pagorum # pagis. <lb/>27. # 2. # cõmodatiſsimum # commendatiſsimum. <lb/>30. # 23. # {1/2} # 1 {1/2} <lb/></note>
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80 <figure>
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81 <image file="0010-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0010-01"/>
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82 </figure>
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83 <pb o="1" file="0011" n="11"/>
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84 </div>
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85 <div xml:id="echoid-div4" type="section" level="1" n="4">
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86 <head xml:id="echoid-head3" xml:space="preserve">FABRICA ET VSVS <lb/>INSTRVMENTI CHO-<lb/>ROGRAPHICI.</head>
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87 <head xml:id="echoid-head4" xml:space="preserve"><emph style="sc">Capvt</emph> I.</head>
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88 <head xml:id="echoid-head5" style="it" xml:space="preserve">De Chorographia generatim: quid ſit, &amp; quæ ad <lb/>eam Inſtrumenta poti[ſs]imùm re-<lb/>quiſita.</head>
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89 <p>
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90 <s xml:id="echoid-s20" xml:space="preserve">DE Inſtrumento novo Geometrico, quo <lb/>rerum menſurabilium longitudo, altitu-<lb/>do, latitudo &amp; </s>
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91 <s xml:id="echoid-s21" xml:space="preserve">profunditas ſingulari com-<lb/>pendio quam. </s>
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92 <s xml:id="echoid-s22" xml:space="preserve">certiſſimè menſuratur, a-<lb/>ctum eſt tractatu ſuperiore: </s>
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93 <s xml:id="echoid-s23" xml:space="preserve">ſequitur nunc <lb/>de alio Inſtrumento; </s>
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94 <s xml:id="echoid-s24" xml:space="preserve">quod chorographicum <lb/>ſiue topographicum, doctrinæ cauſsâ, vocabitur; </s>
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95 <s xml:id="echoid-s25" xml:space="preserve">quo pro-<lb/>priè regio vellocus, omniaq́ue in eo contenta, veluti mon <lb/>tes, arces urbes, pagi, villæ, &amp; </s>
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96 <s xml:id="echoid-s26" xml:space="preserve">minutiſſima quæque, propor-<lb/>tione artificiosâ in papyro ita deſcribũtur, ut non tam lon-<lb/>gitudo, altitudo, latitudo &amp; </s>
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97 <s xml:id="echoid-s27" xml:space="preserve">profunditas, quàm ſpecies &amp; </s>
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98 <s xml:id="echoid-s28" xml:space="preserve"><lb/>forma eorum clariſſimè ob oculos ponantur. </s>
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99 <s xml:id="echoid-s29" xml:space="preserve">quam proin-<lb/>de operationem ἰχνο{γρ}αφί{αν} Vitruvius quaſi veſtigiorum de-<lb/>ſcriptionem, &amp; </s>
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100 <s xml:id="echoid-s30" xml:space="preserve">{ὑπο}τύπω{οι}υ Græci alij, hoc eſt, regionum &amp; </s>
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101 <s xml:id="echoid-s31" xml:space="preserve">con <lb/>tentorum in ea efformationem ſignificanter vocarunt.</s>
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102 <s xml:id="echoid-s32" xml:space="preserve"/>
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103 </p>
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104 <p>
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105 <s xml:id="echoid-s33" xml:space="preserve">Ceterùm, ut ad rem ipſam aggrediar, Inſtrumentum <lb/>præſens Circino inprimis opus habet &amp; </s>
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106 <s xml:id="echoid-s34" xml:space="preserve">Regulâ, quam Li-<lb/>neale vulgò vocant, quæ duo præcipua Geometriæ &amp; </s>
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107 <s xml:id="echoid-s35" xml:space="preserve">Geo-<lb/>graphiæ ſunt Inſtrumenta: </s>
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108 <s xml:id="echoid-s36" xml:space="preserve">Circinus quidem ad deſcriben-<lb/>dam peripheriam adhiberi ſolitus: </s>
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109 <s xml:id="echoid-s37" xml:space="preserve">Regula verò ad dirigen-
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110 <pb o="2" file="0012" n="12" rhead="FABRICA ET VSVS"/>
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111 das lineas. </s>
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112 <s xml:id="echoid-s38" xml:space="preserve">Italis Circinus dicitur ſecto à ſecando; </s>
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113 <s xml:id="echoid-s39" xml:space="preserve">quia vide-<lb/>licet curvas &amp; </s>
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114 <s xml:id="echoid-s40" xml:space="preserve">rectas lineas quaſi ſecat in certas partes ſive <lb/>ſegmenta. </s>
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115 <s xml:id="echoid-s41" xml:space="preserve">Ob quem inſignem uſum ambo hæc Inſtrumen <lb/>ta vel à ſolertiſſimo Dædalo ipſo, vel à Talo, ejus ex ſorore <lb/>nepote inventa perhibentur, ut teſtatur Vvaltherus Rivius <lb/>&amp; </s>
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116 <s xml:id="echoid-s42" xml:space="preserve">ante eum Ovidius, his verſibus:</s>
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117 <s xml:id="echoid-s43" xml:space="preserve"/>
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118 </p>
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119 <p style="it">
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120 <s xml:id="echoid-s44" xml:space="preserve">-- Et ex vno duo ferrea brachia nodo <lb/>Junxit, ut æquali ſpatio distantibus ipſis <lb/>Alter a pars ſtaret, pars altera duceret orbem.</s>
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121 <s xml:id="echoid-s45" xml:space="preserve"/>
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122 </p>
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123 <p>
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124 <s xml:id="echoid-s46" xml:space="preserve">Alii Regulam, &amp; </s>
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125 <s xml:id="echoid-s47" xml:space="preserve">cum hac unâ Normam &amp; </s>
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126 <s xml:id="echoid-s48" xml:space="preserve">Perpendicu-<lb/>lum à Theodoro Sancio inventa eſſe volunt: </s>
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127 <s xml:id="echoid-s49" xml:space="preserve">ut menſura-<lb/>rum &amp; </s>
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128 <s xml:id="echoid-s50" xml:space="preserve">ponderum author dicitur fuiſſe Phidius Argivus, <lb/>ſive, ut Gellius autumat, Palamedes. </s>
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129 <s xml:id="echoid-s51" xml:space="preserve">Verùm utut ſit, hæc <lb/>Inſtrumenta omnia ex Geometriâ originem duxerunt, <lb/>operisq́ue fabrilibus ita ſunt neceſſaria, <lb/>ut eis carere nullo modo <lb/>poſſint.</s>
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130 <s xml:id="echoid-s52" xml:space="preserve"/>
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131 </p>
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132 <figure>
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133 <image file="0012-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0012-01"/>
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134 </figure>
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135 <pb o="3" file="0013" n="13" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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136 </div>
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137 <div xml:id="echoid-div5" type="section" level="1" n="5">
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138 <head xml:id="echoid-head6" xml:space="preserve"><emph style="sc">Capvt</emph> II. <lb/>De Inſtrumenti fabricâ.</head>
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139 <figure>
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140 <image file="0013-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0013-01"/>
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141 </figure>
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142 <p>
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143 <s xml:id="echoid-s53" xml:space="preserve">IN <emph style="sc">STRVMENTI</emph> præſentis fabrica hæc eſto: <lb/></s>
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144 <s xml:id="echoid-s54" xml:space="preserve">Aſſerem planum ex ligno duro ac ſolido tibi para <lb/>
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145 <anchor type="note" xlink:label="note-0013-01a" xlink:href="note-0013-01"/>
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146 to, ſeſquipedem circiter longum &amp; </s>
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147 <s xml:id="echoid-s55" xml:space="preserve">latum: </s>
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148 <s xml:id="echoid-s56" xml:space="preserve">craſ-<lb/>ſum verò ſeſqui circiter pollicem: </s>
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149 <s xml:id="echoid-s57" xml:space="preserve">ſub hoc facito Fulcrum <lb/>
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150 <anchor type="note" xlink:label="note-0013-02a" xlink:href="note-0013-02"/>
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151 itidem ligneum, ſed altum tres vel quatuor pedes, habens <lb/>ſupernè, vbi Aſſerimponendus eſt, crucem, longam &amp; </s>
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152 <s xml:id="echoid-s58" xml:space="preserve">la-
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153 <pb o="4" file="0014" n="14" rhead="FABRICA ET VSVS"/>
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154 tam pedem, in medioq́ue paxillum vel cuneum prominen <lb/>tem circiter pollicem, qui Aſſeri inſeri, hicq́ueillo circum-<lb/>moveri poſſir.</s>
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155 <s xml:id="echoid-s59" xml:space="preserve"/>
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156 </p>
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157 <div xml:id="echoid-div5" type="float" level="2" n="1">
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158 <note position="right" xlink:label="note-0013-01" xlink:href="note-0013-01a" xml:space="preserve">Aſſer.</note>
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159 <note position="right" xlink:label="note-0013-02" xlink:href="note-0013-02a" xml:space="preserve">Fulcrum.</note>
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160 </div>
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161 <p>
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162 <s xml:id="echoid-s60" xml:space="preserve">Perpendiculum porrò, ex filo &amp; </s>
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163 <s xml:id="echoid-s61" xml:space="preserve">plumbo fabrefactum, ful-<lb/>
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164 <anchor type="note" xlink:label="note-0014-01a" xlink:href="note-0014-01"/>
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165 cro huic affigito, quo Aſſer perpendiculariter ſemper eri-<lb/>gatur ac ſiſtatur.</s>
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166 <s xml:id="echoid-s62" xml:space="preserve"/>
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167 </p>
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168 <div xml:id="echoid-div6" type="float" level="2" n="2">
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169 <note position="left" xlink:label="note-0014-01" xlink:href="note-0014-01a" xml:space="preserve">Perpendi-<lb/>culum.</note>
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170 </div>
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171 <p>
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172 <s xml:id="echoid-s63" xml:space="preserve">Regulam etiam conficito, binos circiter pedes longam. <lb/></s>
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173 <s xml:id="echoid-s64" xml:space="preserve">
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174 <anchor type="note" xlink:label="note-0014-02a" xlink:href="note-0014-02"/>
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175 ſumptis tunc duabus Acubus bene minutis, earum unam <lb/>
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176 <anchor type="note" xlink:label="note-0014-03a" xlink:href="note-0014-03"/>
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177 Regulæ extremitati, litterâ B notatæ infigito cerâ, vel alio <lb/>modo, quæ una erit dioptra: </s>
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178 <s xml:id="echoid-s65" xml:space="preserve">alteram verò im pingito extre-<lb/>mitati A. </s>
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179 <s xml:id="echoid-s66" xml:space="preserve">in Regulâ, eritq́ hæc altera dioptra.</s>
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180 <s xml:id="echoid-s67" xml:space="preserve"/>
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181 </p>
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182 <div xml:id="echoid-div7" type="float" level="2" n="3">
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183 <note position="left" xlink:label="note-0014-02" xlink:href="note-0014-02a" xml:space="preserve">Regula.</note>
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184 <note position="left" xlink:label="note-0014-03" xlink:href="note-0014-03a" xml:space="preserve">Acus.</note>
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185 </div>
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186 <p>
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187 <s xml:id="echoid-s68" xml:space="preserve">Vſurus igitur Inſtrumento ſedulò operam da, ut id per-<lb/>pendiculare ſemper ſit, etiam in inonte te exiſtente, indeq́; <lb/></s>
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188 <s xml:id="echoid-s69" xml:space="preserve">pagos vel domos in valle ſitas, deſcribere volente. </s>
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189 <s xml:id="echoid-s70" xml:space="preserve">Aliter ſe <lb/>habet, ſi Aſſere diſtantiã montis à pago aliquo, in valle ſito, <lb/>mȩſurare velis. </s>
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190 <s xml:id="echoid-s71" xml:space="preserve">Nam etſi Aſſer tunc inclinet verſus pagum, <lb/>nihil intereſt.</s>
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191 <s xml:id="echoid-s72" xml:space="preserve"/>
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192 </p>
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193 <p>
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194 <s xml:id="echoid-s73" xml:space="preserve">Circino præterea; </s>
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195 <s xml:id="echoid-s74" xml:space="preserve">eoq́ue quàm exquiſitiſſimè facto, o-<lb/>
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196 <anchor type="note" xlink:label="note-0014-04a" xlink:href="note-0014-04"/>
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197 pus eſt, quo lineam notam, quæ linea ſi<unsure/>ationalis vocatur, &amp; </s>
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198 <s xml:id="echoid-s75" xml:space="preserve"><lb/>explorandæ longitudini &amp; </s>
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199 <s xml:id="echoid-s76" xml:space="preserve">latitudini ſervit, poſſis metiri.</s>
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200 <s xml:id="echoid-s77" xml:space="preserve"/>
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201 </p>
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202 <div xml:id="echoid-div8" type="float" level="2" n="4">
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203 <note position="left" xlink:label="note-0014-04" xlink:href="note-0014-04a" xml:space="preserve">Circinus.</note>
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204 </div>
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205 <p>
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206 <s xml:id="echoid-s78" xml:space="preserve">Scalam item menſoriam fabricator: </s>
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207 <s xml:id="echoid-s79" xml:space="preserve">quam dividito in par-<lb/>
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208 <anchor type="note" xlink:label="note-0014-05a" xlink:href="note-0014-05"/>
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209 tes 100. </s>
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210 <s xml:id="echoid-s80" xml:space="preserve">vel 1000. </s>
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211 <s xml:id="echoid-s81" xml:space="preserve">vel etiam plures, pro datâ ſcilicet longi-<lb/>tudine vellatitudine: </s>
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212 <s xml:id="echoid-s82" xml:space="preserve">reperiesq́ue in hac, mediante Circi-<lb/>no, quot ad ſtationem tuam perticas vel pedes ſum-<lb/>pſeris, &amp; </s>
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213 <s xml:id="echoid-s83" xml:space="preserve">quæ proinde ad loca da-<lb/>ta ſit diſtantia quæ-<lb/>ſita.</s>
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214 <s xml:id="echoid-s84" xml:space="preserve"/>
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215 </p>
