Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
138 FRAGMENTA. XBVtQOv avtov tr^v trig dva^ccXiag ag inl tcc iTCo^sva trjg aTCoyelov TteQKpEQSiag^ xal diai^ri tig ano TiJ vfsog ri^av svd^sta ts^vovaa tbv inCTivKlov ovtag coOts tov ccJtoXa^Pavo^svov avtfjg iv ta inLKVKXc) 5 t^i]^atog trjv rj^iasiav TCQog tr}v aito tfjg otl^scag rj^av lisiQi tijg Kata tb TCSQiysiov tov imKVKlov to^rjg Xoyov s%siv^ ov tb td%og tov imKVKXov iCQbg tb tdiog tov datSQog, tb yivo^svov arjiisiov VTcb tijg ovrog diaxdsiOrjg svd^siag TCQog trj TtSQiysia TCSQicpSQSicc tov 10 iniKVKXov diOQit,si tdg ts vTCoXsifsig Kal tccg jCQorjy)]' 6sig, Sats Kat avtov yivo^svov tbv dctSQa cpavta- Ciav TCOistad^at atrjQty^ov' idv ts did tfjg ^tar' £x- KsvtQotrjta vTCod^sascjg rj TCaQCC tbv 7]hov dvco^aXCa 6v[i^aCvri tfjg toiavtrjg inl fiovov tav TCdaav dno- 15 6ta6iv dnb tov rjlCov noiov^svov tQtav datsQov nQOxcoQSiv dvva^svrjg, tov ^sv KsvtQOv tov iKKSvtQov nsQl t6 tov t^odiaKov KsvtQov slg td sno^sva tcov ^ipdCcjv i6ota%og to rjlCc) (psQo^svov, TOt' ds datsQog inl tov iKKSvTQov nsQi t6 KsvtQov avtov slg td nQO- 20 rjyov^sva tcov ^adCcov Caotaxcog tfj trjg dvco^aXCag naQodo, Kal dtax^rj Ttg svd^sta inl tov iKKsvtQOv kvkXov 8id Tou KSvtQov tov i,(p8iaKov^ tovtsCti trjg oipscog, ovtcog sxovOa coOts tr^v rj^Castav avtijg oXrjg nQbg t6 sXaaaov tcov vnb tfjg oipsog ytvo^svcov t^rj- 25 fidtcov Xoyov sxsiv^ ov t6 tdxog tov iKKSvtQov n^bg t6 tdxog tov dotSQog, Kat iKstvo t6 Crj^stov ytyvofisvog b datriQ^ Kad'^ o ts^vsi rj svd^sta tr]v nsQCysiOV tofj ixKSvtQov nsQicpsQSiav , trjv tov CtriQty^cov cpavta6Cav noir}6stai. 30 De demonstrationibus Apollonii u. Delambre apud Halma IP p. 19.
FRAGMENTA. 139 Cfr. Procli hypotyposes p. 128 ed. Halma: s6tL ^ev ovv ^AtcoXXcovCov xov UeQyaCov tb evQi]iia, dh ama 6 IlroXs^atog iv ra ij3' rrjg 0vvrd^ec3g. %Qrjrao 60. Hippolytus refutat. omnium haeres. IV, 8 p. 66 ed. Duncker; 5 Kal djtoorrj^a de ditb rrjg eTtccpaveCag ri]g yfig eitl rbv ^eXrjvoaxbv kvkIov 6 iiev Ud^iog ^AQC6raQ%og dvayQacpec ^radCcov .... 6 de 'ATtollavcog ^VQLadcov ^. De numero aut corrupto aut ab Hippolyto male intellecto u. Tannery Memoires de la societe des sciences 10 physiques et naturelles de Bordeaux, 2® serie, V p. 254. 61. Ptolemaeus Chennus apud Photium cod. CXC p. 151 b 18 ed. Bekker: 'AjtoXXcoviog d' 6 ev rotg rov QcXoTtdroQog xQovoLg ijt d^tQOVo^Ca 7teQip6rjtog yeyovcjg e ixaXetro, dion 15 t6 6%ri^a roi) e 6v^7teQi(peQerai rc5 rijg 6elrjvrjg, TteQi tjv ixetvog iidki^ra rixQCpayro. Optica. 62. Fragmentum mathematicum Bobiense ed.Belger HermesXVIp. 279sq. (quae male legerat ille, emendaui 20 Zeitschr. f.Math. u. Phys. XXVIII, hist. Abth. p. 124sq.): Oi ^ev oiv TtaXaiOi vTtela^ov rrjv e^aipiv 7toiel6d^ai TteQi rb xevrQov rot) TcaroTtrQOv, rovro de ijjevdog ^Anollcoviog ^dXa deovrcog (eV rra) TCQog roig xarojtrQixovg edei^ev, xal JteQl rCva de roTtov 25 7] iK7tvQco6ig e0tai, diaae6dq)riKev iv ta jteQi tov 7tvQCov. ov de tQo^tov d7todeiKvvov6iV, ov dia de, o Kal dvaiQyoog Kal did ^aKQOtSQcov 6vvC6trj6iv. ov ^rjv dkXd rdg ^ev vtc avrov xo^i^o^evag d^todeC^eig TtaQa^ev. 30
- Page 180 and 181: 88 KS>NIK
- Page 182 and 183: 90 KSiNIKSiN S'. ov 6v^7ts6£trai.
