Changes between Version 9 and Version 10 of WO1_Pappus_1660

Timestamp:

Feb 2, 2009, 2:41:32 PM (15 years ago)

Author:

Wolfgang Schmidle

Comment:

--

WO1_Pappus_1660

@@ -42 +42 @@
 <002> is not clear to me. It occurs twice, once in "Græcus codex habet. δ{ει} γαρ & c. <002> τῆς ζη {πρ}ὸς η δ ego legendum puto {τὸν} τῆς δ η {πρ}ὸς η κ". The second time it doesn't look like the first <002>, but is optically as well as contextually clearly recognizeable as {tais}: "ἐν <002> συζυγῖαις". 
 
+Some random samples:
+
+[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=37&ws=1&wx=0.0258&wy=0.1388&ww=0.7586&wh=0.1189&mode=imagepath&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FA0VHBVNN%2Fpageimg p.37]  (part of the work sample)
+
+{{{
+vero $i <sc>A</sc> $it ip$ius <sc>B</sc> dimidius] _In Græco codice $ic legitur_. χαί γὰρ συναμφοτέραυ α β γ
+τ\~ου β τριπλάσιος μὲν ἔςιν, ἐι διπλασιος ἐιη ἑιη ὁ β τοῦ α. ἡμιόλιος δὲ ἡ θ α τ\~ου β ἠμισις ἔιη.
+_Sed legendum Videtur_. {καὶ} γὰρ συναμφότεος α β τριπλάσιος μὲν ἔςιν, ἐι διπλάσιος
+ἔιη ο`; α τ\~ου β, ἡμιόλιος δέ ἐι α τοῦ β ἡμισις ἔιη. _E$t enim_ <sc>D</sc> _ad_ <sc>E</sc>, _bt_
+<sc>A B</sc> _ad_ <sc>B</sc>, _Vel Vt_ <sc>B C</sc>
+_ad_ <sc>C</sc> _ex lis_, _quc ante demon$trata $unt. Po$tquam Vero o$tendit ex analogia æqualitatis_
+}}}
+
+
+[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=153&ws=1&wx=0.0238&wy=0.6595&ww=0.7714&wh=0.1914&mode=imagepath&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FA0VHBVNN%2Fpageimg p.153]
+
+{{{
+<h it>COMMENTARIVS.</h>
+<p it><ac A>_Dimidium eius, quod fit a recta linea <sc>HF</sc>]_</ac> Græcus codex habet τὸ ἢμισυ τ{οῦ} ἀπὸ τῆς
+{ἐπὶ} τά θ ζ. Sed nos per$picuitatis cau$$a ita Vtendum cen$uimus.</p>
+<p it><ac B>_Hoc enim in XX. Theoremate e$t demon$tratum]_</ac> In Græco codice legitur τ{οῦ}το γαρ ἐν
+{τῷ} δευτέρω θεωρήματι δέδ{ει}χθ{αι}.</p>
+<p it><ac C>_Sed rectantgulo <sc>BAL</sc> vna cum eo, quod <sc>BA</sc>, <sc>LR</sc>, continetur, hoc e$t rectangulo_
+_<sc>BAR</sc>]_</ac> Ex prima $ecundi libri elementorum.</p>
+<p it><ac D>_Aequale e$t quod fit ex <sc>AG</sc>]_</ac> iuncta enim <sc>_BG_</sc> triangula <sc>_ABGAGR_</sc> $imilia $unt ex octaua
+$exti libri elementorum. ergo vt <sc>_BA_</sc> ad <sc>_AG_</sc>, ita <sc>_GA_</sc> ad <sc>_AR_</sc>, ac propterea rectangulo <sc>_BAR_</sc>
+<mgr>4 $exti.
+17</mgr>
+æquale e$t quadratum ex <sc>_AG_</sc>.</p>
+<p it><ac E>_Ergo & quod fit ex <sc>AG</sc> vna cum rectangulo <sc>GHK</sc>]_</ac> Græcus codex mancus e$t, qui ita
+re$tituetur ἲσον ἂρα καὶ τὸ ἀπὸ τῆς α γ {μὲν} τ{οῦ} {ὑπὸ} η θ κ.</p>
+<p it><ac F>_Et ante o$ten$um e$t figuram quidem con$tantem ex $uperficiebus conicis.]_</ac> In Græ