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216 <div xml:id="echoid-div9" type="float" level="2" n="5">
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217 <note position="left" xlink:label="note-0014-05" xlink:href="note-0014-05a" xml:space="preserve">Scala men-<lb/>ſoria.</note>
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218 </div>
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219 <pb o="5" file="0015" n="15" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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220 </div>
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221 <div xml:id="echoid-div11" type="section" level="1" n="6">
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222 <head xml:id="echoid-head7" xml:space="preserve"><emph style="sc">Capvt</emph> III. <lb/>De Triangulis, omnium dimenſium<unsure/> funda-<lb/>mento.</head>
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223 <figure>
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224 <image file="0015-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0015-01"/>
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225 </figure>
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226 <p>
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227 <s xml:id="echoid-s85" xml:space="preserve"><emph style="sc">QVod</emph> ſuperiore tractatu de Inſtrumento Geo-<lb/>metrico annotatum fuit, videlicet in dimenſioni-<lb/>bus Geometricis, quibus longitudo &amp; </s>
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228 <s xml:id="echoid-s86" xml:space="preserve">latitudo re-<lb/>rum menſurabilium exploratur, duo ſemper triãgula con-<lb/>ſpici: </s>
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229 <s xml:id="echoid-s87" xml:space="preserve">unum quidem majus in campo vel areâ, aut aliâ re
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230 <pb o="6" file="0016" n="16" rhead="FABRICA ET VSVS"/>
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231 dimetiendâ: </s>
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232 <s xml:id="echoid-s88" xml:space="preserve">alterum verò parvum vel minutum in Inſtru-<lb/>mento mȩſorio, verùm proportionale illi, quod eſt in cam <lb/>po vel areâ, aut re dimetienda: </s>
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233 <s xml:id="echoid-s89" xml:space="preserve">illud velim Chorographiæ <lb/>ſtudioſum hîc quoque diligenter obſervare. </s>
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234 <s xml:id="echoid-s90" xml:space="preserve">Vt autem rem <lb/>meliùs intelligat, figuram iſtam adponendam curavi; </s>
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235 <s xml:id="echoid-s91" xml:space="preserve">in <lb/>qua triangulum ejuſmodi majus &amp; </s>
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236 <s xml:id="echoid-s92" xml:space="preserve">minus, litteris C.</s>
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237 <s xml:id="echoid-s93" xml:space="preserve">D.</s>
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238 <s xml:id="echoid-s94" xml:space="preserve">E. <lb/></s>
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239 <s xml:id="echoid-s95" xml:space="preserve">inſignitum conſpicitur. </s>
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240 <s xml:id="echoid-s96" xml:space="preserve">Quando igitur lineam notam à B <lb/>uſque ad C menſus es perticis vel pedibus, reperiſtiq́; </s>
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241 <s xml:id="echoid-s97" xml:space="preserve">per-<lb/>ticas vel pedes 140. </s>
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242 <s xml:id="echoid-s98" xml:space="preserve">eosq́ue Circino mediante ab Aſſere in <lb/>ſcalam menſoriam tranſtuliſti, reperies utriuſq; </s>
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243 <s xml:id="echoid-s99" xml:space="preserve">lineæ lon-<lb/>gitudinem quæſitam, adeò ut A. </s>
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244 <s xml:id="echoid-s100" xml:space="preserve">C. </s>
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245 <s xml:id="echoid-s101" xml:space="preserve">ſit pedum 160. </s>
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246 <s xml:id="echoid-s102" xml:space="preserve"><lb/>&amp; </s>
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247 <s xml:id="echoid-s103" xml:space="preserve">A.</s>
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248 <s xml:id="echoid-s104" xml:space="preserve">B pedum 130. </s>
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249 <s xml:id="echoid-s105" xml:space="preserve">veluti in adjecta figura <lb/>ſignatum vides iiſdem litte-<lb/>ris A.</s>
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250 <s xml:id="echoid-s106" xml:space="preserve">B. </s>
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251 <s xml:id="echoid-s107" xml:space="preserve">&amp; </s>
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252 <s xml:id="echoid-s108" xml:space="preserve">C.</s>
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253 <s xml:id="echoid-s109" xml:space="preserve">D.</s>
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254 <s xml:id="echoid-s110" xml:space="preserve"/>
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255 </p>
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256 <figure>
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257 <image file="0016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0016-01"/>
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258 </figure>
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259 <pb o="7" file="0017" n="17" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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260 </div>
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261 <div xml:id="echoid-div12" type="section" level="1" n="7">
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262 <head xml:id="echoid-head8" xml:space="preserve"><emph style="sc">Capvt</emph> IV. <lb/>De Instrumenti uſu in deſcribendâ Regione vel loco <lb/>vltra aquas.</head>
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263 <figure>
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264 <image file="0017-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0017-01"/>
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265 </figure>
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266 <p>
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267 <s xml:id="echoid-s111" xml:space="preserve"><emph style="sc">REgionem</emph> ultra aquas deſcripturus duas eli-<lb/>ge ſtationes. </s>
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268 <s xml:id="echoid-s112" xml:space="preserve">unde regio@em vel locum quæſitum <lb/>probè videre poſſis. </s>
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269 <s xml:id="echoid-s113" xml:space="preserve">Aſſerem deinde diſpone ſupra <lb/>fulcrum, juxta doctrinam capitis 2. </s>
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270 <s xml:id="echoid-s114" xml:space="preserve">vel ſi fulcri ſupponendi <lb/>commoditas non eſt, ſupra lapidem aut truncum vel ſcam
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271 <pb o="8" file="0018" n="18" rhead="FABRICA ET VSVS"/>
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272 num. </s>
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273 <s xml:id="echoid-s115" xml:space="preserve">Eo tunc firmato, ut neutrorſum moveri queat, pone <lb/>Regulam cum affixâ ei acu in Aſſere, impingeq́ue illi e-<lb/>tiam alteram acum, &amp; </s>
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274 <s xml:id="echoid-s116" xml:space="preserve">move Regulam verſus ſecundam <lb/>ſtationem, ducq́ue lineam rectam ſecundùm Regulam per <lb/>Aſſerem, &amp; </s>
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275 <s xml:id="echoid-s117" xml:space="preserve">locum nota, in quo acus A defixa eſt. </s>
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276 <s xml:id="echoid-s118" xml:space="preserve">Regulam <lb/>inde move verſus C. </s>
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277 <s xml:id="echoid-s119" xml:space="preserve">&amp; </s>
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278 <s xml:id="echoid-s120" xml:space="preserve">iterum lineam duc per Aſſerem: <lb/></s>
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279 <s xml:id="echoid-s121" xml:space="preserve">quam nota litterâ C.</s>
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280 <s xml:id="echoid-s122" xml:space="preserve"/>
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281 </p>
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282 <p>
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283 <s xml:id="echoid-s123" xml:space="preserve">Progreſſus ad ſecundam ſtationem, relicto ad primam <lb/>ſigno, diſpone Aſſerem, ut antè in primâ ſtatione, dirigeq́; <lb/></s>
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284 <s xml:id="echoid-s124" xml:space="preserve">illum cum Regulâ in linea ſtationali verſus ſtationem pri-<lb/>mam: </s>
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285 <s xml:id="echoid-s125" xml:space="preserve">hoc firmato, ne tantillulùm moveri poſſit (Nam a-<lb/>lioqui omnis labor irritus eſſet) ſpatium intermedium ſta-<lb/>tionum metire.</s>
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286 <s xml:id="echoid-s126" xml:space="preserve"/>
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287 </p>
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288 <p>
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289 <s xml:id="echoid-s127" xml:space="preserve">Exemplo res fiet illuſtrior. </s>
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290 <s xml:id="echoid-s128" xml:space="preserve">En finge, te reperiſſe pedes 76. <lb/></s>
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291 <s xml:id="echoid-s129" xml:space="preserve">ſume igitur acum ex A. </s>
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292 <s xml:id="echoid-s130" xml:space="preserve">&amp; </s>
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293 <s xml:id="echoid-s131" xml:space="preserve">fige illam in lineâ ſtationali in B. </s>
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294 <s xml:id="echoid-s132" xml:space="preserve"><lb/>ut in figurâ adum bratum vides, Regulamq́; </s>
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295 <s xml:id="echoid-s133" xml:space="preserve">colloca ad a-<lb/>cum prope B. </s>
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296 <s xml:id="echoid-s134" xml:space="preserve">Illam move verſus C in campo notatum, iti-<lb/>demq́; </s>
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297 <s xml:id="echoid-s135" xml:space="preserve">lineam duc per Aſſerem, quæ lineam AC interſe-<lb/>cet. </s>
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298 <s xml:id="echoid-s136" xml:space="preserve">Et ſi interſectio fieri non poteſt, acum ex B ſumito, &amp; </s>
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299 <s xml:id="echoid-s137" xml:space="preserve"><lb/>
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300 <anchor type="note" xlink:label="note-0018-01a" xlink:href="note-0018-01"/>
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301 propiuſculè verſus A illam moveto ac infigito, tantiſper, <lb/>dum utriuſq; </s>
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302 <s xml:id="echoid-s138" xml:space="preserve">lineæ interſectionem in Aſſere potes habere. <lb/></s>
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303 <s xml:id="echoid-s139" xml:space="preserve">Sumetunc Circinum &amp; </s>
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304 <s xml:id="echoid-s140" xml:space="preserve">poſito uno crure ejus in A. </s>
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305 <s xml:id="echoid-s141" xml:space="preserve">altero <lb/>verò in B. </s>
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306 <s xml:id="echoid-s142" xml:space="preserve">ubi fixa eſt acus, ſpatium ſumptū in ſcalam men-<lb/>ſoriam transfer, ut factum vides in figurâ, reperiesq́; </s>
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307 <s xml:id="echoid-s143" xml:space="preserve">pedes <lb/>76. </s>
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308 <s xml:id="echoid-s144" xml:space="preserve">quæ ſtatio tua eſt &amp; </s>
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309 <s xml:id="echoid-s145" xml:space="preserve">linea nota. </s>
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310 <s xml:id="echoid-s146" xml:space="preserve">Crus præterea unum <lb/>Circini pone in litterâ A &amp; </s>
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311 <s xml:id="echoid-s147" xml:space="preserve">alterum in C Aſſeris, itidemq́; </s>
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312 <s xml:id="echoid-s148" xml:space="preserve"><lb/>ſpatium iſthoc immotum transfer in ſcalam menſoriam;</s>
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313 <s xml:id="echoid-s149" xml:space="preserve"><unsure/> <lb/>reperiesq́ue pedes 80. </s>
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314 <s xml:id="echoid-s150" xml:space="preserve">Item pone crus unum Circini in B. </s>
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315 <s xml:id="echoid-s151" xml:space="preserve"><lb/>&amp; </s>
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316 <s xml:id="echoid-s152" xml:space="preserve">alterum in punctum C. </s>
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317 <s xml:id="echoid-s153" xml:space="preserve">reperiesq́ue in @calâ menſoriâ <lb/>puncta 123. </s>
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318 <s xml:id="echoid-s154" xml:space="preserve">Tot igitur ab Aſ@ere @uo, ubi ſtatio tua eſt, uſq; </s>
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319 <s xml:id="echoid-s155" xml:space="preserve"><lb/>ad C ſunt pedes, nempe 123.</s>
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320 <s xml:id="echoid-s156" xml:space="preserve"/>
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321 </p>
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322 <div xml:id="echoid-div12" type="float" level="2" n="1">
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323 <note position="left" xlink:label="note-0018-01" xlink:href="note-0018-01a" xml:space="preserve">Nota.</note>
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324 </div>
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325 <p>
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326 <s xml:id="echoid-s157" xml:space="preserve">Ceterùm nota, In deſcriptione &amp; </s>
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327 <s xml:id="echoid-s158" xml:space="preserve">figuris adjectis ſtatio-<lb/>
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328 <anchor type="note" xlink:label="note-0018-02a" xlink:href="note-0018-02"/>
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329 nes omnes ſumtas &amp; </s>
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330 <s xml:id="echoid-s159" xml:space="preserve">deſcriptas eſſe à ſiniſtra dextrorſum: <lb/></s>
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331 <s xml:id="echoid-s160" xml:space="preserve">quanquam nihil intereſt, quomodocunq; </s>
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332 <s xml:id="echoid-s161" xml:space="preserve">ſumas: </s>
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333 <s xml:id="echoid-s162" xml:space="preserve">modò è <lb/>commodo tuo ſiet.</s>
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334 <s xml:id="echoid-s163" xml:space="preserve"/>
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335 </p>
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336 <div xml:id="echoid-div13" type="float" level="2" n="2">
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337 <note position="left" xlink:label="note-0018-02" xlink:href="note-0018-02a" xml:space="preserve">Nota.</note>
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338 </div>
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339 <pb o="9" file="0019" n="19" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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340 </div>
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341 <div xml:id="echoid-div15" type="section" level="1" n="8">
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342 <head xml:id="echoid-head9" xml:space="preserve"><emph style="sc">Capvt</emph> V. <lb/>De Instrumenti uſu in deſcribendis duobus locis: quan-<lb/>tum item ſingula à ſe distent.</head>
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343 <figure>
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344 <image file="0019-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0019-01"/>
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345 </figure>
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346 <p>
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347 <s xml:id="echoid-s164" xml:space="preserve"><emph style="sc">DVas</emph> ad hancetiam deſcriptionem ſtationes eli-<lb/>ge: </s>
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348 <s xml:id="echoid-s165" xml:space="preserve">è quibus binos locos quæſitos undique con-<lb/>templari poſſis. </s>
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349 <s xml:id="echoid-s166" xml:space="preserve">Aſſerem tunc pone perpendicula-<lb/>riter, &amp; </s>
