Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
136 FRAGMENTA. d£ixvvov0a, oti di%a th^ritaiy dia trjv Mti^ta tcov ^dcecov. 56. Proclus in Elem. p. 282, 8sq.: u47toXX(6viog ds tr^v TCQog OQd^ag aysi tbv tQOTtov 5 tovtoV inl trjg AF tv%ov t6 z/, xal ccTto tY]g FB l'0rj xfi Tz/ r] FE, xal TisvtQG) ta z/, ta ds Ed dia6t7]- [lati ysyQacpd-cD xv- TcXog, xal TtdXiv xsv- 10 tQco taE, dia^trj^ati ds ta Zl E KVTiXog ^_ ysyQag^d^cj, xal dito zl r B tov Z STil to r TJxd-co. ksyco,^ oti avtrj sGtlv rj TtQog oQd^dg. idv yaQ iiti^svxd-coOiv aC Z^, ZE, tcat s6ovtai. 15 i0ai ds Tcal ai z/JT, FE, Tcal xoivrj rj ZF' Sots xal aC ^tQog t(p r ycovCai l'6ai did to oydoov. OQx^al aQa sl6iv. 57. Proclus in Elem. p. 335, 16 sq.: Triv ds ^ATtoXXooviov dst- \iv ovK inaivov^sv G)g dso- T 20 fisvriv tcov iv ta tQitO) /3i- ^XiGodsiKvv^svcov.XaPmvyaQ ^' . ixsivog ycovCav tv%ov6av trjv VTtb r^E xal svd-stav trjv ^ AB xsvtQco ta z/, dia^tri- 25 i^ati ds ta jTz/, yQdcpSi trjv FE TtSQicpSQSiav Tcal co6avtcog xsvtQco ta A^ 8ia6triliati 8s Tc5 AB trjv ZB, xal aTtoXapcov trj FE L'0rjv trjv ZB imlsvyvvCi trjv AZ Kal ijcl l'6cov TtSQi- ,^ 2. §cc6S(ov] h. e. AJ, JB. 13. rix^ca ri ZT Friedlein.
: FRAGMENTA. 137 (pSQEicjv PsPrjKViag rag J, A yaviag i6ag aTtocpaivsi. dst ds jtQolaPstv xai, oti r^ AB l0yi tfj FJ, "Cva xal OL XVXXOL L0OL C06L. 58. Scholiumi) ad Euclidis Data deff. 13—15: Halma) Tovtovg ^AitollcovLOv (pa6\v slvaL tovg tQstg OQOvg. 5 Astronomica. 59. Ptolemaeus avvta^ig XII, 1 (II p. 312 sq. ed. Tovtcjv aTCodsdsLy^svcov ccaoXov^ov av sl'rj xal rag Tiad'^ SKa0tov tcov Tcsvts TtXavco^svcov ytvo^svag JtQO- 10 rjyri^sig sXay^i^tag ts Tcal iisyCGtag sTtL^xs^aGd^at xal dst^aL ocal tag tovtcov TtrjXLKotritag aTto tcov skksl^svcov vTtod^s^scov ^v^cpcovovg, G)g svl ^dXiOta, yLVO^svag »tatg SK tcov tYiQri^scov KataXa^^avo^svaLg. sCg ds tr}V tOLavtrjv dLaXriiljLV 7tQoa7todsLKvvov6L ^sv Kal 0% ts 15 alloL ^ad^rj^atLKol Kal ^ATtoXlavLog 6 IIsQyatog (X)g STtl ^LCcg trjg TtaQa tbv tjXlov dvco^aXCag, oTt, sdv ts dLa trjg Kat STtCKVKlov vTtoQ^sCscog yCvrjtaty tov ^sv sitLkvkXov TtSQl tov o^oKSvtQov Tco ^codiaKS kvkXov trjv Katd ^rJKog JtdQodov stg td STto^sva tcov ^codCcov TtOL- 20 OV^SVOV, TOi; ds d^tSQOg STtl tOV STtLKVKXoV TlSQL TO 1) Hoc scliolium, quod ad opus Apollonii de principiis mathematicis referre non dubito — nam ibi sine dubio, sicut de axiomatis, ita etiam de definitionibus et de uera definiendi ratione disputauerat — , mecum communicauit H. Menge. exstat in codd. Vatt. gr. 190 et 204 et in cod. Laur. 28, 10, ne plures. 5. tovtov Vat. 190. 'ATtoXlcoviog Vat. 190. cprjaiv Vat. 190. slvccL cpriGL Vat. 204. tovtovg tovg tQEcg oQOvg 'AtcoXXooviov q^aolv Elvai Laur. 28, 10.
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136 FRAGMENTA.<br />
d£ixvvov0a, oti di%a th^ritaiy dia trjv Mti^ta tcov<br />
^dcecov.<br />
56. Proclus in Elem. p. 282, 8sq.:<br />
u47toXX(6viog ds tr^v TCQog OQd^ag aysi tbv tQOTtov<br />
5 tovtoV<br />
inl trjg AF tv%ov t6 z/, xal ccTto tY]g FB l'0rj<br />
xfi Tz/ r] FE, xal TisvtQG) ta z/, ta ds Ed dia6t7]-<br />
[lati ysyQacpd-cD xv-<br />
TcXog,<br />
xal TtdXiv xsv-<br />
10 tQco taE, dia^trj^ati<br />
ds ta Zl E KVTiXog ^_<br />
ysyQag^d^cj, xal dito<br />
zl<br />
r B<br />
tov Z STil to r TJxd-co.<br />
ksyco,^ oti avtrj sGtlv rj TtQog oQd^dg.<br />
idv yaQ iiti^svxd-coOiv aC Z^, ZE, tcat s6ovtai.<br />
15 i0ai ds Tcal ai z/JT, FE, Tcal xoivrj rj ZF' Sots xal aC<br />
^tQog t(p r ycovCai l'6ai did to oydoov. OQx^al aQa sl6iv.<br />
57. Proclus in Elem. p. 335, 16 sq.:<br />
Triv ds ^ATtoXXooviov dst-<br />
\iv ovK inaivov^sv G)g dso-<br />
T<br />
20 fisvriv tcov iv ta tQitO) /3i-<br />
^XiGodsiKvv^svcov.XaPmvyaQ ^' .<br />
ixsivog ycovCav tv%ov6av trjv<br />
VTtb r^E xal svd-stav trjv ^<br />
AB xsvtQco ta z/, dia^tri-<br />
25 i^ati ds ta jTz/, yQdcpSi trjv<br />
FE TtSQicpSQSiav Tcal co6avtcog<br />
xsvtQco ta A^ 8ia6triliati<br />
8s Tc5 AB trjv ZB, xal aTtoXapcov trj FE<br />
L'0rjv trjv ZB imlsvyvvCi trjv AZ Kal ijcl l'6cov TtSQi-<br />
,^<br />
2. §cc6S(ov] h. e. AJ, JB. 13. rix^ca ri ZT Friedlein.
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