+co codice legitur. καὶ ἐδεχθη πρὸ ἑνος. Illud Vero o$ten$um e$t in 24. propo$itione huius.</p>
+}}}
+
+[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=183&ws=1&wx=0.0178&wy=0.4192&ww=0.7276&wh=0.2606&mode=imagepath&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FA0VHBVNN%2Fpageimg p.183]
+
+{{{
+<p it><ac K>_Erunt quadrata ex <sc>BK</sc>, <sc>KM</sc> quadrati ex <sc>FG</sc> tripla._</ac> Nam cum quadratum quidem ex
+<sc>_FG_</sc> ad quadratum ex <sc>_BH_</sc> proportionem habeat, quam quinque ad tria, quadrata vero ex <sc>_BK_
+_KM_</sc> ad idem quadratum ex <sc>_BH_</sc> eam habeat, quam quinque ad Vium, hoc e$t quam quinde-
+cim ad tria, habebunt quadrata ex <sc>_BK_</sc>, <sc>_KM_</sc> ad quadratum ex <sc>_FG_</sc> proportionem eandem, quam
+quindecim ad quinque, Videlicet triplam. In Græco codice omnia ferè $unt corrupta; qui $ic
+habet ἐν δὲ {τῷ} α β ω τὰ ἀπὸ β ζ, ζ θ πενδαπλάσια τ{οῦ} ἀπὸ β θ. τὰ ἀρα ἀπὸ β ζ, ζ θ {τρ}ιπλά-
+σια τ{οῦ} ἀπὸ ζ η. ego $ic corrigendum arbitror. ἐν δὲ {τῷ} ι τὰ ἀπὸ β κ, κ μ πενδαπλάσια τ{οῦ}
+@πὸ β θ. τὰ ἂρα ἀπὸ β κ, κ μ {τρ}ιπλάσια τ{οῦ} ἀπο ζ η.</p>
+<p it><ac L>_Vtin tertiodecimo libro elementorum demon$tratur]_</ac> propo$itione 1 @.</p>
+<p it><ac M>_Ergo ex ante demon$tratis vt <sc>BK</sc>, ad <sc>NX</sc>, ita <sc>KM</sc> ad <sc>NO</sc>, & eorum quadrata, &_
+_vt vnum ad vnum, ita omnia ad omnia. quadrata igitur ex <sc>BK</sc>, <sc>KM</sc> tripla $unt quadra-_
+_torum ex <sc>NX</sc>, <sc>NO</sc>]_</ac> e$t eni nex 45. huius vt <sc>_BK_</sc> ad _<sc>KM</sc>,_ ita <sc>_XN_</sc> ad <sc>_NO_</sc> permutandoque
+Vt <sc>_BK_</sc> ad _<sc>XN</sc>,_ ita <sc>_KM_</sc> ad _<sc>NO</sc>._ Vt quadratum ex <sc>_BK_</sc> ad quadratum ex _<sc>NX</sc>,_ ita quidratum
+<mgr>22. $exti.</mgr>
+ex <sc>_KM_</sc> ad quadratum ex _<sc>NO</sc>._ vt autem vnum ad Vnum, ita omnia ad omnia. Sed quadra
+<mgr>12. quinti</mgr>
+tum ex <sc>_BK_</sc> triplum e$t quadrati ex _<sc>NX</sc>._ quadrata igitur ex _<sc>BK</sc>,_ <sc>_KM_</sc> quadratorum ex _<sc>NX</sc>,_
+<sc>_NO_</sc> $unt tripla. In codice græco legitur διὰ τὸ ἐν αρχῆ τοίνυν {ἐστι}ν ὡς ἡ β ζ τῆς ν ξ, ἡ ζ η
+{τρ}ὸς ν ο, {καὶ} τὰ τε{τρ}άγωνα, {καὶ} ὡς ἒμ{πρ}ο{σθ}εν πάντα {πρ}ος πάντα, τὰ ἄρα {ἀπὸ} β κ η {τῶν} {ἀπὸ} ξ ν ο
+{ἐστι} {τρ}ιπλάσια. quæ nos <gap> emead tuimus διὰ τὸ ἐν αρχῆ τοὶνυν {ἐστι}ν ὡς ἡ β κ {πρ}ὸς ν ξ, ἡ
+κ μ {πρ}ὸς ν ο {καὶ} τὰ τε{τρ}άγονα. {καὶ} ὡς ἐν {πρ}ὸς ἐν, πάντα {πρ}ὸς πάντα. τὰ ἂρα {ἀπὸ} β η μ τῆς
+{ἀπὸ} ξ ν ο {ἐστι} {τρ}ιπλάσια.</p>
+}}}
+
+[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=282&ws=1&wx=0.227&wy=0.2796&ww=0.7439&wh=0.1185&mode=imagepath&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FA0VHBVNN%2Fpageimg p]
+
+{{{