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350 <s xml:id="echoid-s167" xml:space="preserve">Regulam verſus ſecundam ſtationem move, perq́; <lb/></s>
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351 <s xml:id="echoid-s168" xml:space="preserve">Aſſerem duc lineam, quam litterâ A nota, juxta doctrinam
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352 <pb o="10" file="0020" n="20" rhead="FABRICA ET VSVS"/>
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353 cap.</s>
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354 <s xml:id="echoid-s169" xml:space="preserve">4. </s>
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355 <s xml:id="echoid-s170" xml:space="preserve">&amp; </s>
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356 <s xml:id="echoid-s171" xml:space="preserve">acum erectam in ea pone. </s>
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357 <s xml:id="echoid-s172" xml:space="preserve">Inde Regulam move <lb/>verſus C &amp; </s>
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358 <s xml:id="echoid-s173" xml:space="preserve">itidem per Aſſerem duc lineam. </s>
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359 <s xml:id="echoid-s174" xml:space="preserve">Regulâ porrò <lb/>motâ verſus D. </s>
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360 <s xml:id="echoid-s175" xml:space="preserve">&amp; </s>
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361 <s xml:id="echoid-s176" xml:space="preserve">ſimiliter lineâ ductâ per Aſſerem, hunc <lb/>aufer, &amp;</s>
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362 <s xml:id="echoid-s177" xml:space="preserve">, relicto ibi ſigno, progredere ad ſtationem ſecun-<lb/>dam, dirigeq́ue lineam A verſus primam, planè ut ſtetit <lb/>antè qualis linea ſlationalis ſive nota linea hactenus vocata <lb/>eſt &amp; </s>
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363 <s xml:id="echoid-s178" xml:space="preserve">vocabitur. </s>
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364 <s xml:id="echoid-s179" xml:space="preserve">Per hanc et enim reliquæ lineæ omnes in-<lb/>noteſcunt. </s>
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365 <s xml:id="echoid-s180" xml:space="preserve">Metire tunc ſtationum ſpatium intermedium <lb/>perticis, ſingulis 16 pedes continentibus, quales ad Agri-<lb/>menſuram vulgò ad hibentur reperiesq́; </s>
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366 <s xml:id="echoid-s181" xml:space="preserve">perticas 65.</s>
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367 <s xml:id="echoid-s182" xml:space="preserve"/>
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368 </p>
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369 <p>
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370 <s xml:id="echoid-s183" xml:space="preserve">Sume porrò acum ex A. </s>
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371 <s xml:id="echoid-s184" xml:space="preserve">&amp; </s>
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372 <s xml:id="echoid-s185" xml:space="preserve">fige illam in puncto B ut in fi-<lb/>gurâ depictum cernis, lineasq́ue duc ex B in C &amp; </s>
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373 <s xml:id="echoid-s186" xml:space="preserve">D quæ li-<lb/>neas ſignatas in Aſſere interſecent. </s>
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374 <s xml:id="echoid-s187" xml:space="preserve">ſi jam lineam duxeris à <lb/>puncto C in punctum ſive interſectionem D. </s>
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375 <s xml:id="echoid-s188" xml:space="preserve">habebis to-<lb/>pographiam utriuſque loci quæſitam.</s>
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376 <s xml:id="echoid-s189" xml:space="preserve"/>
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377 </p>
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378 <p>
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379 <s xml:id="echoid-s190" xml:space="preserve">Cupiens porrò ſcire, quantum ſingula bina loca ab u-<lb/>traque ſtatione tua diſtent, quantumq́ue diſtent illa à ſe, <lb/>operare juxta doctrinam capitis præcedentis: </s>
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380 <s xml:id="echoid-s191" xml:space="preserve">reperiesq́ue, <lb/>ſi, Circino mediante, de Aſſerein ſcalam menſoriam om-<lb/>nia ritè tranſtuleris, perticas vel pedes quæſitos.</s>
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381 <s xml:id="echoid-s192" xml:space="preserve"/>
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382 </p>
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383 <p>
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384 <s xml:id="echoid-s193" xml:space="preserve">Inductio integra eſt talis:</s>
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385 <s xml:id="echoid-s194" xml:space="preserve"/>
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386 </p>
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387 <p>
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388 <s xml:id="echoid-s195" xml:space="preserve">Ab Aad { C \\ D } ſunt perticæ { 140 \\ 120} quæ faciunt pedes { 2240. </s>
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389 <s xml:id="echoid-s196" xml:space="preserve">\\ 1920.</s>
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390 <s xml:id="echoid-s197" xml:space="preserve"/>
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391 </p>
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392 <p>
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393 <s xml:id="echoid-s198" xml:space="preserve">AB ad { C \\ D } ſunt perticæ { 100 \\ 158 } quæ faciunt pedes { 1600. </s>
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394 <s xml:id="echoid-s199" xml:space="preserve">\\ 2528.</s>
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395 <s xml:id="echoid-s200" xml:space="preserve"/>
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396 </p>
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397 <p>
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398 <s xml:id="echoid-s201" xml:space="preserve">AC ad D ſunt perticæ 160. </s>
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399 <s xml:id="echoid-s202" xml:space="preserve">quæ faciunt ped. </s>
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400 <s xml:id="echoid-s203" xml:space="preserve">2560.</s>
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401 <s xml:id="echoid-s204" xml:space="preserve"/>
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402 </p>
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403 <pb o="11" file="0021" n="21" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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404 </div>
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405 <div xml:id="echoid-div16" type="section" level="1" n="9">
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406 <head xml:id="echoid-head10" xml:space="preserve"><emph style="sc">Capvt</emph> VI. <lb/>De Inſtr umenti uſu in deſcribendo Prato, &amp; c.</head>
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407 <figure>
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408 <image file="0021-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0021-01"/>
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409 </figure>
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410 <p>
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411 <s xml:id="echoid-s205" xml:space="preserve"><emph style="sc">PRatvm</emph>, in quo quadrupes<unsure/> degunt, deſcriptu-<lb/>rus iterum duas ſtationes elige; </s>
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412 <s xml:id="echoid-s206" xml:space="preserve">easq́ue ad duos <lb/>Prati angulos. </s>
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413 <s xml:id="echoid-s207" xml:space="preserve">unde ejus circumjectam ſuperfi-<lb/>ciem egregiè ſpectare poſſis. </s>
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414 <s xml:id="echoid-s208" xml:space="preserve">Aſſere tunc ritè diſpoſito, &amp; </s>
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415 <s xml:id="echoid-s209" xml:space="preserve"><lb/>Regulâ motâ ad alterum Prati angulum, in quo ſtationem <lb/>elegiſti, acum fige in Aſſere, hancq́ue nota litterâ A. </s>
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416 <s xml:id="echoid-s210" xml:space="preserve">ſi por-
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417 <pb o="12" file="0022" n="22" rhead="FABRICA ET VSVS"/>
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418 rò Regulam moveris ab uno angulo Prati ad alterum, li-<lb/>neasq́ue in Aſſere duxeris, notatas literis C.</s>
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419 <s xml:id="echoid-s211" xml:space="preserve">D.</s>
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420 <s xml:id="echoid-s212" xml:space="preserve">E.</s>
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421 <s xml:id="echoid-s213" xml:space="preserve">F.</s>
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422 <s xml:id="echoid-s214" xml:space="preserve">G.</s>
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423 <s xml:id="echoid-s215" xml:space="preserve">H. <lb/></s>
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424 <s xml:id="echoid-s216" xml:space="preserve">velut in figurâ clariſſimè apparet, progredere ad ſecūdam <lb/>ſtationem, lineamq́; </s>
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425 <s xml:id="echoid-s217" xml:space="preserve">ſtationalem dirige ad primam, &amp; </s>
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426 <s xml:id="echoid-s218" xml:space="preserve">Aſ-<lb/>ſerem ſiſte, acumq́ue ſumtam ex A in B fige, &amp; </s>
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427 <s xml:id="echoid-s219" xml:space="preserve">Regulam <lb/>move verſus locum longiſſimè patentem, videq́ue, an Re-<lb/>gula lineam Aſſeris interſecet. </s>
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428 <s xml:id="echoid-s220" xml:space="preserve">Nam aliâs, ut ſuprà dictum, <lb/>acus propiuſculè verſus A moveri debet, tantiſper dum in-<lb/>terſectio fiat. </s>
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429 <s xml:id="echoid-s221" xml:space="preserve">Iterum tunc lineam duc à B cum dioptrâ ad <lb/>omnes litteras Prati circum quaque.</s>
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430 <s xml:id="echoid-s222" xml:space="preserve"/>
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431 </p>
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432 <p>
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433 <s xml:id="echoid-s223" xml:space="preserve">In Aſſere cum Regulâ tunc lineam ducito à C verſus D. <lb/></s>
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434 <s xml:id="echoid-s224" xml:space="preserve">&amp; </s>
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435 <s xml:id="echoid-s225" xml:space="preserve">item lineam à D ad E. </s>
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436 <s xml:id="echoid-s226" xml:space="preserve">&amp; </s>
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437 <s xml:id="echoid-s227" xml:space="preserve">ab E ad F. </s>
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438 <s xml:id="echoid-s228" xml:space="preserve">&amp; </s>
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439 <s xml:id="echoid-s229" xml:space="preserve">ab F. </s>
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440 <s xml:id="echoid-s230" xml:space="preserve">ad G. </s>
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441 <s xml:id="echoid-s231" xml:space="preserve">&amp; </s>
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442 <s xml:id="echoid-s232" xml:space="preserve">à G ad <lb/>H. </s>
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443 <s xml:id="echoid-s233" xml:space="preserve">habebisq́; </s>
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444 <s xml:id="echoid-s234" xml:space="preserve">totam Prati circumferentiam quaſi in Aſſere <lb/>concluſam.</s>
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445 <s xml:id="echoid-s235" xml:space="preserve"/>
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446 </p>
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447 <p>
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448 <s xml:id="echoid-s236" xml:space="preserve">Cupiens igitur ſcire, quæ Prati totius magnitudo peri-<lb/>pherica ſit, ſic operare: </s>
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449 <s xml:id="echoid-s237" xml:space="preserve">Metire à prima ſtatione ad ſecun-<lb/>dam quot perticas vel pedes habeas: </s>
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450 <s xml:id="echoid-s238" xml:space="preserve">reperiesq́ue perticas <lb/>112. </s>
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451 <s xml:id="echoid-s239" xml:space="preserve">Hanc diſtantiam Circino mediante transfer in ſca-<lb/>lam menſoriam, ut itidem ex figura apparet, eritq́ue hæc <lb/>inductio:</s>
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452 <s xml:id="echoid-s240" xml:space="preserve"/>
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453 </p>
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454 <p>
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455 <s xml:id="echoid-s241" xml:space="preserve">Ab { A \\ B \\ C \\ D \\ E \\ F \\ G } ad { B \\ C \\ D \\ E \\ F \\ G \\ A } ſunt perticæ { 112 \\ 85 \\ 60 \\ 94 \\ 85 \\ 64 \\ 82 } quæ faciunt \\ pedes { 1792. </s>
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456 <s xml:id="echoid-s242" xml:space="preserve">\\ 1360. </s>
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457 <s xml:id="echoid-s243" xml:space="preserve">\\ 960. </s>
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458 <s xml:id="echoid-s244" xml:space="preserve">\\ 1504. </s>
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459 <s xml:id="echoid-s245" xml:space="preserve">\\ 1360. </s>
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460 <s xml:id="echoid-s246" xml:space="preserve">\\ 1024. </s>
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461 <s xml:id="echoid-s247" xml:space="preserve">\\ 1312.</s>
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462 <s xml:id="echoid-s248" xml:space="preserve"/>
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463 </p>
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464 <p>
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465 <s xml:id="echoid-s249" xml:space="preserve">Summa, perticæ 582. </s>
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466 <s xml:id="echoid-s250" xml:space="preserve">pedes 9312.</s>
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467 <s xml:id="echoid-s251" xml:space="preserve"/>
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468 </p>
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469 <pb o="13" file="0023" n="23" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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470 </div>
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471 <div xml:id="echoid-div17" type="section" level="1" n="10">
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472 <head xml:id="echoid-head11" xml:space="preserve"><emph style="sc">Capvt</emph> VII. <lb/>De Instrumenti uſu in deſcribendis quatuor Pagis: <lb/>&amp; quantum hi à ſe distent.</head>
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473 <figure>
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474 <image file="0023-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0023-01"/>
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475 </figure>
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476 <p>
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477 <s xml:id="echoid-s252" xml:space="preserve"><emph style="sc">DEscriptvrvs</emph> quatuor Pagos, in campo <lb/>plano ſitos, elige ſimiliter duas ſtationes, ut antè. <lb/></s>
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478 <s xml:id="echoid-s253" xml:space="preserve">unde illos itidem rectè contemplari poſſis. </s>
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479 <s xml:id="echoid-s254" xml:space="preserve">Aſſere <lb/>tunc ritè diſpoſito, &amp; </s>
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480 <s xml:id="echoid-s255" xml:space="preserve">Regulâ illuc motâ, ubi ſecundam e-<lb/>legiſti ſtationem, acum figein lineâ, eam q́ue litterâ A nota.</s>
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481 <s xml:id="echoid-s256" xml:space="preserve">
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482 <pb o="14" file="0024" n="24" rhead="FABRICA ET VSVS"/>
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483 Ab hoc A duc lineas in Aſſere verſus quatuor Pagos deſcri-<lb/>bendos, &amp; </s>
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484 <s xml:id="echoid-s257" xml:space="preserve">has litteris C.</s>
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485 <s xml:id="echoid-s258" xml:space="preserve">D.</s>
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486 <s xml:id="echoid-s259" xml:space="preserve">E.</s>
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487 <s xml:id="echoid-s260" xml:space="preserve">F. </s>
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488 <s xml:id="echoid-s261" xml:space="preserve">not ato,<unsure/> @uxta figuram.</s>
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489 <s xml:id="echoid-s262" xml:space="preserve"/>