- Page 184 and 185: 92 KP-NlKSiN
- Page 186 and 187: 94 KQNIKQN «'. 'Eav dvtLTcei^svccL
- Page 188 and 189: 96 KOTIKSiN d'. avta xa KotXa, wg i
- Page 191: FRAGMENTA.
- Page 194 and 195: 102 FRAGMENTA. d^pXvyoviov vTtBQ^dX
- Page 196 and 197: 104 FRAGMENTA. olg a%^£L0av iv iKc
- Page 198 and 199: 106 FRAGMENTA. ovtag, S6te r^v Zz/
- Page 200 and 201: 108 FEAGMENTA. Xoyov £%ov0ag tov a
- Page 202 and 203: 110 FRAGMENTA. to^ijg dsvteQov '£%
- Page 204 and 205: a 112 FRAGMENTA. Eadem propositio s
- Page 206 and 207: 114 FKAGMEI^TA. 6} yQa^^ixd, rav d^
- Page 208 and 209: 116 FRAGMENTA. antyitai da th trjg
- Page 210 and 211: 118 FRAGMENTA. Sqov 0rj}i£tov ^'^'
- Page 212 and 213: 120 FRAGMENTA. «AA« rtov aTtXovCt
- Page 214 and 215: 122 FRAGMENTA. et, de meme, le doub
- Page 216 and 217: 124 FRAGMENTA. 35. Pappus in Elem.
- Page 218 and 219: 126 FRAGMENTA. yavo^evav iTtl xov E
- Page 220 and 221: 128 FRAGMENTA. dexddog, tmv ds F, z
- Page 222 and 223: 1. j4f B xal (iLccg rcov] dubitans
- Page 224 and 225: 132 FRAGMENTA. drjXov, Ttag £0tiv
- Page 226 and 227: 1B4 FRAGMENTA. Cfr. p. 124, 17 sq.:
- Page 228 and 229: 136 FRAGMENTA. d£ixvvov0a, oti di%
- Page 233: I COMMENTARIA ANTIQUA.
- Page 236 and 237: 144 COMMENTARIA ANTIQUA. [Eucl. III
- Page 238 and 239: 146 COMMENTARIA ANTIQUA. xal 6xaXr}
- Page 240 and 241: 2. ccficporEQcc] Bv.dxsQOv Hultsch.
- Page 242 and 243: 8. gTTfl ovv Uarj coni. HultscTi. 2
- Page 244 and 245: 152 COMMENTARIA ANTIQUA. lilv 7] JH
- Page 246 and 247: I 1—I 1 1 1 154 COMMENTARIA ANTIQ
- Page 248 and 249: 156 COMMENTARIA ANTIQUA. 7j\ ^Lcc 1
- Page 250 and 251: 158 COMMENTAEIA ANTIQUA. v.a\ oyioi
- Page 252 and 253: 160 COMMENTARIA ANTIQUA. p\ "E6t(o
- Page 254 and 255: I 1 ; 1 1 1 I 1 1 1 162 COMMENTARIA
- Page 256 and 257: I 1 1 1 1 I 1 1 1 1 164 COMMENTARIA
- Page 258 and 259: II. SEEENUS. Serenus de sectione cy
- Page 260 and 261: IV. EUTOCII COMMENTAKIA IN CONICA.
