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

More documents

Recommendations

Info

12 K^NIK^JN 8\ lirj yccQ, c(XX% el dvvatov^ eGtco rj BH. eatai dr/, cog ri Fz/ TCQO^ J E^ ri FH TtQog HE' ojteQ advvatov. g. 'Eav VTteQPoXijg Xrjcpd^rj ti arjêtov ixtog, xal an 5 avtov TtQog f^v to^rjv diax^coaL dvo evdêtai, av rj ^lv ecpaTttetai^ r] de TtaQCikkrilog \ri\ ^ca tav aOv^- Tttcatcov^ xal tfj aTtoXa^âvoêvrj aitb trjg 7taQaXXi]kov fietaî) trjg TO/t^g ml rot} 0rjêcov l'0ri in evdêcag ivtbg trjg to^rjg ted^rj, rj ajtb trjg aq)rjg inl tb ycvo- 10 fievov arjiietov iitiêvyvviiivri ev&eta 0v^7te6ettai tfj to^y, xal r] ajtb rijg 6v^7ttc66ecog iitl tb ixtbg 07}- êtov dyoêvrj iq)di(êtac trjg to^fjg, eetco vTteQôXr] r} AEB^ xal eLktjcpd-co ti Crjêtov ixtbg t6 z/, xal e6tco TtQoteQOv ivtbg trjg vjtb toov 15 dov^Tttcotcov 7teQie%oêvrig ycovCag tb ^, xal djt avtoi r êv J5z/ icpa7tte6d^co, rj de /lEZ TtaQaXXrjXog eatco tfi eteQa tdov d^v^Tttcotcov , Tcal xeL6&co tf] Ê l'0rj r} EZ. Xeyco, otL rj djtb tov B i7tl tb Z e7tLêvyvv' [levr] av^7te6ettaL tfj to^jj, xal rj ditb trig 6v[i7ttc60ecog 20 iTtl tb /1 icpd^lêtaL f^g to^rjg. rjx^co yaQ igâ^ttoêvrj trjg to^rjg rj AA^ xal izL- êvxêtaa rj BA te^vetco trjv JE^ el dvvatov, ^yj xatd t6 Z, dXXd Kad-^ eteQov tL t6 H. 'eotai drj iat] r] Ê tfj EH' 07teQ dt07tov' VTtoTceLtaL yaQ r] /lE 25 tfi EZ lar]. r}] 2. HE] p, TE V. 5. Svo\ § V. 6. itpocntrjzai p. Vp; deleo.
CONICOEUM LIBER IV. 13 ne cadat emm, sed, si fieri potest, sit BH. itaque erit [III, 35] rJ:Ê=rH:HEquod fieri non potest. VI. Si extra hyperbolam punctum aliquod sumitur, ab ecque ad sectionem duae rectae perducuntur, quarum altera contingit, altera alterutri asymptotarum parallela est, et rectae de parallelo inter sectionem punctumque abscisae aequalis recta in ea producta intra sectionem ponitur, recta a puncto contactus ad punctum ita ortum ducta <strong>cum</strong> sectione concurret, et recta a puncto concursus ad punctum extrinsecus positum ducta sectionem continget. sit hyperbola AEB, et extrinsecus sumatur punctum aliquod z/, et prius z/ positum sit intra angulum ab asymptotis comprehensum, ab eoque contingat 5z/, ÊZ autem alteri asymptotae sit parallela, ponaturque EZ = JE, rectam a 5 ad Z ductam dico, <strong>cum</strong> sectione concurrere, et rectam a puncto concursus ad z/ ductam sectionem contingere. ducatur enim Â sectionem contingens, et ducta BAj si fieri potest, rectam Ê in Z ne secet, sed in alio puncto H. erit igitur Ê = EH [III, 30]; quod absurdum est; supposuimus enim, esse Ê = EZ.
Page 7 and 8:
(D s APOLLONIl PERGAEI QUAE GEAECE
Page 9 and 10:
PEAEFATIO. Praeter librum lY Conico
Page 11 and 12:
AB PRAEFATIO. V 3. cod. Paris. Gr.
Page 13 and 14:
PRAEFATIO. VII II p. 306, 2 A, B] A
Page 15 and 16:
; PRAEFATIO. IX pro nACGON, p. 202,
Page 17 and 18:
PROLEGOMENA. Cap. I. De codieibus C
Page 19 and 20:
PROLEGOMENA. XIII Apollonii Conic.
