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132 FRAGMENTA. drjXov, Ttag £0tiv tbv do^ivta citC%ov TtokXaTckaGLdaai ical stTtstv tov yevo^svov aQi^^^ov ix tov tov JtQcatov tcjv aQL&^Sv, ov stlricpB ro ^Qatov toov yQa^fidtov, 67tl tbv devtSQOv dQid-^ov, ov slXrjcps tb dsvtSQOv tmv 5 yQa^^dtcov, TtoXvTtkaGiaad^rjvat xal tbv ysvo^evov iitl tbv tQLtov aQLd^^ov^ ov slXrjcps tb tQLtov yQd^^a, Tcal ocatd t6 ^l^g TtsQaLvsGd^aL iis%ql roi} 8Lsi,o8svs0d-aL tbv OtLxov, (og SLTtsv ^^TtoXlcjVLog sv aQjri^) Tcatd tbv 6tL%ov ovtog' 10 ^AQts^Ldog ^lsLts KQatog s^o%ov svvsa %ovQai (tb ds TcXsLts (prjelv dvtl tov v:to^V7]6ats)o 50. Pappus II, 18 p. 20, 10 sq.: 'Edv ccQa tovg dsxa aQLd-^ovg [centenarios uersus illius] dL7tlaaLd6G)^sv xal tovg ysvo^svovg % TtQoad^cj^sv 15 totg SLQYiiisvoLg aTtXcjg aQid^^otg sjttaKaLdsxa,^) td ysvo^sva bybov Ag s^o^sv td5v V7t avtov Xsyo^svcav dvaXoycov. Tcdv totg ^isv dsKa dQid^^otg vTtotd^cj^sv laaQLd^^ovg dsKa Katd td^tv SKatovtddog, totg ds l^ b^OLCjg VTtotd^cj^sv dsKddag l^, cpavsQbv sk toi) dvKt- 20 tSQOV koyLCtLKOv ^soQTiiiatog L^\ otL dsxa sKatovtadsg ^std tcov l^ dsKddcav TtOLOvGL ^vQLddag ivvaitkdg diKa. 1) Hic incipere uidetur expositio amplior Pappi eorum, quae Apollonius initio operis breuiter significauerat. 2) Sc. denariis uersus. 3. tdov dQLd^ficov'] dQi&fiov Hultsch. 5. TtoXXccnXuGiaod-rjvai Hultsch cum Wallisio. 8. oog] ov Hultsch. Hara tov gxl%ov] del. Hultsch. 13. tovg — 17. v.dv'\ del. Hultsch. 16. Xsyoftsvcov] Eberhard, ysvofisvoav codd. I
FRAGMENTA. 133 De principiis mathematicis. 51. Marinus in Data Euclidis p. 2 ed. Hardy: ^LO rmv a7tXov0t£QCog ical ^ia xivl diacpoga TtSQLyQacpsLV tb dsdo^svov TtQod^s^svcov oC ^sv tstay^svov, G)g ^AnoXX(6vLog sv trj tisqI vsvascov Tcal sv ty Kad^oXov 5 TtQay^atSLa. b2. Proclus in Elem. p. 100, 5sq.O 'A^tods^m^sd-a ds xal tovg TtsQl ^ATtoXXcovLOV Xsyovtag^ otL yQa^^ijg svvoLav ^sv s%o^sv^ otav ta ^rjxri liovov 1] tcov odcov 7] t(^v tOL%G)v ava^stQSLV xsXsvco- 10 fisv' ov yccQ jCQoOTtOLOv^sd^a tots to TtXdtog, dXXa triv icp' sv dLaataijLV dvaXoyL^o^s&a, xad^aTtSQ drj TcaC, otav %coQLa ^stQ(D^sv, triv s7tL(pdvsLav OQco^sv , otav ds (pQsata^ t6 OtsQSov itdaag yccQ ofiov tdg 8La6td(5SLg 0vXXa^6vtsg djtocpaivo^sd-a to^ovds sivaL to dLd(jtrj^a 15 Tou (pQsatog natd ts ^rjxog %al TtXdtog aal ^dd^og. ai'6d-ri6LV ds avtrjg Xd^OL^sv dv dnLdovtsg slg roi^g dLOQLG^ovg t(DV 7CS(potLa^svc3v toTtcov dito tcov s6klaG^svcov Kal STtl trjg asXT^vrjg xal sitl trjg yrig' tovto yaQ t6 ^s6ov Tcatd ^sv jtXdtog ddLdatatov s6tL, ^rJKog 20 ds s%SL t6 (jv^TtaQSTCtSLVO^svov tS gjcotl Tcal tfi axLa. 53. Proclus in Elem. p. 123, 14 sq.: Tov ^sv EvkXslSov xXlClv Xsyovtog tr^v ycovLav, Toi) ds 'AjtoXXcovLOv avvaycoyriv STtLCpavsCag ij (jtsQSOv TtQog svl arj^SLC) vnb xsKXaa^svrj yQa^^fj r] S7iL(pavsLcc' 25 doKSL yaQ ovtog Kad^oXov itdcav d^poQL^sC&aL yoovCav. 1) De his fragmentis n. Tamiery Bulletin des sciences mathematiques, 2« serie, V p. 124, et cfr. quae monui Philolog. XLIII p. 488. ibidem suspicatus sum, etiam Procl. p. 227, 9sq. ad Apollonium pertinere.