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490 </p>
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491 <p>
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492 <s xml:id="echoid-s263" xml:space="preserve">Progreſſu facto ad ſtationem ſecundam, quam elegiſti, <lb/>&amp; </s>
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493 <s xml:id="echoid-s264" xml:space="preserve">ad quam ſtationis Regulam direxiſti, Aſſerem iterum <lb/>diſpone juxta lineam ſtationalem, ſpatium q́ue interme-<lb/>dium ſtationum metire: </s>
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494 <s xml:id="echoid-s265" xml:space="preserve">reperiesq́ue perticas 400. </s>
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495 <s xml:id="echoid-s266" xml:space="preserve">Aufer <lb/>acum ex A. </s>
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496 <s xml:id="echoid-s267" xml:space="preserve">&amp; </s>
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497 <s xml:id="echoid-s268" xml:space="preserve">hanc ſupra lineam ſtationalem in B fige, da-<lb/>q́ue operam, ut hîc quoque Aſſeris lineæ interſecentur: </s>
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498 <s xml:id="echoid-s269" xml:space="preserve">re-<lb/>periesq́ue à primâ ſtatione, litterâ A notatâ in Aſſere, uſq; <lb/></s>
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499 <s xml:id="echoid-s270" xml:space="preserve">ad C perticas 570. </s>
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500 <s xml:id="echoid-s271" xml:space="preserve">&amp; </s>
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501 <s xml:id="echoid-s272" xml:space="preserve">ad D perticas 445. </s>
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502 <s xml:id="echoid-s273" xml:space="preserve">&amp; </s>
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503 <s xml:id="echoid-s274" xml:space="preserve">ad Pagum E <lb/>perticas 417. </s>
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504 <s xml:id="echoid-s275" xml:space="preserve">&amp; </s>
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505 <s xml:id="echoid-s276" xml:space="preserve">ad F perticas 367. </s>
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506 <s xml:id="echoid-s277" xml:space="preserve">habesq́ue deſcriptam <lb/>diſtantiam integram à primâ tuâ ſtatione ad quatuor Pa-<lb/>gos, juxta perticas, ſingulis 16 pedes continentibus ut <lb/>dictum.</s>
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507 <s xml:id="echoid-s278" xml:space="preserve"/>
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508 </p>
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509 <p>
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510 <s xml:id="echoid-s279" xml:space="preserve">Si porrò cognoſcere cupis, quantum ſinguli quaterni <lb/>Pagi diſtent à ſe, lineas ducito ab unâ litterâ ad alteram, &amp; </s>
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511 <s xml:id="echoid-s280" xml:space="preserve"><lb/>diſtantiam cujusq́ue Circino in ſcalam menſoriam trans-<lb/>fer: </s>
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512 <s xml:id="echoid-s281" xml:space="preserve">erit q́ue hæc Inductio:</s>
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513 <s xml:id="echoid-s282" xml:space="preserve"/>
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514 </p>
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515 <p>
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516 <s xml:id="echoid-s283" xml:space="preserve">Ab A ad { C \\ D \\ E \\ F } ſunt perticæ { 570 \\ 400 \\ 417 \\ 260 } quæ faciunt \\ pedes { 9120. </s>
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517 <s xml:id="echoid-s284" xml:space="preserve">\\ 6400. </s>
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518 <s xml:id="echoid-s285" xml:space="preserve">\\ 6672. </s>
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519 <s xml:id="echoid-s286" xml:space="preserve">\\ 4160.</s>
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520 <s xml:id="echoid-s287" xml:space="preserve"/>
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521 </p>
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522 <p>
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523 <s xml:id="echoid-s288" xml:space="preserve">Sic à Pa- \\ go { C \\ D \\ E } ad { D \\ E \\ F } ſunt \\ perticæ { 163 \\ 175 \\ 193 } quæ faciunt \\ pedes { 2608. </s>
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524 <s xml:id="echoid-s289" xml:space="preserve">\\ 2800. </s>
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525 <s xml:id="echoid-s290" xml:space="preserve">\\ 3088.</s>
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526 <s xml:id="echoid-s291" xml:space="preserve"/>
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527 </p>
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528 <pb o="15" file="0025" n="25" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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529 </div>
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530 <div xml:id="echoid-div18" type="section" level="1" n="11">
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531 <head xml:id="echoid-head12" xml:space="preserve"><emph style="sc">Capvt</emph> VIII. <lb/>De Inſtrumenti uſu in deſcribendo Viva-<lb/>rio, &amp; c.</head>
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532 <figure>
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533 <image file="0025-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0025-01"/>
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534 </figure>
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535 <p>
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536 <s xml:id="echoid-s292" xml:space="preserve"><emph style="sc">VIvarivm</emph>, in quo piſces continentur, deſcri-<lb/>pturus, ſimiliter duas ſtationes commodas elige, <lb/>ad duos videlicet Vivarii angulos, è quibus totum <lb/>Vivarium circumſpicere poſſis. </s>
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537 <s xml:id="echoid-s293" xml:space="preserve">Iterum ritè diſpoſito Aſſe-<lb/>re &amp; </s>
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538 <s xml:id="echoid-s294" xml:space="preserve">fic firmato, ut moveri nequeat, lineam duc pereum
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539 <pb o="16" file="0026" n="26" rhead="FABRICA ET VSVS"/>
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540 verſus ſecundam ſtationem, quæ linea eſt ſtationalis: </s>
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541 <s xml:id="echoid-s295" xml:space="preserve">hac <lb/>notatâ ibi, ubi acus A fixa eſt, lineas in Aſſere duc ab una-<lb/>quaque litterâ ad aliam circum circa totum Vivarium, ut <lb/>docet figura litteris A.</s>
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542 <s xml:id="echoid-s296" xml:space="preserve">B.</s>
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543 <s xml:id="echoid-s297" xml:space="preserve">C.</s>
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544 <s xml:id="echoid-s298" xml:space="preserve">D.</s>
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545 <s xml:id="echoid-s299" xml:space="preserve">E.</s>
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546 <s xml:id="echoid-s300" xml:space="preserve">F. </s>
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547 <s xml:id="echoid-s301" xml:space="preserve">inſignita,</s>
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548 </p>
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549 <p>
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550 <s xml:id="echoid-s302" xml:space="preserve">Progreſſus deinde ad ſecundam ſtationem, ſtationalem <lb/>lineam dirige verſus primam ſtationem, intermedium q́ue <lb/>ſpatium metire: </s>
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551 <s xml:id="echoid-s303" xml:space="preserve">&amp; </s>
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552 <s xml:id="echoid-s304" xml:space="preserve">reperies pedes 330. </s>
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553 <s xml:id="echoid-s305" xml:space="preserve">Acum tunc remove <lb/>ex A &amp; </s>
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554 <s xml:id="echoid-s306" xml:space="preserve">illam in B fige, juxta doctrinam ſuperiorem, vide-<lb/>q́ue hîc etiam, ut lineæ in Aſſere ſeſe interſecent. </s>
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555 <s xml:id="echoid-s307" xml:space="preserve">Nam a-<lb/>liâs acus verſus A debet moveri, tantiſper, dum interſectio <lb/>fiat. </s>
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556 <s xml:id="echoid-s308" xml:space="preserve">Regulam inde move ad locum maximè diſſitum, hinc-<lb/>q́ue lineas per Aſſerem omnes ducito: </s>
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557 <s xml:id="echoid-s309" xml:space="preserve">&amp; </s>
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558 <s xml:id="echoid-s310" xml:space="preserve">facilè citoq́; </s>
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559 <s xml:id="echoid-s311" xml:space="preserve">rem <lb/>totam expedies. </s>
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560 <s xml:id="echoid-s312" xml:space="preserve">Hoc facto, lineam ducito in Aſſere ab in-<lb/>terſectione B ad C. </s>
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561 <s xml:id="echoid-s313" xml:space="preserve">&amp; </s>
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562 <s xml:id="echoid-s314" xml:space="preserve">item unam à C ad D. </s>
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563 <s xml:id="echoid-s315" xml:space="preserve">itidem q́ue ad E. <lb/></s>
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564 <s xml:id="echoid-s316" xml:space="preserve">F. </s>
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565 <s xml:id="echoid-s317" xml:space="preserve">&amp; </s>
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566 <s xml:id="echoid-s318" xml:space="preserve">A. </s>
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567 <s xml:id="echoid-s319" xml:space="preserve">habebisq́ue totam Vivarii proportionem in Aſſere <lb/>concluſam. </s>
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568 <s xml:id="echoid-s320" xml:space="preserve">Hanc porrò integram diviſionem ſi mediante <lb/>Circino transferas ab Aſſere in Scalam menſoriam, ab una <lb/>litterâ ad aliam gradatim, habebis deſcriptionem Vivarii <lb/>quæſitam.</s>
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569 <s xml:id="echoid-s321" xml:space="preserve"/>
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570 </p>
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571 <p>
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572 <s xml:id="echoid-s322" xml:space="preserve">Inductio talis eſt:</s>
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573 <s xml:id="echoid-s323" xml:space="preserve"/>
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574 </p>
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575 <p>
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576 <s xml:id="echoid-s324" xml:space="preserve">Ab { A \\ B \\ C \\ D \\ E} uſque ad { B \\ C \\ D \\ E \\ F \\ A} ſunt pedes { 330. </s>
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577 <s xml:id="echoid-s325" xml:space="preserve">\\ 210, \\ 180. </s>
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578 <s xml:id="echoid-s326" xml:space="preserve">\\ 240. </s>
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579 <s xml:id="echoid-s327" xml:space="preserve">\\ 212. </s>
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580 <s xml:id="echoid-s328" xml:space="preserve">\\ 300.</s>
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581 <s xml:id="echoid-s329" xml:space="preserve"/>
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582 </p>
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583 <p>
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584 <s xml:id="echoid-s330" xml:space="preserve">Summa, pedes 1472.</s>
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585 <s xml:id="echoid-s331" xml:space="preserve"/>
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586 </p>
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587 <pb o="17" file="0027" n="27" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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588 </div>
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589 <div xml:id="echoid-div19" type="section" level="1" n="12">
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590 <head xml:id="echoid-head13" xml:space="preserve"><emph style="sc">Capvt</emph> IX. <lb/>De Instrumenti uſu in deſcribenda totâ Regione, &amp; <lb/>Pagorum ejus.</head>
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591 <figure>
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592 <image file="0027-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0027-01"/>
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593 </figure>
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594 <p>
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595 <s xml:id="echoid-s332" xml:space="preserve"><emph style="sc">DEscriptvrvs</emph> totam quam piam Regio-<lb/>nem cum Pagis in ea contentis, ſi diſtantia unica <lb/>tantùm à Pago uno ad alterum tibinota ſit, ſic o-<lb/>perare: </s>
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596 <s xml:id="echoid-s333" xml:space="preserve">Elige, pro more duas ſtationes, &amp; </s>
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597 <s xml:id="echoid-s334" xml:space="preserve">Aſſerem juſtè diſ-<lb/>poſitum immobiliter firma: </s>
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598 <s xml:id="echoid-s335" xml:space="preserve">Regulam tunc move verſus
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599 <pb o="18" file="0028" n="28" rhead="FABRICA ET VSVS"/>
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600 ſtationem ſecundam, lineamq́ue duc per Aſſerem: </s>
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601 <s xml:id="echoid-s336" xml:space="preserve">move <lb/>dein de Regulam ad Pagum C. </s>
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602 <s xml:id="echoid-s337" xml:space="preserve">&amp; </s>
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603 <s xml:id="echoid-s338" xml:space="preserve">item ad D. </s>
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604 <s xml:id="echoid-s339" xml:space="preserve">E. </s>
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605 <s xml:id="echoid-s340" xml:space="preserve">F. </s>
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606 <s xml:id="echoid-s341" xml:space="preserve">G.</s>
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607 <s xml:id="echoid-s342" xml:space="preserve"/>
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608 </p>
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609 <p>
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610 <s xml:id="echoid-s343" xml:space="preserve">Quòd ſi tres reliquos Pagos viſu aſſe quinequeas, quip-<lb/>pe vel ſaltu interjecto, vel tumulis, vel aliis impedimentis <lb/>obſtantibus, tunc iterum duas ſtationes elige, ut dicetur <lb/>paullò inferiùs. </s>
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611 <s xml:id="echoid-s344" xml:space="preserve">Progreſſus inde à prima ſtatione ad ſecun-<lb/>dam, Aſſerem cum lineâ ſtationali diſpone &amp; </s>
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612 <s xml:id="echoid-s345" xml:space="preserve">dirige verſus <lb/>ſtationem primam, ſumtamq́ue acum ex A in B fige, &amp; </s>
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613 <s xml:id="echoid-s346" xml:space="preserve">Re-<lb/>gulam cum dioptrâ move ad C. </s>
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614 <s xml:id="echoid-s347" xml:space="preserve">D. </s>
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615 <s xml:id="echoid-s348" xml:space="preserve">E. </s>
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616 <s xml:id="echoid-s349" xml:space="preserve">F. </s>
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617 <s xml:id="echoid-s350" xml:space="preserve">G. </s>
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618 <s xml:id="echoid-s351" xml:space="preserve">quò in primâ e-<lb/>tiam ſtatione metiebaris, operam q́ue da, ut lineæ in Aſſere <lb/>omnes ſeſe interſecent. </s>
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619 <s xml:id="echoid-s352" xml:space="preserve">Tunc ſtationum ambarum ſpa-<lb/>tium intermedium metire, reperies q́ue perticas 600. </s>
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620 <s xml:id="echoid-s353" xml:space="preserve">Aſ-<lb/>ſumto Circino, &amp; </s>
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621 <s xml:id="echoid-s354" xml:space="preserve">crure ejus uno poſito in puncto A. </s>
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622 <s xml:id="echoid-s355" xml:space="preserve">alte-<lb/>ro verò in puncto B. </s>
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623 <s xml:id="echoid-s356" xml:space="preserve">diſtantiam inventam, ab unaquaque <lb/>litterâ ad alteram transfer in ſcalam menſoriam: </s>
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624 <s xml:id="echoid-s357" xml:space="preserve">eritq́ue <lb/>chorographia expedita: </s>