- Page 262 and 263: 170 COMMENTARIA ANTlQUA. ^sv ra oQ%
- Page 264 and 265: 172 COMMENTARIA ANTIQUA. ABF, xal ^
- Page 266 and 267: 174 COMMENTARIA ANTIQUA. BAF, 6vo O
- Page 268 and 269: 176 COMMENTARIA ANTIQUA. 7j EZ TCcc
- Page 270 and 271: 178 COMMENTARIA ANTIQUA. ra TtaQcc
- Page 272 and 273: 180 COMMENTARIA ANTIQUA. dydyrjg et
- Page 274 and 275: 182 COMMENTARIA ANTIQUA. H tdav AX^
- Page 276 and 277: 184 COMMENTARIA ANTIQUA. 7t8Qi(p8Q
- Page 278 and 279: 186 COMMENTARIA ANTIQUA. fi£^(psra
138 FRAGMENTA.<br />
XBVtQOv avtov tr^v trig dva^ccXiag ag inl tcc iTCo^sva<br />
trjg aTCoyelov TteQKpEQSiag^ xal diai^ri tig ano TiJ<br />
vfsog ri^av svd^sta ts^vovaa tbv inCTivKlov ovtag<br />
coOts tov ccJtoXa^Pavo^svov avtfjg iv ta inLKVKXc)<br />
5 t^i]^atog trjv rj^iasiav TCQog tr}v aito tfjg otl^scag rj^av<br />
lisiQi tijg Kata tb TCSQiysiov tov imKVKlov to^rjg<br />
Xoyov s%siv^ ov tb td%og tov imKVKXov iCQbg tb tdiog<br />
tov datSQog, tb yivo^svov arjiisiov VTcb tijg ovrog<br />
diaxdsiOrjg svd^siag TCQog trj TtSQiysia TCSQicpSQSicc tov<br />
10 iniKVKXov diOQit,si tdg ts vTCoXsifsig Kal tccg jCQorjy)]'<br />
6sig, Sats Kat avtov yivo^svov tbv dctSQa cpavta-<br />
Ciav TCOistad^at atrjQty^ov' idv ts did tfjg ^tar' £x-<br />
KsvtQotrjta vTCod^sascjg rj TCaQCC tbv 7]hov dvco^aXCa<br />
6v[i^aCvri tfjg toiavtrjg inl fiovov tav TCdaav dno-<br />
15 6ta6iv dnb tov rjlCov noiov^svov tQtav datsQov<br />
nQOxcoQSiv dvva^svrjg, tov ^sv KsvtQOv tov iKKSvtQov<br />
nsQl t6 tov t^odiaKov KsvtQov slg td sno^sva tcov<br />
^ipdCcjv i6ota%og to rjlCc) (psQo^svov, TOt' ds datsQog<br />
inl tov iKKSvTQov nsQi t6 KsvtQov avtov slg td nQO-<br />
20 rjyov^sva tcov ^adCcov Caotaxcog tfj trjg dvco^aXCag<br />
naQodo, Kal dtax^rj Ttg svd^sta inl tov iKKsvtQOv<br />
kvkXov 8id Tou KSvtQov tov i,(p8iaKov^ tovtsCti trjg<br />
oipscog, ovtcog sxovOa coOts tr^v rj^Castav avtijg oXrjg<br />
nQbg t6 sXaaaov tcov vnb tfjg oipsog ytvo^svcov t^rj-<br />
25 fidtcov Xoyov sxsiv^ ov t6 tdxog tov iKKSvtQov n^bg<br />
t6 tdxog tov dotSQog, Kat iKstvo t6 Crj^stov ytyvofisvog<br />
b datriQ^ Kad'^ o ts^vsi rj svd^sta tr]v nsQCysiOV<br />
tofj ixKSvtQov nsQicpsQSiav , trjv tov CtriQty^cov cpavta6Cav<br />
noir}6stai.<br />
30 De demonstrationibus <strong>Apollonii</strong> u. Delambre apud<br />
Halma IP p. 19.
Change language