Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
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Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

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IV. EUTOCII COMMENTAKIA IN CONICA. Etg t6 JtQcotov. 5 'u47to^X(6vLog 6 ysco^etQrjg, cct (pCle ircctQS '^vd^dfiLe^ ysyovs ^sv ix IlsQyTjg trjg sv Ilan^cpvUa sv xQovoig tov EvsQystov UtoXs^aLOv, cog iGtoQst ^HQccxXsLog 6 thv Plov ^AQXLfiridovg yQacpcov^ og TtaC (prj6L ta xcavLxa ^scoQYj^ata STtLVOTJaaL ^sv TiQwtov thv 'AQXL^Tfdrj, thv 10 ds 'ATtoXlcovLOV avta svQovta v%h 'AQ%L^ridovg ^r] sxdo^svta idLO7tOL^6a0d^aL, ovk dXrjd^svcov xatd ys trjv SfiLYiv. ts yccQ 'AQXL^7]drjg sv TCoklotg cpaCvstaL a>g TtalaLOtSQag tr]g 6tOLxsLCo6scjg rcov xcdvltccov ^s^vr]- p.svog, Tcal 6 'ATtoXkavLog ov% (og IdCag STtLvoCag yQacpsL' IS ov yccQ dv scprj STtl tcXsov xal xa^oXov ^dkXov i^SLQydad^aL tavta TtaQa td vTth tSv dXXcov ysyQa^^sva. dXk' oitsQ cpr^olv 6 Fs^tvog dXrjd-sg iCtLV, OtL OL TtaXaLol XCOVOV OQL^O^SVOL tr]V tOV OQd^O' ycovCov tQLycovov TtSQLCpOQav ^svovCrjg [iLag tcov jtSQL 20 trjv OQ&rjv sCxotcog xal tovg xcovovg jtdvtag oQd^ovg vjtsXd^Pavov yCvs0d-aL xal ^Cav to^rjv iv sTcdotc), iv 4. EvroyiLOV 'Ao-KCiXcavLtov stg xo a tmv 'AnoXXoavCov kcovl- %&v T^g %ccx' ccvrov iyidoGsoig VTtofivrjfia Wp. 6. ysyove^ p,

In librum I. Apollonius geometra, amicissime milii Anthemie, ex Perga urbe Pamphyliae oriundus vixit temporibus Ptolemaei Euergetae, ut narrat Heraclius, qui vitam scripsit Archimedis; idem dicit, propositiones conicas primum inuenisse Archimedera, Apollonium autem, cum eas ab Archimede non editas reperisset, sibi adrogasse; sed mea quidem sententia fallitur. nam et adparet, Archimedem saepe elementa conica ut antiquiora commemorare, et Apollonius sua ipsius inuenta se exponere minime profitetur; alioquin non dixisset [I p. 4, 3— 5], se ea latius uniuersaliusque exposuisse, quam quae ceteri de iis scripsissent. immo Geminus uerum uidit, ueteres, qui conum definirent ortum circumactione trianguli rectanguli manente altero latere eorum, quae angulum rectum comprehenderent, iure omnes conos rectos fieri putasse et in singulis unam oriri sectionem, in rectangulo eam, quam nunc yiyovEV W. t% sv UaiicpvXicc] p, in ras. m. 1 W. 7. ^HQccHXsiog'] p, — Eios W^ 8. 'AQxrjfii^Sovs, s in ras. m. 1, W, sed corr. yQcicpcov, og kccl'] p, — v os y.ccC W^ 9. Aqxi- (ii^drjv p. 10. svQmvxa W, sed corr. 12. sfiriv yvmaiv p. 15. ov] comp. e corr. p. 17. rsiitvos] w, Tsynvos W, FsfiLvos p. 18. naXciioQ p, — ot W\ v.mvov] corr. ex Xcovtov m. 1 W. —Q^oycavLov in ras. m. 1 W. 19. [isvovai^s iiias] p; —ffTjs fitag W^ seq. lineola transuersa. 21. ysCvsad^ai W.

IV.<br />

EUTOCII<br />

COMMENTAKIA IN CONICA.<br />

Etg t6 JtQcotov.<br />

5 'u47to^X(6vLog 6 ysco^etQrjg, cct (pCle ircctQS '^vd^dfiLe^<br />

ysyovs ^sv ix IlsQyTjg trjg sv Ilan^cpvUa sv xQovoig<br />

tov EvsQystov UtoXs^aLOv, cog iGtoQst ^HQccxXsLog 6<br />

thv Plov ^AQXLfiridovg yQacpcov^ og TtaC (prj6L ta xcavLxa<br />

^scoQYj^ata STtLVOTJaaL ^sv TiQwtov thv 'AQXL^Tfdrj, thv<br />

10 ds 'ATtoXlcovLOV avta svQovta v%h 'AQ%L^ridovg ^r] sxdo^svta<br />

idLO7tOL^6a0d^aL, ovk dXrjd^svcov xatd ys trjv<br />

SfiLYiv. ts yccQ 'AQXL^7]drjg sv TCoklotg cpaCvstaL a>g<br />

TtalaLOtSQag tr]g 6tOLxsLCo6scjg rcov xcdvltccov ^s^vr]-<br />

p.svog,<br />

Tcal 6 'ATtoXkavLog ov% (og IdCag STtLvoCag yQacpsL'<br />

IS ov yccQ dv scprj STtl tcXsov xal xa^oXov ^dkXov<br />

i^SLQydad^aL tavta TtaQa td vTth tSv dXXcov<br />

ysyQa^^sva. dXk' oitsQ cpr^olv 6 Fs^tvog dXrjd-sg<br />

iCtLV, OtL OL TtaXaLol XCOVOV OQL^O^SVOL tr]V tOV OQd^O'<br />

ycovCov tQLycovov TtSQLCpOQav ^svovCrjg [iLag tcov jtSQL<br />

20 trjv OQ&rjv sCxotcog xal tovg xcovovg jtdvtag oQd^ovg<br />

vjtsXd^Pavov yCvs0d-aL xal ^Cav to^rjv iv sTcdotc), iv<br />

4. EvroyiLOV 'Ao-KCiXcavLtov stg xo a tmv 'AnoXXoavCov kcovl-<br />

%&v T^g %ccx' ccvrov iyidoGsoig VTtofivrjfia Wp. 6. ysyove^ p,

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