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625 <s xml:id="echoid-s358" xml:space="preserve">ut in figura litteris A.</s>
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626 <s xml:id="echoid-s359" xml:space="preserve">B.</s>
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627 <s xml:id="echoid-s360" xml:space="preserve">C.</s>
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628 <s xml:id="echoid-s361" xml:space="preserve">D.</s>
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629 <s xml:id="echoid-s362" xml:space="preserve">E.</s>
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630 <s xml:id="echoid-s363" xml:space="preserve">F.</s>
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631 <s xml:id="echoid-s364" xml:space="preserve">G. <lb/></s>
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632 <s xml:id="echoid-s365" xml:space="preserve">notatâ liceat experiri.</s>
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633 <s xml:id="echoid-s366" xml:space="preserve"/>
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634 </p>
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635 <p>
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636 <s xml:id="echoid-s367" xml:space="preserve">Inductio oſtendens diſtantiam quinque Pagorum, <lb/>talis eſt:</s>
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637 <s xml:id="echoid-s368" xml:space="preserve"/>
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638 </p>
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639 <p>
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640 <s xml:id="echoid-s369" xml:space="preserve">Ab { A \\ B \\ C \\ D \\ G \\ E } ad { B \\ C \\ D \\ G \\ E \\ A } ſunt per-ticæ { 600 \\ 425 \\ 528 \\ 520 \\ 600 \\ 440 } quæ faciunt pedes { 9600. </s>
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641 <s xml:id="echoid-s370" xml:space="preserve">\\ 6800. </s>
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642 <s xml:id="echoid-s371" xml:space="preserve">\\ 8448. </s>
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643 <s xml:id="echoid-s372" xml:space="preserve">\\ 8320. </s>
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644 <s xml:id="echoid-s373" xml:space="preserve">\\ 9600. </s>
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645 <s xml:id="echoid-s374" xml:space="preserve">\\ 7040.</s>
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646 <s xml:id="echoid-s375" xml:space="preserve"/>
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647 </p>
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648 <p>
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649 <s xml:id="echoid-s376" xml:space="preserve">Inductio oſtendens diſtantiam à prima ſtatione ad <lb/>ſingulos Pagos, hæc eſt:</s>
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650 <s xml:id="echoid-s377" xml:space="preserve"/>
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651 </p>
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652 <p>
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653 <s xml:id="echoid-s378" xml:space="preserve">Ab A ad { C \\ D \\ G \\ E } ſunt per ticæ { 1030 \\ 1275 \\ 900 \\ 496 } quæ faciunt pedes {16480. </s>
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654 <s xml:id="echoid-s379" xml:space="preserve">\\ 20400. </s>
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655 <s xml:id="echoid-s380" xml:space="preserve">\\ 14400. </s>
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656 <s xml:id="echoid-s381" xml:space="preserve">\\ 7936.</s>
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657 <s xml:id="echoid-s382" xml:space="preserve"/>
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658 </p>
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659 <pb o="19" file="0029" n="29" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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660 <p>
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661 <s xml:id="echoid-s383" xml:space="preserve"><emph style="sc">Restat</emph> deſcriptio trium Pagorum, quos videre <lb/>propter obſtantem ſylvam antea nequibas. </s>
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662 <s xml:id="echoid-s384" xml:space="preserve">Hîcigitur pro-<lb/>greſſu facto ad Pagum, litterâ C notatum, Aſſerem cum <lb/>dioptrâ &amp; </s>
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663 <s xml:id="echoid-s385" xml:space="preserve">Regulâ dirige verſus Pagum D. </s>
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664 <s xml:id="echoid-s386" xml:space="preserve">(antè tamen ab-<lb/>latâ papyro in aſſere, &amp; </s>
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665 <s xml:id="echoid-s387" xml:space="preserve">aliâ impoſitâ:) </s>
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666 <s xml:id="echoid-s388" xml:space="preserve">moveq́ue Regulam <lb/>cum dioptrâ verſus H &amp; </s>
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667 <s xml:id="echoid-s389" xml:space="preserve">I. </s>
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668 <s xml:id="echoid-s390" xml:space="preserve">reperie@q́; </s>
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669 <s xml:id="echoid-s391" xml:space="preserve">ambos Pago@ uni in-<lb/>cumbere lineæ (quan quam nihil intereſt ſive uni incum-<lb/>bant, ſive non) &amp; </s>
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670 <s xml:id="echoid-s392" xml:space="preserve">item verſus K Regulam move, lineamq́ue <lb/>duc per Aſſerem. </s>
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671 <s xml:id="echoid-s393" xml:space="preserve">Progreſſus inde ad ſtationem ſecundam <lb/>D. </s>
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672 <s xml:id="echoid-s394" xml:space="preserve">&amp; </s>
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673 <s xml:id="echoid-s395" xml:space="preserve">motâ lineâ ſtationali verſus primam, nempe C. </s>
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674 <s xml:id="echoid-s396" xml:space="preserve">acu-<lb/>q́ue ex C ablatâ, inq́ue puncto D fixa, habebis à C ad D per-<lb/>ticas 528. </s>
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675 <s xml:id="echoid-s397" xml:space="preserve">ſi porrò Regulam moveris verſus H.</s>
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676 <s xml:id="echoid-s398" xml:space="preserve">I.</s>
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677 <s xml:id="echoid-s399" xml:space="preserve">K. </s>
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678 <s xml:id="echoid-s400" xml:space="preserve">e<unsure/>o mo-<lb/>do, ut antè, reperies à ſtationetua C diſtantiam ad ſingulos <lb/>Pagos quæſitam.</s>
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679 <s xml:id="echoid-s401" xml:space="preserve"/>
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680 </p>
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681 <p>
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682 <s xml:id="echoid-s402" xml:space="preserve">Inductio talis eſt: <lb/></s>
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683 <s xml:id="echoid-s403" xml:space="preserve">AC ad { D \\ H \\ I \\ K } ſunt perticæ { 528 \\ 825 \\ 1170 \\ 920 } quæ faciunt pedes { 8448. </s>
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684 <s xml:id="echoid-s404" xml:space="preserve">\\ 13200. </s>
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685 <s xml:id="echoid-s405" xml:space="preserve">\\ 18720. </s>
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686 <s xml:id="echoid-s406" xml:space="preserve">\\ 14720.</s>
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687 <s xml:id="echoid-s407" xml:space="preserve"/>
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688 </p>
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689 </div>
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690 <div xml:id="echoid-div20" type="section" level="1" n="13">
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691 <head xml:id="echoid-head14" xml:space="preserve"><emph style="sc">Capvt</emph> X. <lb/>De Instrumenti uſu in deſcriptione Conuallis, Choro-<lb/>grapho in monte existente.</head>
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692 <p>
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693 <s xml:id="echoid-s408" xml:space="preserve"><emph style="sc">DEscriptvrvs</emph> è monte, vel alio loco ſu-<lb/>pero, ſubjectam Convallem duas itidem ſtationes <lb/>commodas elige. </s>
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694 <s xml:id="echoid-s409" xml:space="preserve">Tunc diſpoſito ita Aſſere, ut de-<lb/>c@@n@t @erſus locum deſcribendum, eoq; </s>
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695 <s xml:id="echoid-s410" xml:space="preserve">diligenter firma-<lb/>to, Regulam primùm move verſus ſecundam ſtationem, <lb/>ducq́ue per Aſſerem lineam. </s>
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696 <s xml:id="echoid-s411" xml:space="preserve">move deinde Regulam etiam <lb/>verſus locum deſcribendum, itidemq́ue lineam per Aſſe-<lb/>rem duc. </s>
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697 <s xml:id="echoid-s412" xml:space="preserve">Progreſſus ad ſtationem ſecundam, Aſſereq́uei-<lb/>terum diſpoſito ut antè, ſic videlicet ut declinet, metire ſta <lb/>tionum ſpatium intermedium, reperiesq́ue pedes 260.</s>
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698 <s xml:id="echoid-s413" xml:space="preserve">
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699 <pb o="20" file="0030" n="30" rhead="FABRICA ET VSVS"/>
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700 Si porrò Regulam moveris etiam verſus locum deſcriben-<lb/>dum in Convalle (ad quem viſus quoque fuit in primâ ſta-<lb/>tione) &amp; </s>
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701 <s xml:id="echoid-s414" xml:space="preserve">denuo lineam duxeris per Aſſerem ſecundùm Re-<lb/>gulam, itemq́ue mediante Circino in Aſſere lineam no-<lb/>tam metiaris, quæ linea dicitur ſtationalis, ut noſti, eamq́ue <lb/>tranſtuleris in ſcalam menſoriam, reperies puncta 260. <lb/></s>
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702 <s xml:id="echoid-s415" xml:space="preserve">Sic menſus alteram lineam Circino, ejusq́ue diſtantiâ in <lb/>ſcalam translatâ, reperies pedes 820. </s>
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703 <s xml:id="echoid-s416" xml:space="preserve">quæ diſtantia eſt à pri-<lb/>mâ ſtatione tuâ ſecundùm lineam rectam, in ſubjectam <lb/>Convallem deorſum, diſtantia videlicet quæſita.</s>
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704 <s xml:id="echoid-s417" xml:space="preserve"/>
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705 </p>
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706 <p>
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707 <s xml:id="echoid-s418" xml:space="preserve">Esto aliud exemplum:</s>
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708 <s xml:id="echoid-s419" xml:space="preserve"/>
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709 </p>
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710 <p>
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711 <s xml:id="echoid-s420" xml:space="preserve"><emph style="sc">Describam</emph> in Convalle diſtantiam ſubtus mon <lb/>tem aliquem, cui turris vel arx ſuperſtructa eſt. </s>
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712 <s xml:id="echoid-s421" xml:space="preserve">Hi<unsure/>c pri-<lb/>mùm Aſſerem diſpono perpendiculariter: </s>
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713 <s xml:id="echoid-s422" xml:space="preserve">tunc Regulam <lb/>mo eo verſus ſtationem ſecundam (Nam hîc etiam du-<lb/>plici opus ſtatione) tertiò duco lineam per Aſſerem: </s>
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714 <s xml:id="echoid-s423" xml:space="preserve">quar-<lb/>tò Regulam moveo verſus montem &amp; </s>
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715 <s xml:id="echoid-s424" xml:space="preserve">turrim vel arcem. <lb/></s>
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716 <s xml:id="echoid-s425" xml:space="preserve">ubi quia per binas dioptras altitudinem montis viſu aſſe-<lb/>qui nequeo, perpendiculum binis dioptris applico, tantiſ-<lb/>per dum altitudinem datam perſpicio: </s>
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717 <s xml:id="echoid-s426" xml:space="preserve">ductâ tunc lineâ <lb/>per Aſſerem, progredior ad ſecundam ſtationem, &amp; </s>
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718 <s xml:id="echoid-s427" xml:space="preserve">illic <lb/>motâ Regulâ ad primam, necnon ad montem, &amp; </s>
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719 <s xml:id="echoid-s428" xml:space="preserve">ſuperſtru <lb/>ctam turrim vel arcem, perpendiculo mediante, ut antè, <lb/>metior ſpatium intermedium ſtationum, reperioq́; </s>
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720 <s xml:id="echoid-s429" xml:space="preserve">perti-<lb/>cas 620. </s>
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721 <s xml:id="echoid-s430" xml:space="preserve">His translatis de Aſſere in ſcalā, eademq́; </s>
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722 <s xml:id="echoid-s431" xml:space="preserve">peractâ <lb/>deſcriptione à primâ ſtatione in penetralia montis, ſubtus <lb/>turrim vel arcem ſuperſtructam, reperio perticas 2360.</s>
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723 <s xml:id="echoid-s432" xml:space="preserve"/>
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724 </p>
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725 <p>
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726 <s xml:id="echoid-s433" xml:space="preserve">Atqui cõmoditatem aucupatus ſum perfodiendi mon-<lb/>tis ad locum, qui eſt ſu btus turrim vel arcem. </s>
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727 <s xml:id="echoid-s434" xml:space="preserve">Menſus igi-<lb/>tur ab Aſſere eò uſque ubi fodiendi initium faci@m, repe-<lb/>rio perticas 2000. </s>
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728 <s xml:id="echoid-s435" xml:space="preserve">Fodiendæ ergo ſuperſunt perticæ 360. <lb/></s>
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729 <s xml:id="echoid-s436" xml:space="preserve">Eſt verò ſtatio perticarum 620. </s>
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730 <s xml:id="echoid-s437" xml:space="preserve">quæ faciunt pedes 9920. </s>
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731 <s xml:id="echoid-s438" xml:space="preserve"><lb/>dimidium ferè miliare. </s>
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732 <s xml:id="echoid-s439" xml:space="preserve">A ſtatione ſubtus mōtem ſunt per-<lb/>ticæ 2360. </s>
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733 <s xml:id="echoid-s440" xml:space="preserve">quæ faciunt pedes 37760. </s>
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734 <s xml:id="echoid-s441" xml:space="preserve">ultra videlicet ſelqui
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735 <pb o="21" file="0031" n="31" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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736 miliare. </s>
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737 <s xml:id="echoid-s442" xml:space="preserve">Ab Aſſere, ubi fodiendi initium fit, ſunt perticæ <lb/>2000. </s>
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738 <s xml:id="echoid-s443" xml:space="preserve">quæ faciunt pedes 32000. </s>
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739 <s xml:id="echoid-s444" xml:space="preserve">ſeſqui miliare. </s>
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740 <s xml:id="echoid-s445" xml:space="preserve">Fodien-<lb/>dæ ergo ſunt, ut dictum, ad turrim vel arcem, monti ſuper-<lb/>ſtructam, perticæ 360. </s>
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741 <s xml:id="echoid-s446" xml:space="preserve">quæ faciunt pedes 5760. </s>
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diff changeset
742 <s xml:id="echoid-s447" xml:space="preserve">dimidium <lb/>nimirum miliare.</s>
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743 <s xml:id="echoid-s448" xml:space="preserve"/>
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744 </p>
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745 </div>
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746 <div xml:id="echoid-div21" type="section" level="1" n="14">
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747 <head xml:id="echoid-head15" xml:space="preserve"><emph style="sc">Capvt</emph> XI. <lb/>De Instrumenti uſu in deſcribendâ Vrbe cum plateis, portis, <lb/>mænib. turribus, templis, &amp; aliis ædificiis.</head>
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748 <figure>
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749 <image file="0031-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0031-01"/>
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750 </figure>
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751 <pb o="22" file="0032" n="32" rhead="FABRICA ET VSVS"/>
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752 <p>
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753 <s xml:id="echoid-s449" xml:space="preserve"><emph style="sc">VRbem</emph> cū præcipuis ædificiis deſcripturus, duas <lb/>in duabus turribus ſtationes elige. </s>
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754 <s xml:id="echoid-s450" xml:space="preserve">unde quaſi ex <lb/>ſpecula ędificia omnia deſcribenda circumſpicere <lb/>poſſis. </s>