Page 21 and 22:
PROLEGOMENA. XV codicum illorum XXV
Page 23 and 24:
: PROLEGOMENA. XVH in Galliam cum c
Page 25 and 26:
PROLEGOMENA. XIX i-n — om., ov 8i
Page 27 and 28:
PEOLEGOMENA. XXI Ss 24; p. 4, 13 6v
Page 29 and 30:
PROLEGOMENA. XXIII p. U, 2 Tf^vovaL
Page 31 and 32:
PROLEGOMENA. XXV p. 166, 2 dvo] pos
Page 33 and 34:
PROLEGOMENA. XXVII p. 292, 20 ^Z] s
Page 35 and 36:
PROLEGOMENA. XXIX I p. 410, 16 eatc
Page 37 and 38:
PROLEGOMENA. XXXI obstat, quomiims
Page 39 and 40:
I PROLEGOMENA. XXXIK i>lOCT£QOC p.
Page 41 and 42:
27 PROLEGOMENA. XXXV p. 104, 5 MB]
Page 43 and 44:
PROLEGOMENA. XXXVII iit] H% T£ I p
Page 45 and 46:
PROLEGOMENA. XXXIX B// 11 0if] in r
Page 47 and 48:
PROLEGOMENA. XLI TtccQdXXrjXog, nat
Page 49 and 50:
PROLEGOMENA. XLIII A e corr. 6 %ai
Page 51 and 52:
PROLEGOMENA. XLV 12 rijff] T5g AB 1
Page 53 and 54: PROLEGOMENA. XLVII Sia tov O 21 nrZ
Page 55 and 56: PROLEGOMENA. XLIX eS — 19 MZ ro]
Page 57 and 58: PROLEGOMENA. LI p. 4, 5 TOfvTa] zcc
Page 59 and 60: p. 74, 15 AHT] ABF PROLEGOMENA. LII
Page 61 and 62: PROLEGOMENA. LV p. 104, 4 JE] V, Ez
Page 63 and 64: PROLEGOMENA. LVII Cap. II. Q,uo mod
Page 65 and 66: PROLEGOMENA. LIX Pappi lemma
Page 67 and 68: PROLEGOMENA. LXI monstratione recep
Page 69 and 70: PROLEGOMENA. LXIII praeter hos loco
Page 71 and 72: PROLEGOMENA. LXV Bignificare uidetn
Page 73 and 74: PROLEGOMENA. LXVII I p. 104, 4 JE]
Page 75 and 76: ; PROLEGOMENA. LXIX Gtiq^rjg 7toXv7
Page 77 and 78: PROLEGOMENA. LXXI fatione ornatae c
Page 79 and 80: PROLEGOMENA. LXXIII 18 TtXdTog —
Page 81 and 82: . PROLEGOMENA. LXXV ipsius scctioni
Page 83 and 84: PROLEGOMENA. LXXVII caput linee mun
Page 85 and 86: PKOLEGOMENA. LXXIX aut extra eam, c
Page 87 and 88: PROLEGOMENA. LXXXI lun. 1428). qui
Page 89 and 90: PROLEGOMENA. • LXXXIII de prets d
Page 91: PROLEGOMENA. LXXXV notis commemorau
Page 94 and 95: KiiNIKi^N 8'. IIqoxbqov êv iêd^Tj
Page 96 and 97: 4 KSiNIK^N d'. ysvij tovtOLs ccTtlc
Page 98 and 99: 6 KSiNIKS^N d'. yiivYi avêla Sdts
Page 100 and 101: 8 K2NIKQN S'. P'- Tavta fihv xocvwg
Page 102 and 103: 10 KSiNIK^N S'. 66j;o0av avTLxeCêv
Page 106 and 107: 14 KSJNIK^N d'. Tciv avtcav ovrcov
Page 108 and 109: 16 KSiNIKSiN d'. ixrbg aTCoXa^Pavo^
Page 110 and 111: 18 KSiNIKSiN d\ L . TaZta iikv xoiv
Page 112 and 113: 20 KS^NIKSiN 8\ TtQos AH, deLKtaov,
Page 114 and 115: 22 KSiNIKOT d'. aTto xov B TtaQcc r
Page 116 and 117: 24 KSiNlKSiN 8'. dh iirixs dicc tov
Page 118 and 119: 26 KS^NIKSiN d'. ccXla dLcc xov H.