+<p><ac F>Ita rectangulum <sc>FDE</sc> ad rectangulum <sc>AEC</sc>, & componendo, vt <sc>DB</sc> ad <sc>BE</sc>, ita re-
+ctangulum <sc>FDE</sc> vna cum rectangulo <sc>AEC</sc> ad rectangulum <sc>AEC</sc>. Sed rectangulum
+<sc>FDE</sc> vna cum rectangulo <sc>AEC</sc> æquale e$t rectangulo <sc>ADC</sc> ex anteced\~ete]</ac> _Hun@ loc\~u_
+_ita re$tituendum cen$uimus, in Græco enim codice $ic legebatur {οὐ}τω τὸ {ὑπὸ} {τῶν} α ε γ διά τὸ {πρ}ο-_
+_γεγραμμένον ἲσον {ἐστὶ} τὸ {ὑπὸ} {τῶν} α δ γ, $ed forte ita re$tituetur. {οὑ}τω τὸ {ὑπὸ} {τῶν} ζ δ ε. {πρ}ὀς_
+_τὸ {ὑπὸ} {τῶν} α ε γ συνθέντι ἂρα ὠς ἡ δ β πρ ς {τὸν} β ε {οὒ}τω τὸ {ὑπὸ} {τῶν} ζ δ ε μετά {τοῦ} {ὑπὸ} {τῶν} α ε γ_
+_πρὸς τὸ {ὑπὸ} {τῶν} α ε γ ἂλλα τὸ {ὑπὸ} {τῶν} ζ δ ε μετά {τοῦ} {ὑπὸ} {τῶν} α ε γ διά τὸ {πρ}οτετρὰμμενον ἲσον_
+_{ἐστὶ} {τῷ} {ὑπὸ} {τῶν} α δ γ._</p>
+}}}
+
+[http://echo.mpiwg-berlin.mpg.de/ECHOdocuView/ECHOzogiLib?pn=370&ws=1&wx=0.2173&wy=0.3829&ww=0.7681&wh=0.2249&mode=imagepath&url=%2Fmpiwg%2Fonline%2Fpermanent%2Flibrary%2FA0VHBVNN%2Fpageimg p.370]
+
+{{{
+<p><ac D>Et ei, quod ad quadratum ex <sc>DB</sc> eandem, quam <sc>AD</sc> ad <sc>DB</sc> proportionem habet,
+& præterea ei, quod ad quadratum ex <sc>DC</sc> eandem habet proportionem, quam <sc>AB</sc> ad
+<sc>BD</sc> ]</ac> _Græcus codex {καὶ} {τῷ} λὸγον ἒχοντι {πρ}ὸς τὸ {ἀπὸ} α β {τὸν} ἀυτὸ {τῷ} τῆς α δ πρὸς {τὴν} δ β {καὶ}_
+_@ν {τῷ} λόγον ἔχοντι {πρ}ὸς τὸ {ἀπὸ} α β {τὸν} ἀυτὸν {τῷ} τῆς α β {πρ}ὸς {τὴν} β δ. Sed legendum e$t, {καὶ}_
+_τὸ λὸγον ἒχοντι {πρ}ὸς τὸ {ἀπὸ} δ β {τὸν} ἀυτὸ {τῷ} τῆς α δ {πρ}ὸς τὴν δ β {καὶ} {ἐστι} {τῷ} λόγον ἔχοντι_
+_{πρ}ὸς τὸ {ἀπὸ} δ γ {τὸν} ἀυτόν {τῷ} τῆς α β πρὸς τὴν β δ. Quæ vero $equuntur in Græco codice V$-_
+_que eo. τὸ ἂρα ἁπὸ α γ & c. $uperuacanea videntur_.</p>
+<p><ac E>Quadratum igitur ex <sc>AC</sc>, & id, quod ad quadratum ex <sc>CB</sc> proportionem habet
+eandem, quam <sc>AD</sc> ad <sc>DB</sc>, hoc e$t datam, æquale e$t quadrato ex <sc>AD</sc>, & proportio-
+nem habenti ad quadratum ex <sc>DE</sc> eandem quam <sc>AD</sc> ad <sc>DB</sc>, hoc e$t æquale rectan-
+gulo <sc>BAD</sc>, videlicet dato, & adhuc æquale ei, quod ad quadratum ex <sc>DC</sc> eandem ha-
+bet, quam <sc>AE</sc> ad <sc>BD</sc> proportionem, nimirum datam]</ac> _Græcts codex corruptus, & man._
+_cus e$t, quem ita re$tituendum cen$eo. τὸ ἂρα ἄπὸ α γ {καὶ} τὸ λὸγον ἒχον πρὸς τὸ ἁπὸ γ β,_
+_@ ἁντὸ@ {τῷ} τῆς α δ πρὸς {τὴν} δ β {τοῦ}τ{ἐστι} {τῷ} δοθὲντι ἲσον {ἐστι} {τῷ}τε ἀπὸ α δ {καὶ} {τῷ} λόγον ἒχοντι_
+_προς τὸ ἀπό δ β {τὸν} ἁυτον {τῷ} τῆς α δ πρὸς {τὴν} δ β {τοῦ}τ{ἐστι} {τῷ}τε {ὑπὸ} β α δ, {τοῦ}τ{ἐστι} δοθὲντι {καὶ}_
+_{τῷ} λόγον ἒχοντι πρὸς τὸ ἁπὸ δ γ τόν ἁυτον {τῷ} τῆς α β πρὸς {τὴν} β δ, {τοῦ}τ{ἐστι} δοθὲντι._</p>
+}}}
+
+
+
 === Recommendation ===