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755 <s xml:id="echoid-s451" xml:space="preserve">In turrium deinde unâ, Aſſere ritè &amp; </s>
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756 <s xml:id="echoid-s452" xml:space="preserve">perpendicula-<lb/>riter diſpoſito, juxta doctrinam cognitam, Regulam move <lb/>verſus turrim ſecundam, hoc eſt, ſtationem B, lineam q́ue <lb/>duc per Aſſerem, quę linea ſit ſtationalis: </s>
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757 <s xml:id="echoid-s453" xml:space="preserve">&amp; </s>
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758 <s xml:id="echoid-s454" xml:space="preserve">item lineas duc <lb/>verſus ſingula ædificia præcipua: </s>
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diff changeset
759 <s xml:id="echoid-s455" xml:space="preserve">has lineas ſeparatim nota <lb/>omnes, verùm litteris vel lineis duntaxat occultis: </s>
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diff changeset
760 <s xml:id="echoid-s456" xml:space="preserve">ut in ad-<lb/>jecta figurâ litteris A. </s>
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diff changeset
761 <s xml:id="echoid-s457" xml:space="preserve">B. </s>
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762 <s xml:id="echoid-s458" xml:space="preserve">C. </s>
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diff changeset
763 <s xml:id="echoid-s459" xml:space="preserve">D. </s>
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764 <s xml:id="echoid-s460" xml:space="preserve">E. </s>
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765 <s xml:id="echoid-s461" xml:space="preserve">F. </s>
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766 <s xml:id="echoid-s462" xml:space="preserve">G. </s>
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767 <s xml:id="echoid-s463" xml:space="preserve">H. </s>
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768 <s xml:id="echoid-s464" xml:space="preserve">I. </s>
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769 <s xml:id="echoid-s465" xml:space="preserve">K. </s>
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770 <s xml:id="echoid-s466" xml:space="preserve">notatum vides.</s>
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771 <s xml:id="echoid-s467" xml:space="preserve"/>
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772 </p>
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773 <figure>
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774 <image file="0032-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0032-01"/>
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775 </figure>
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776 <pb o="23" file="0033" n="33" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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777 <p>
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778 <s xml:id="echoid-s468" xml:space="preserve">Ad ſecundam tunc ſtationem conſcende, Aſſeremq́ue <lb/>@um lineâ ſtationali iterum move verſus primam ſtatio-<lb/>nem: </s>
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779 <s xml:id="echoid-s469" xml:space="preserve">hoc firmato, itidem lineas occultas facito verſus ſin-<lb/>gula ædificia, &amp; </s>
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780 <s xml:id="echoid-s470" xml:space="preserve">curato ut lineæ in Aſſere omnes ſeſe inter-<lb/>ſecent. </s>
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781 <s xml:id="echoid-s471" xml:space="preserve">Hoc peracto, &amp; </s>
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782 <s xml:id="echoid-s472" xml:space="preserve">ſtatione tuâ ſive lineâ notâ menſu-<lb/>ratâ perticis ab A ad B. </s>
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783 <s xml:id="echoid-s473" xml:space="preserve">reperies perticas 90. </s>
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784 <s xml:id="echoid-s474" xml:space="preserve">Hac diſtantiâ <lb/>ab A ad B Circino translatâ de Aſſere in ſcalam, reperies <lb/>ſimiliter perticas 90.</s>
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785 <s xml:id="echoid-s475" xml:space="preserve"/>
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786 </p>
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787 <p>
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788 <s xml:id="echoid-s476" xml:space="preserve">Sic ab arce I cognoſcere potes diſtantiam ad reliqua <lb/>præcipua ædificia: </s>
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789 <s xml:id="echoid-s477" xml:space="preserve">adeò ut inde ad ſingula propugnacula <lb/>reperias perticas 125. </s>
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790 <s xml:id="echoid-s478" xml:space="preserve">ad portas verò principales perticas <lb/>90 Præterea propugnacula ſingula diſtant à ſe perticis 180. <lb/></s>
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791 <s xml:id="echoid-s479" xml:space="preserve">&amp; </s>
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792 <s xml:id="echoid-s480" xml:space="preserve">locus ubi arx ſita eſt, ab uno angulo ad alterum diſtat <lb/>perticis 70.</s>
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793 <s xml:id="echoid-s481" xml:space="preserve"/>
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794 </p>
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795 <p>
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796 <s xml:id="echoid-s482" xml:space="preserve">Inductio talis eſt:</s>
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797 <s xml:id="echoid-s483" xml:space="preserve"/>
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798 </p>
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799 <p>
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800 <s xml:id="echoid-s484" xml:space="preserve">Ab arce I ad { B \\ D \\ F \\ H } ſunt perticæ 125. </s>
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801 <s xml:id="echoid-s485" xml:space="preserve">quæ faciunt pedes 2000.</s>
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802 <s xml:id="echoid-s486" xml:space="preserve"/>
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803 </p>
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804 <p>
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805 <s xml:id="echoid-s487" xml:space="preserve">Abarce I ad { A \\ C \\ E \\ G } ſunt perticæ 90. </s>
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806 <s xml:id="echoid-s488" xml:space="preserve">quæ faciunt pedes 1440.</s>
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807 <s xml:id="echoid-s489" xml:space="preserve"/>
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808 </p>
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809 <p>
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810 <s xml:id="echoid-s490" xml:space="preserve">Singula porrò propugnacula diſtant à ſe perticis 180. <lb/></s>
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811 <s xml:id="echoid-s491" xml:space="preserve">quæ faciunt pedes 2880.</s>
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812 <s xml:id="echoid-s492" xml:space="preserve"/>
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813 </p>
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814 <p>
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815 <s xml:id="echoid-s493" xml:space="preserve">Area denique quadrata conſtat perticis 70. </s>
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816 <s xml:id="echoid-s494" xml:space="preserve">quæ faciunt <lb/>pedes 1120.</s>
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817 <s xml:id="echoid-s495" xml:space="preserve"/>
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818 </p>
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819 </div>
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820 <div xml:id="echoid-div22" type="section" level="1" n="15">
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821 <head xml:id="echoid-head16" xml:space="preserve"><emph style="sc">Nota</emph>.</head>
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822 <p>
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823 <s xml:id="echoid-s496" xml:space="preserve">Si in turri vel monte exiſtens, diſpoſito Inſtrumẽto per-<lb/>pendiculariter (ut diſponi debet) per dioptras in Vallem <lb/>vel profunditatem ſubjectam deſpicere nequis, ita tunc o-<lb/>perare@ ſume perpendiculum, &amp; </s>
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824 <s xml:id="echoid-s497" xml:space="preserve">illud ad ambas dioptras ap
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825 <pb o="24" file="0034" n="34" rhead="FABRICA ET VSVS"/>
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diff changeset
826 plica in Regulâ, ſecundùm directum: </s>
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diff changeset
827 <s xml:id="echoid-s498" xml:space="preserve">erisq́ue voti compos, <lb/>adeò ut profunditatem viſu pertingere tibi liceat, ſitq́ue <lb/>nihilominus hæc vera &amp; </s>
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diff changeset
828 <s xml:id="echoid-s499" xml:space="preserve">proportionata loci deſcriptio in-<lb/>fernè à fundo illûc facta. </s>
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829 <s xml:id="echoid-s500" xml:space="preserve">Idem judicium eſt, ſi vice versâ in <lb/>Valle exiſtens altitudinem montis viſu nequis aſſequi. </s>
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diff changeset
830 <s xml:id="echoid-s501" xml:space="preserve">Ve-<lb/>rùm hæc &amp; </s>
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diff changeset
831 <s xml:id="echoid-s502" xml:space="preserve">alia uſu potiùs &amp; </s>
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diff changeset
832 <s xml:id="echoid-s503" xml:space="preserve">exercitatione, quàm præce-<lb/>ptis deprehenduntur &amp; </s>
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833 <s xml:id="echoid-s504" xml:space="preserve">dignoſcuntur.</s>
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834 <s xml:id="echoid-s505" xml:space="preserve"/>
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835 </p>
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836 <p>
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837 <s xml:id="echoid-s506" xml:space="preserve">Denique ſi datæ Vrbis ſitum etiam cognoſcere cupis, <lb/>An videl cet vergat ad Orientem, aut Meridiem, aur Occi-<lb/>dentem, aut Septentrionem, ſic operare: </s>
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838 <s xml:id="echoid-s507" xml:space="preserve">Aſſere immoto <lb/>manente in turri, &amp; </s>
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839 <s xml:id="echoid-s508" xml:space="preserve">poſitâ in ejus medio Regulâ amuſium <lb/>ſive compaſſum quadratum bene juſtum ei applica: </s>
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840 <s xml:id="echoid-s509" xml:space="preserve">quem <lb/>cum Regula tantiſper move dum Magnetis lingula lineam <lb/>meridionalem directè indicat: </s>
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841 <s xml:id="echoid-s510" xml:space="preserve">ſi tunc per Aſſerem ducas <lb/>lineam occultam, quæ crucilineâ interſecetur, nomi-<lb/>naq́ue plagarum ſingula adſcripſeris, habebis <lb/>Vrbis, vel partium ejus, ſitum <lb/>quæſitum.</s>
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842 <s xml:id="echoid-s511" xml:space="preserve"/>
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843 </p>
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844 <figure>
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845 <image file="0034-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0034-01"/>
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846 </figure>
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847 <pb o="25" file="0035" n="35" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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diff changeset
848 </div>
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849 <div xml:id="echoid-div23" type="section" level="1" n="16">
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850 <head xml:id="echoid-head17" xml:space="preserve"><emph style="sc">Capvt</emph> XII. <lb/>In quo continetur fabrica ſecundi Inſtrumenti ſervientis <lb/>itidem deſcribendæ Regioni, &amp; partibus in eâ con-<lb/>tentis, velut urbibus caſtris &amp; <lb/>ſimilibus.</head>
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851 <figure>
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852 <image file="0035-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0035-01"/>
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853 </figure>
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854 <p>
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855 <s xml:id="echoid-s512" xml:space="preserve"><emph style="sc">PRaeter</emph> jam deſcriptum Inſtrumentum &amp; </s>
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856 <s xml:id="echoid-s513" xml:space="preserve">u-<lb/>ſum ejus, aliud inſuper Inſtrumentum, eundem <lb/>ad uſum, poteſt fabrefieri, hunc in modum: </s>
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857 <s xml:id="echoid-s514" xml:space="preserve">Confi-
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858 <pb o="26" file="0036" n="36" rhead="FABRICA ET VSVS"/>
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859 ce Aſſerem itidem ex ligno duro, ſolido ac firmo, pollicem <lb/>circiter craſſum: </s>
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860 <s xml:id="echoid-s515" xml:space="preserve">hunc bene dolatum accuratè quadra ſin-<lb/>gulis lateribus ſeſquipedem circiter continentibus, &amp; </s>
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861 <s xml:id="echoid-s516" xml:space="preserve">inſi-<lb/>gnitis litteris A. </s>
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862 <s xml:id="echoid-s517" xml:space="preserve">B. </s>
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863 <s xml:id="echoid-s518" xml:space="preserve">C. </s>
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864 <s xml:id="echoid-s519" xml:space="preserve">D. </s>
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865 <s xml:id="echoid-s520" xml:space="preserve">In medio Aſſeris facto puncto, Cir-<lb/>cini crus unum pone in puncto jam facto, alterum verò <lb/>extende, ferè ad Aſſeris extremitatem, ac peripheriam cir-<lb/>cumducito: </s>
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866 <s xml:id="echoid-s521" xml:space="preserve">hanc peripheriam ad dimidii pollicis craſſi-<lb/>tiem excavato, &amp; </s>
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867 <s xml:id="echoid-s522" xml:space="preserve">orbem ei inſerito, qui in cavatura illa fa-<lb/>ci@è circummoveri poſſit, ſintq́ue orbis &amp; </s>
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868 <s xml:id="echoid-s523" xml:space="preserve">Aſſer ſupernè in <lb/>eodem plano.</s>
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869 <s xml:id="echoid-s524" xml:space="preserve"/>
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870 </p>
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871 <p>
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872 <s xml:id="echoid-s525" xml:space="preserve">Fac porrò ad Orbis extremitatem locum excipiendæ <lb/>magnetis lingulæ accommodum, itidem Orbi &amp; </s>
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873 <s xml:id="echoid-s526" xml:space="preserve">Aſſeri æ-<lb/>quiplanum. </s>
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874 <s xml:id="echoid-s527" xml:space="preserve">Quadraturam tunc in Orbe fabricator, tam <lb/>magnam, quàm dari poteſt: </s>
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875 <s xml:id="echoid-s528" xml:space="preserve">hanc itidem excavato, ad gra-<lb/>ni hordeacei craſſitiem circiter. </s>
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876 <s xml:id="echoid-s529" xml:space="preserve">Canaliculos item cavos <lb/>(Strias Vitruvius vocat) ad Aſſeris latera facito inter A B. </s>
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877 <s xml:id="echoid-s530" xml:space="preserve">&amp; </s>
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878 <s xml:id="echoid-s531" xml:space="preserve"><lb/>C. </s>
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879 <s xml:id="echoid-s532" xml:space="preserve">D. </s>
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880 <s xml:id="echoid-s533" xml:space="preserve">nec non Regulam ex orichalco, dimidium circiter <lb/>pollicem latam, vel ampliùs; </s>
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881 <s xml:id="echoid-s534" xml:space="preserve">quæ ita fabrefieri debet, ut æ-<lb/>qualiter Aſſeri incumbat, inq́ue binis canaliculis excava-<lb/>tis liberè circumvolvi queat.</s>
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882 <s xml:id="echoid-s535" xml:space="preserve"/>
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883 </p>
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884 <p>
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885 <s xml:id="echoid-s536" xml:space="preserve">His confectis binas inter B. </s>
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886 <s xml:id="echoid-s537" xml:space="preserve">C. </s>