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FRAGMENTA. 133<br />
De principiis mathematicis.<br />
51. Marinus in Data Euclidis p. 2 ed. Hardy:<br />
^LO rmv a7tXov0t£QCog ical ^ia xivl diacpoga TtSQLyQacpsLV<br />
tb dsdo^svov TtQod^s^svcov oC ^sv tstay^svov,<br />
G)g ^AnoXX(6vLog sv trj tisqI vsvascov Tcal sv ty Kad^oXov 5<br />
TtQay^atSLa.<br />
b2. Proclus in Elem. p. 100, 5sq.O<br />
'A^tods^m^sd-a ds xal tovg TtsQl ^ATtoXXcovLOV Xsyovtag^<br />
otL yQa^^ijg svvoLav ^sv s%o^sv^ otav ta ^rjxri<br />
liovov 1] tcov odcov 7] t(^v tOL%G)v ava^stQSLV xsXsvco- 10<br />
fisv' ov yccQ jCQoOTtOLOv^sd^a tots to TtXdtog, dXXa triv<br />
icp' sv dLaataijLV dvaXoyL^o^s&a, xad^aTtSQ drj TcaC, otav<br />
%coQLa ^stQ(D^sv, triv s7tL(pdvsLav OQco^sv , otav ds<br />
(pQsata^ t6 OtsQSov itdaag yccQ ofiov tdg 8La6td(5SLg<br />
0vXXa^6vtsg djtocpaivo^sd-a to^ovds sivaL to dLd(jtrj^a 15<br />
Tou (pQsatog natd ts ^rjxog %al TtXdtog aal ^dd^og.<br />
ai'6d-ri6LV ds avtrjg Xd^OL^sv dv dnLdovtsg slg roi^g<br />
dLOQLG^ovg t(DV 7CS(potLa^svc3v toTtcov dito tcov s6klaG^svcov<br />
Kal STtl trjg asXT^vrjg xal sitl trjg yrig' tovto<br />
yaQ t6 ^s6ov Tcatd ^sv jtXdtog ddLdatatov s6tL, ^rJKog 20<br />
ds s%SL t6 (jv^TtaQSTCtSLVO^svov tS gjcotl Tcal tfi axLa.<br />
53. Proclus in Elem. p. 123, 14 sq.:<br />
Tov ^sv EvkXslSov xXlClv Xsyovtog tr^v ycovLav,<br />
Toi) ds 'AjtoXXcovLOv avvaycoyriv STtLCpavsCag ij (jtsQSOv<br />
TtQog svl arj^SLC) vnb xsKXaa^svrj yQa^^fj<br />
r] S7iL(pavsLcc' 25<br />
doKSL yaQ ovtog Kad^oXov itdcav d^poQL^sC&aL yoovCav.<br />
1) De his fragmentis n. Tamiery Bulletin des sciences<br />
mathematiques, 2« serie, V p. 124, et cfr. <strong>quae</strong> monui Philolog.<br />
XLIII p. 488. ibidem suspicatus sum, etiam Procl. p. 227, 9sq.<br />
ad Apollonium pertinere.
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