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887 <s xml:id="echoid-s538" xml:space="preserve">dioptras erigito cum binis <lb/>foraminibus minutis: </s>
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888 <s xml:id="echoid-s539" xml:space="preserve">cujuſmodi dioptræ in Quadranti-<lb/>bus ſive Aſtrolabiis vulgò viſuntur. </s>
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889 <s xml:id="echoid-s540" xml:space="preserve">Vel, quod magis pla-<lb/>cet, dioptrarum iſtarum loco duos apices vel acus facito, <lb/>quæ in lineâ rectâ ſtent erectæ: </s>
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890 <s xml:id="echoid-s541" xml:space="preserve">cujus generis dioptris in a-<lb/>liis etiam inſtrumentis uſus ſum, ut quæ commodiſſimæ &amp; </s>
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891 <s xml:id="echoid-s542" xml:space="preserve"><lb/>certiſſimæ ſunt: </s>
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892 <s xml:id="echoid-s543" xml:space="preserve">quum è contra aciei oculi tranſmiſſio per <lb/>minuta illa foramina vehemēter fallere poſſit, in locis præ-<lb/>ſertim ſubcreperis &amp; </s>
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893 <s xml:id="echoid-s544" xml:space="preserve">tenebricoſis.</s>
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894 <s xml:id="echoid-s545" xml:space="preserve"/>
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895 </p>
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896 <p>
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897 <s xml:id="echoid-s546" xml:space="preserve">Regulam porrò ex orichalco, &amp; </s>
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898 <s xml:id="echoid-s547" xml:space="preserve">eâ, qua dictum, magni-<lb/>tudine factam, in certas dividito partes, ſic, ut primùm per <lb/>ejus medium ducas lineam rectam, unumq́ue latus divi. <lb/></s>
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899 <s xml:id="echoid-s548" xml:space="preserve">das in partes 200. </s>
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900 <s xml:id="echoid-s549" xml:space="preserve">alteram verò in partes 1000. </s>
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diff changeset
901 <s xml:id="echoid-s550" xml:space="preserve">eritq́ue in-<lb/>tegra hæc Inſtrumenti fabrica; </s>
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diff changeset
902 <s xml:id="echoid-s551" xml:space="preserve">quod velim Chorographiæ
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diff changeset
903 <pb o="27" file="0037" n="37" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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diff changeset
904 ftudioſo, hoc etiam nomine commodatiſſimum eſſe, quòd <lb/>in duriſſimis belli caſibus felicifſimè co uſus eſt ſummus <lb/>noſtri temporis imperator &amp; </s>
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diff changeset
905 <s xml:id="echoid-s552" xml:space="preserve">hoſtium ſuorum victor glo-<lb/>rioſiſſimus.</s>
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diff changeset
906 <s xml:id="echoid-s553" xml:space="preserve"/>
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diff changeset
907 </p>
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diff changeset
908 </div>
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diff changeset
909 <div xml:id="echoid-div24" type="section" level="1" n="17">
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diff changeset
910 <head xml:id="echoid-head18" xml:space="preserve"><emph style="sc">Capvt</emph> XIII.</head>
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diff changeset
911 <head xml:id="echoid-head19" style="it" xml:space="preserve">De Instrumenti hujus uſu in deſcribendis Castris <lb/>Martiis, &amp; c.</head>
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diff changeset
912 <figure>
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diff changeset
913 <image file="0037-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0037-01"/>
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diff changeset
914 </figure>
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diff changeset
915 <pb o="28" file="0038" n="38" rhead="FABRICA ET VSVS"/>
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diff changeset
916 <p>
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diff changeset
917 <s xml:id="echoid-s554" xml:space="preserve"><emph style="sc">ARchistrategvs</emph>, obſeſſurus propugna-<lb/>culum vel oppidum, vult prius caſtra ſua deſcribe-<lb/>re, quàm metari, ut cognitâ horum deſcriptione <lb/>ea communire poſſit foſſis, vallis, præſidiis, &amp; </s>
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diff changeset
918 <s xml:id="echoid-s555" xml:space="preserve">reliquis re-<lb/>bus neceſſariis, contra hoſtis viciniim petus. </s>
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diff changeset
919 <s xml:id="echoid-s556" xml:space="preserve">Sic igitur ope-<lb/>retur: </s>
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920 <s xml:id="echoid-s557" xml:space="preserve">Papyrum cerâ, glutine, vel alio modo infigat Inſtru-<lb/>menti quadraturæ: </s>
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diff changeset
921 <s xml:id="echoid-s558" xml:space="preserve">Inſtrumentum deinde ponat in plano <lb/>perpendiculariter: </s>
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diff changeset
922 <s xml:id="echoid-s559" xml:space="preserve">admoveat tunc oculo ſuo Inſtrumenti <lb/>angulum B prope a in Caſtris datis, dirigatq́ue viſum per <lb/>dioptram verſus b in campo. </s>
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diff changeset
923 <s xml:id="echoid-s560" xml:space="preserve">Volvat inde Orbem tantiſ-<lb/>per, dum lingula magnetis lineæ meridionali incumbit, <lb/>Aſſere immoto ſem per manente. </s>
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diff changeset
924 <s xml:id="echoid-s561" xml:space="preserve">Mota porrò Regulâ de-<lb/>orſum in locum quempiam papyri, quadraturæ incumben <lb/>tis, &amp; </s>
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diff changeset
925 <s xml:id="echoid-s562" xml:space="preserve">lineâ ductâ per quadraturam, metiatur certo inſtru-<lb/>mento menſorio, quot perticas vel pedes habeat ab a ad b. <lb/></s>
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diff changeset
926 <s xml:id="echoid-s563" xml:space="preserve">eritq́ue voti ſui compos. </s>
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927 <s xml:id="echoid-s564" xml:space="preserve">Quòd ſi loci quæſiti diſtantia ni-<lb/>mis magn a eſt, proindeq́ue Caſtrorum deſcriptio horis vel <lb/>miliaribus definiri debet, accola quiſpiam de diſtantia ro-<lb/>gari poteſt: </s>
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diff changeset
928 <s xml:id="echoid-s565" xml:space="preserve">eritq́ue res exploratu facilis per perticarum &amp; </s>
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diff changeset
929 <s xml:id="echoid-s566" xml:space="preserve"><lb/>pedum menſuram.</s>
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diff changeset
930 <s xml:id="echoid-s567" xml:space="preserve"/>
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diff changeset
931 </p>
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diff changeset
932 </div>
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diff changeset
933 <div xml:id="echoid-div25" type="section" level="1" n="18">
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934 <head xml:id="echoid-head20" style="it" xml:space="preserve">Esto tale exemplum.</head>
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935 <p>
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936 <s xml:id="echoid-s568" xml:space="preserve">Fingat a diſtare à b ped bus 1000. </s>
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937 <s xml:id="echoid-s569" xml:space="preserve">Hîc igitur Circinum <lb/>ſumat, &amp; </s>
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938 <s xml:id="echoid-s570" xml:space="preserve">ponat eum in Regulâ antea in certas partes divi-<lb/>sâ: </s>
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939 <s xml:id="echoid-s571" xml:space="preserve">vel ſi Regula diſplicet, aliam inſtituere poteſt diviſio-<lb/>nem pro libitu, ut notatum videtur in figura.</s>
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940 <s xml:id="echoid-s572" xml:space="preserve"/>
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941 </p>
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diff changeset
942 <p>
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943 <s xml:id="echoid-s573" xml:space="preserve">Progrediatur tunc cum Inſtrumento ab a ad b. </s>
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944 <s xml:id="echoid-s574" xml:space="preserve">quò in <lb/>prima ſtatione collimatio etiam erat, diſponatq́ue Inſtru-<lb/>mentum iterum ut antè, verſus e in figurâ, ac Orbem de-<lb/>nuò volvat in lineam meridionalem. </s>
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945 <s xml:id="echoid-s575" xml:space="preserve">Volvat inde Regu-<lb/>lam ſurſum vel deorſum, tantiſper dum puncto directè in-<lb/>cumbat, perinde ut cum Orbe antè operabatur. </s>
22d6a63640c6 moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
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946 <s xml:id="echoid-s576" xml:space="preserve">Hinc de <lb/>puncto iterum lineam producat ſecundùm Regulam, &amp; </s>
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947 <s xml:id="echoid-s577" xml:space="preserve"><lb/>diſtantiam denuo exploret, ut dictum, reperietq́ue pedes <lb/>2000. </s>
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948 <s xml:id="echoid-s578" xml:space="preserve">Poſito porrò Circino in ſcalâ menſoriâ, &amp; </s>
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949 <s xml:id="echoid-s579" xml:space="preserve">ſumtâ
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950 <pb o="29" file="0039" n="39" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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951 diſtantiâ punctorum 2000, ponat Circinum in quadratu-<lb/>râ Inſtrumenti in puncto b. </s>
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952 <s xml:id="echoid-s580" xml:space="preserve">punctumq́ue faciat altero cru-<lb/>re Circini in lineâ, quam littera c notet.</s>
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953 <s xml:id="echoid-s581" xml:space="preserve"/>
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954 </p>
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955 <p>
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956 <s xml:id="echoid-s582" xml:space="preserve">Progreſſus cum Inſtrumento ad locum in figura litterâ <lb/>c notatum, illud iterum, ut antè, diſponat, volvatq́ue Or-<lb/>bem cum lingulâ magnetis in lineam meridionalem, &amp; </s>
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957 <s xml:id="echoid-s583" xml:space="preserve"><lb/>Regulam ſupra punctum c volvat, lineaq́ue ductâ a c me-<lb/>tiatur ad d. </s>
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958 <s xml:id="echoid-s584" xml:space="preserve">ut antè, reperietq́ue pedes 1060. </s>
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959 <s xml:id="echoid-s585" xml:space="preserve">Sumta per <lb/>Circinum in ſcalâ menſoria diſtantiâ, crus unum ejus po-<lb/>nat in c. </s>
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960 <s xml:id="echoid-s586" xml:space="preserve">verſusq́; </s>
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diff changeset
961 <s xml:id="echoid-s587" xml:space="preserve">d dirigat, &amp; </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
962 <s xml:id="echoid-s588" xml:space="preserve">punctum faciat.</s>
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diff changeset
963 <s xml:id="echoid-s589" xml:space="preserve"/>
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964 </p>
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965 <p>
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966 <s xml:id="echoid-s590" xml:space="preserve">Progreſſus porrò à c ad d. </s>
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967 <s xml:id="echoid-s591" xml:space="preserve">Inſtrumentum diſponat ver-<lb/>ſus e. </s>
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968 <s xml:id="echoid-s592" xml:space="preserve">diſtantiam q́ue à d ad e metiatur. </s>
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969 <s xml:id="echoid-s593" xml:space="preserve">hoc dirigat verſus a, <lb/>ut didicit, metiarurq́ue inter e &amp; </s>
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970 <s xml:id="echoid-s594" xml:space="preserve">a. </s>
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971 <s xml:id="echoid-s595" xml:space="preserve">ſpatio hoc, mediante <lb/>Circino translato in Inſtrumentum, reperiet pedes 2010. <lb/></s>
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972 <s xml:id="echoid-s596" xml:space="preserve">Ita totam Caſtrorum circum ferentiam hábebit, quæ con-<lb/>cluſa eſt pedibus 7128. </s>
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973 <s xml:id="echoid-s597" xml:space="preserve">Circini præterea machinatíone co <lb/>gnoſcere poteſt diſſantiam ſingulotum contuberniorum <lb/>ab invicem, latitudinem item &amp; </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
974 <s xml:id="echoid-s598" xml:space="preserve">longitudinem Caſtrorum <lb/>integrorum.</s>
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975 <s xml:id="echoid-s599" xml:space="preserve"/>
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976 </p>
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977 </div>
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978 <div xml:id="echoid-div26" type="section" level="1" n="19">
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979 <head xml:id="echoid-head21" xml:space="preserve"><emph style="sc">Capvt</emph> XIV.</head>
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980 <head xml:id="echoid-head22" style="it" xml:space="preserve">De Instrumentihujus uſu in deſcribendâ Regione, qua-<lb/>terna aui quina miliaria longâ vel <lb/>latâ.</head>
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981 <p>
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982 <s xml:id="echoid-s600" xml:space="preserve"><emph style="sc">NObilis</emph> ſatis amplum territorium habet:</s>
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983 <s xml:id="echoid-s601" xml:space="preserve">vult <lb/>autem circumferentiam ejus cognoſcere, quan-<lb/>tum item à ſe diſtent in ea cōtenti vici, pagi mon-<lb/>tes, villæ, domus, &amp; </s>
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984 <s xml:id="echoid-s602" xml:space="preserve">alia: </s>
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985 <s xml:id="echoid-s603" xml:space="preserve">ut optatum impetret, ſic operetur: <lb/></s>
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986 <s xml:id="echoid-s604" xml:space="preserve">Aſſumto Inſtrumento eat ad territorii terminos, verbi gra-<lb/>tia ad Pagum littera A notatum: </s>
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987 <s xml:id="echoid-s605" xml:space="preserve">ſint verò ſeptem Pagi cir-<lb/>cumiacentes inſigniti litteris A. </s>
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988 <s xml:id="echoid-s606" xml:space="preserve">B. </s>
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989 <s xml:id="echoid-s607" xml:space="preserve">C. </s>
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990 <s xml:id="echoid-s608" xml:space="preserve">D. </s>
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991 <s xml:id="echoid-s609" xml:space="preserve">E. </s>
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992 <s xml:id="echoid-s610" xml:space="preserve">F. </s>
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993 <s xml:id="echoid-s611" xml:space="preserve">G. </s>
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994 <s xml:id="echoid-s612" xml:space="preserve">ſi nunc In-<lb/>ſtrumentum dirigat prope A verſus B. </s>
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995 <s xml:id="echoid-s613" xml:space="preserve">&amp; </s>
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diff changeset
996 <s xml:id="echoid-s614" xml:space="preserve">lineam ducat jux-<lb/>ta doctrinam commemoratam, rogetq́; </s>
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997 <s xml:id="echoid-s615" xml:space="preserve">accolam vicinum
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998 <pb o="30" file="0040" n="40" rhead="FABRICA ET VSVS"/>
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diff changeset
999 de horis ſive miliaribus ad ſingula loca, habebit ab A ad B <lb/>iter horæ.</s>
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1000 <s xml:id="echoid-s616" xml:space="preserve"/>
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1001 </p>
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1002 <p>
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1003 <s xml:id="echoid-s617" xml:space="preserve">Si deinde progreſſus ad Pagum B Inſtrumentum dirigat <lb/>verſus Molendinum C. </s>
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1004 <s xml:id="echoid-s618" xml:space="preserve">habebit iter ſeſquihoræ. </s>
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1005 <s xml:id="echoid-s619" xml:space="preserve">Si à B pro-<lb/>greſſus ad Molendinum C. </s>
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1006 <s xml:id="echoid-s620" xml:space="preserve">Inſtrumentum dirigat v@rſus <lb/>Pagum D. </s>
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1007 <s xml:id="echoid-s621" xml:space="preserve">habebit iter duarum horarum. </s>
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1008 <s xml:id="echoid-s622" xml:space="preserve">Si progrediatur <lb/>à Pago D ad Arcem E, habebit iter duûm cum dimidiâ ho-<lb/>rarum. </s>
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1009 <s xml:id="echoid-s623" xml:space="preserve">Si progrediatur ab Arce E ad Pagum F habebit iter <lb/>dimidiȩ horæ. </s>
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1010 <s xml:id="echoid-s624" xml:space="preserve">Si progrediatur à Pago F ad Villam G. </s>
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1011 <s xml:id="echoid-s625" xml:space="preserve">diſtan-<lb/>tiamq́ue itidem roget, habebit iter horæ integræ. </s>
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1012 <s xml:id="echoid-s626" xml:space="preserve">Si deni-<lb/>que Inſtrumentum dirigat à Villa G ad Pagum A. </s>
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1013 <s xml:id="echoid-s627" xml:space="preserve">habebit <lb/>iter ſeſquihoræ: </s>
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1014 <s xml:id="echoid-s628" xml:space="preserve">eritq́ue tota circumſerentia decem vulga-<lb/>rium horarum.</s>
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1015 <s xml:id="echoid-s629" xml:space="preserve"/>
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1016 </p>
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1017 <p>
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1018 <s xml:id="echoid-s630" xml:space="preserve">Inductio, continens diſtantiam Pagorum ſingu-<lb/>lorum ab invicem, eſt talis:</s>
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1019 <s xml:id="echoid-s631" xml:space="preserve"/>
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1020 </p>
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1021 <p>
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1022 <s xml:id="echoid-s632" xml:space="preserve">Ad { Pagum A \\ Pagum B \\ Molendinum C \\ Pagum D \\ Arcem E \\ Pagum F \\ Villam G } ſunt \\ horæ {1 \\ 1 {1/2} \\ 2 \\ 2 {1/2} \\ {1/2} \\ 1 \\ @ {1/2} } quæ fa \\ ciunt \\ perticas {1000. </s>
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1023 <s xml:id="echoid-s633" xml:space="preserve">\\ 1500. </s>
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1024 <s xml:id="echoid-s634" xml:space="preserve">\\ 2000. </s>
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1025 <s xml:id="echoid-s635" xml:space="preserve">\\ 2500. </s>
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1026 <s xml:id="echoid-s636" xml:space="preserve">\\ 500. </s>
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1027 <s xml:id="echoid-s637" xml:space="preserve">\\ <lb/>1000. </s>
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1028 <s xml:id="echoid-s638" xml:space="preserve">\\ 1500.</s>
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1029 <s xml:id="echoid-s639" xml:space="preserve"/>
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1030 </p>
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1031 <pb o="31" file="0041" n="41" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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1032 </div>
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1033 <div xml:id="echoid-div27" type="section" level="1" n="20">
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1034 <head xml:id="echoid-head23" xml:space="preserve"><emph style="sc">Capvt</emph> XV.</head>
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1035 <head xml:id="echoid-head24" style="it" xml:space="preserve">In quo continctur fabrica &amp; uſus tertis Inſtrumenti, cùm aliis <lb/>operis, tum in primis Lapidicidis &amp; ſcriniariis <lb/>fabris acconimodi.</head>
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1036 <figure>
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1037 <image file="0041-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0041-01"/>
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1038 </figure>
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1039 <p>
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1040 <s xml:id="echoid-s640" xml:space="preserve"><emph style="sc">INstrvmentvm</emph> hoc, cum magnetis lin-<lb/>gulâ, ex ligno itidem ſolido ac duro fabrefiat, lon-<lb/>gumq́ue conficitor binos circiter pedes, &amp; </s>
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1041 <s xml:id="echoid-s641" xml:space="preserve">latum <lb/>@ex pollices, craſſum verò pollicem. </s>
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1042 <s xml:id="echoid-s642" xml:space="preserve">In extremitate deinde
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1043 <pb o="32" file="0042" n="42" rhead="FABRICA ET VSVS"/>
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1044 unâ eius Circulus deſcribitor ſecundùm Inſtrumenti capa-<lb/>citatem: </s>
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1045 <s xml:id="echoid-s643" xml:space="preserve">illo binis diametris in centro concurrentibus in-<lb/>terſecto ſecundus Circulus deſcribitor; </s>
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1046 <s xml:id="echoid-s644" xml:space="preserve">in quo gradus con-<lb/>venienter notentur: </s>
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1047 <s xml:id="echoid-s645" xml:space="preserve">&amp; </s>
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1048 <s xml:id="echoid-s646" xml:space="preserve">item tertius; </s>
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1049 <s xml:id="echoid-s647" xml:space="preserve">in quo numeri: </s>
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1050 <s xml:id="echoid-s648" xml:space="preserve">item-<lb/>q́ue quartus, centro propior, qui excavari debet, inq́ue co <lb/>foramen confici, dati Inſtrumenti dimidietatem profun-<lb/>dum, excipiendo magneti ſerviens, adeò ut hinc inde, ubi <lb/>opus eſt, liberè volvi poſſit. </s>
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1051 <s xml:id="echoid-s649" xml:space="preserve">In diametralibus porrò lineis <lb/>nomina quatuor plagarum inſcribuntor, Oriens, Meridies, <lb/>Occidens, Septentrio Circulus{q́ue} dividitor in partes 360, more <lb/>ſolito, quæ diviſio ſit, ſi Circulus primùm dividatur in par-<lb/>tes 4. </s>
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1052 <s xml:id="echoid-s650" xml:space="preserve">hæ verò ſingulæ in 90. </s>
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1053 <s xml:id="echoid-s651" xml:space="preserve">&amp; </s>
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1054 <s xml:id="echoid-s652" xml:space="preserve">hæ 90 in ternas: </s>
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1055 <s xml:id="echoid-s653" xml:space="preserve">hæ verò <lb/>ternæ in ternas iterum: </s>
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1056 <s xml:id="echoid-s654" xml:space="preserve">inq́ue binas deniq; </s>
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1057 <s xml:id="echoid-s655" xml:space="preserve">hæ ſingulæ ſub-<lb/>dividantur. </s>
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1058 <s xml:id="echoid-s656" xml:space="preserve">Binas præterea dioptras affigito, prout figura <lb/>clariſſimè ob oculos ponit Regulam etiam dividere potes, <lb/>pro libitu, in partes vel puncta 1000. </s>
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1059 <s xml:id="echoid-s657" xml:space="preserve">plus minus: </s>
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1060 <s xml:id="echoid-s658" xml:space="preserve">quo ſi <lb/>quidpiam deſcriben dum tibi ſit, partitio menſoria ad ma-<lb/>nus ſtatim ſit.</s>
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1061 <s xml:id="echoid-s659" xml:space="preserve"/>
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1062 </p>
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1063 <p>
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1064 <s xml:id="echoid-s660" xml:space="preserve">Ceterùm Inſtrumenti hujus uſus inſignis eſt in ſtructu-<lb/>ris vel aliis rebus deſcribendis: </s>
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1065 <s xml:id="echoid-s661" xml:space="preserve">ut quum Architectus videt <lb/>affabrè factum ædificium vel domum aliquam:</s>
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1066 <s xml:id="echoid-s662" xml:space="preserve">vult autem <lb/>aliam ei per omnia conformem exſtruere, ſitum item ejus <lb/>ad Orientem vel Meridiem, aut alias Mundi plagas cogno-<lb/>ſcere: </s>
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1067 <s xml:id="echoid-s663" xml:space="preserve">ſi hoc Inſtrumento utatur, ritè adhibitâ magnetis lin <lb/>gulâ, &amp; </s>
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1068 <s xml:id="echoid-s664" xml:space="preserve">ſcalâ vel Regulâ menſoria, votum ſuum aſſeque-<lb/>tur Similiter hoc Inſtrumento uti poteſt ſaber ſcriniarius <lb/>in delineandis &amp; </s>
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1069 <s xml:id="echoid-s665" xml:space="preserve">efformandis ſubſtructionibus Zophoris, <lb/>encarpis, parietibus &amp; </s>
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1070 <s xml:id="echoid-s666" xml:space="preserve">aliis. </s>
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1071 <s xml:id="echoid-s667" xml:space="preserve">Necnon geographiæ &amp; </s>
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1072 <s xml:id="echoid-s668" xml:space="preserve">choro-<lb/>graphiæ vel topographiæ ſtudioſo Inſtrumenti hujus uſus <lb/>erit accommodus ad deſcribendas regiones, urbes, oppida, <lb/>caſtella, propugnacula &amp; </s>
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1073 <s xml:id="echoid-s669" xml:space="preserve">alia.</s>
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1074 <s xml:id="echoid-s670" xml:space="preserve"/>
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1075 </p>
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1076 <p>
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1077 <s xml:id="echoid-s671" xml:space="preserve">Et ſic topographicorum eriam Inſtrumentorum bre-<lb/>vem, ſed perutilem: </s>
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1078 <s xml:id="echoid-s672" xml:space="preserve">deſcriptionem habes, candide &amp; </s>
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1079 <s xml:id="echoid-s673" xml:space="preserve">ami-<lb/>ce Lector, quam rogo velis, pro amore in me tuo, bonam
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1080 <pb o="33" file="0043" n="43" rhead="INSTRVMENTI CHOROGRAPHICI, &amp;c."/>
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1081 in partem interpretari. </s>
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1082 <s xml:id="echoid-s674" xml:space="preserve">Id ſi feceris, operam dabo, ἑαυπερ ἐ-<lb/>{πι}τρέπ{ει} ὁ Θ εὸς, ut deſcriptionem quoque Inſtrumentorum, <lb/>quibus ad pyrecboliam tractandam opus eſt, ſuo tem-<lb/>pore in lucem edam. </s>
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1083 <s xml:id="echoid-s675" xml:space="preserve">Illi Triuno Deo ſit <lb/>gloria in ſempiternum, <lb/>Amen.</s>
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1084 <s xml:id="echoid-s676" xml:space="preserve"/>
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1085 </p>
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1086 </div>
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1087 <div xml:id="echoid-div28" type="section" level="1" n="21">
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1088 <head xml:id="echoid-head25" xml:space="preserve"><emph style="sc">Inscriptiones</emph> <lb/>OMNIVM CAPITVM <lb/>hujus Tractatus.</head>
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1089 <note style="it" position="right" xml:space="preserve">Cap.I. # De Chorographia generatim:quid ſit, &amp; quæ ad eam In-<lb/>ſtrumenta potißimùm requiſita, # pag. 1. <lb/>II. # De Inſtrumenti fabricâ, # 2 <lb/>III. # De Triangulis, omnium dimenſionum fundamento, # 5 <lb/>IV. # De Instrumenti uſu in deſcribendâ Regione vel loco vl-<lb/>tra aquas, # 7 <lb/>V. # De Instrumenti uſu in deſcribendis duobus locis: quan-<lb/>tum item ſingula à ſe distent, # 9 <lb/>VI. # De Inſtrumenti uſu in deſcribendo Prato, &amp; c. # 11 <lb/>VII. # De Instrumenti uſu in deſcribendis quatuor Pagis: &amp; <lb/>quantum hi à ſe distent, # 13 <lb/>VIII. # De Inſtrumenti uſu in deſcribendo Vivario, &amp; c. # 15 <lb/>IX. # De Instrumenti uſu in deſcribenda totâ Regione, &amp; Pa-<lb/>gorum ejus, # 17 <lb/>X. # De Instrumenti uſu in deſcriptione Convallis, Choro-<lb/>grapho in monte existente. # 19 <lb/>XI. # De Inſtrumenti uſu in deſcribendâ Vrbe cum plateis, por <lb/>tis, mænib. turribus, templis, &amp; aliis ædificiis, # 21 <lb/>XII. # In quo continetur fabrica ſecundi Instrumenti, ſervien-<lb/>tis itidem deſcribendæ Regioni, &amp; partibus in eâ con-<lb/>tentis, velut urbibus castris &amp; ſimilibus. # 25
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1090 <pb o="34" file="0044" n="44" rhead="FABR ET VSVS INSTR VM. CHOROGR."/>
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1091 XIII. # De Inſtrumenti hujus uſu in deſcribendis Caſtris Mar-<lb/>tiis, &amp; c. # 27 <lb/>XIV. # De Inſtrumenti hujus uſu in deſcribendâ Regione, qua-<lb/>terna aut quina miliaria longâ vel latâ, # 29 <lb/>XV. # In quo continetur fabrica &amp; vſus tertii Instrumenti, <lb/>cùm aliis operis, tum inprimis Lapicidis &amp; ſcriniariis <lb/>fabris accommodi. <lb/></note>
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1092 </div>
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1093 <div xml:id="echoid-div29" type="section" level="1" n="22">
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1094 <head xml:id="echoid-head26" xml:space="preserve"><emph style="sc">Finis</emph>.</head>
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1095 <pb file="0045" n="45"/>
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1096 <pb file="0046" n="46"/>
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1097 <pb file="0047" n="47"/>
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1098 <handwritten/>
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1099 <pb file="0048" n="48"/>
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1100 <p>
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1101 <s xml:id="echoid-s677" xml:space="preserve">Wort Wort Wort Wort Wort <w style="sc" xml:id="egal">Wort</w> Wort Wort Wort.</s>
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1102 </p>
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1103 <p>
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1104 <s xml:id="echoid-s678" xml:space="preserve">Wort Wort Wort Wort Wort Wort Wort Wort Wort. </s>
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1105 <small>
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1106 <s xml:id="echoid-s679" xml:space="preserve">Small Small <smlb/>Small Small. </s>
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1107 </small>
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1108 <s xml:id="echoid-s680" xml:space="preserve">Wort Wort Wort Wort Wort Wort Wort Wort Wort.</s>
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1109 </p>
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1110 <p>
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1111 <s xml:id="echoid-s681" xml:space="preserve">Wort Wort. </s>
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1112 <small>
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1113 <s xml:id="echoid-s682" xml:space="preserve">Small <smlb/>Small. </s>
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1114 </small>
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1115 <s xml:id="echoid-s683" xml:space="preserve">Wort Wort.</s>
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1116 </p>
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1117 <p>
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1118 <s xml:id="echoid-s684" xml:space="preserve">Wort Wort. </s>
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1119 <small>
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1120 <s xml:id="echoid-s685" xml:space="preserve">Small <smlb/>Small. </s>
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1121 </small>
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1122 <s xml:id="echoid-s686" xml:space="preserve">Wort Wort.</s>
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1123 </p>
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1124 <p>
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1125 <s xml:id="echoid-s687" xml:space="preserve">Wort Wort Wort Wort Wort Wort Wort Wort Wort. </s>
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1126 <small>
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1127 <s xml:id="echoid-s688" xml:space="preserve">Small Small <smlb/>Small Small. </s>
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1128 </small>
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1129 <s xml:id="echoid-s689" xml:space="preserve">Wort Wort Wort Wort Wort Wort Wort Wort Wort.</s>
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1130 </p>
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1131 </div></text>
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1132 </echo>