Page 120 and 121: 28 KS^NIKSiN d\ XeyG), (ki, rj ano
Page 122 and 123: 30 KSiNIKSiN 8'. TCQog 6v^7ts6SitaL
Page 124 and 125: 32 K^NIKSiN S' 'Eccv ds To Xrig^d^s
Page 126 and 127: 34 KSiNIKSiN S\ kiyco^ oxL 7} dta x
Page 128 and 129: 36 KSiNIKSiN 8'. ovx ^6taL, c)g rj
Page 130 and 131: 38 KSiNIKQN 8'. oTCeQ aroTtov' tj t
Page 132 and 133: 40 KSiNIKSiN d'. Xoyov 7] AA JtQog
Page 134 and 135: 42 KSiNIKSiN S'. 7C
Page 136 and 137: 44 KSiNIKSiN S'. iccv ds inl xijg i
Page 138 and 139: 46 K
Page 140 and 141: 48 KSiNIKSiN 8'. i7t£^€vj(^d-co
Page 142 and 143: 50 KSiNIKi^N 3'. M^ TCQog ^ A xal X
Page 144 and 145: 52 KSiNIKSiN d'. aTts^svx^c^ ^V ^^^
Page 146 and 147: 54 KSiNIKSlN 8\ «TTo rcov A, B i(p
Page 148 and 149: 56 KSiNlKS^N $'. £6tco0av avtLKSL^
Page 150 and 151: 58 KQNIKJJN S'. Xr,'. Kcovov roft^
Page 152 and 153: 60 KS^NIKS^N d'. itpdtl^srccL Kata
Page 154 and 155:
62 KSiNIKSiN d'. dia tr^v ABF vtcsq
Page 156 and 157:
' 64 KiiNIKiiN d\ xa KVQtd, 7] dvTL
Page 158 and 159:
QQ KiiNIKSiN 8', 'Eav vTtsQôXrj ^t
Page 160 and 161:
68 K£iNIK
Page 162 and 163:
5. at] p, om. V. 13. ON] ONP Y; cor
Page 164 and 165:
72 KS^NIKiiN d'. ai HZ!I, &AM, cctc
Page 166 and 167:
74 KSiNIKSiN d'. yaviag. Ttdkiv iTt
Page 168 and 169:
76 K5>NIKS
Page 170 and 171:
78 KSiNIKSiN S\ rofiov6a dLa^sTQog
Page 172 and 173:
80 KSiNIK^N S\ Qov TtaQccXXriXoL cc
Page 174 and 175:
82 KSiNIKSiN 8\ va\ Êccv vTtsQôXr
Page 176 and 177:
84 KSiNIKSiN d'. ©z/, xal iTCSÊvx
Page 178 and 179:
86 K^NIKf>N 8'. v8\ 'Eccv vTCSQôXr
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. toîjg dsvteQov '£%
Page 204 and 205:
a 112 FRAGMENTA. Eadem propositio s
Page 206 and 207:
114 FKAGMEI^TA. 6} yQa^îxd, 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. yavoêvav 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 230 and 231:
138 FRAGMENTA. XBVtQOv avtov tr^v t
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
Page 280 and 281:
B 188 COMMENTARIA ANTIQUA. TQOV t6
Page 282 and 283:
190 COxMMENTARIA ANTIQUA. dijXov de
Page 284 and 285:
A 192 COMMENTARIA ANTIQUA. ^ BE, Xo
Page 286 and 287:
194 COMMENTARIA ANTIQUA. rfi vjtb H
Page 288 and 289:
196 COMMENTARIA ANTIQUA. aQU trig A
Page 290 and 291:
A 198 COMMENTARIA ANTIQUA. i
Page 292 and 293:
200 COMMENTARIA ANTIQUA. tijg atpai
Page 294 and 295:
. 202 COMMENTARTA ANTIQUA. dixcc ri
Page 296 and 297:
204 COMMENTARIA ANTIQUA. QV(p7iv el
Page 298 and 299:
4. taoayisXr^ W. 8. oQ&ds] inter q
Page 300 and 301:
208 COMMENTARIA ANTIQUA. ixatSQa rc
Page 302 and 303:
210 COMMENTARIA ANTIQUA. vTCo HZK l
Page 304 and 305:
212 COMMENTARIA ANTIQUA. olrj tj HK
Page 306 and 307:
214 COMMENTARIA ANTIQUA. Eiq rb T6
Page 308 and 309:
. 216 COMMENTARIA ANTIQUA. triv yiC
Page 310 and 311:
218 COMMENTARIA ANTIQUA. T6 de djto
Page 312 and 313:
220 COMMENTARIA ANTIQUA. li](pd^(o
Page 314 and 315:
222 COMMENTARIA ANTIQUA. Elg ro ly'
Page 316 and 317:
224 COMMENTARIA ANTIQUA. Eig t6 ts'
Page 318 and 319:
226 COMMENTARIA ANTIQUA. ayoiievai
Page 320 and 321:
228 COMMENTAKIA ANTIQUA. dvvatov 8\
Page 322 and 323:
230 COMMENTARIA ANTIQUA. TtQog OQd^
Page 324 and 325:
232 COMMENTAEIA ANTIQUA. vLXcc yQa(
Page 326 and 327:
234 COMMENTARIA ANTIQUA. q)0[isv vT
Page 328 and 329:
236 COMMENTARIA ANTIQUA. Tov KTtb
Page 330 and 331:
238 COMMENTARIA ANTIQUA. otL 7] HJ
Page 332 and 333:
240 COMMENTARIA ANTIQUA. AZ^ xo AMN
Page 334 and 335:
242 COMMENTARIA ANTIQUA. eig t6 avr
Page 336 and 337:
244 COMMENTARIA ANTIQUA. 6tQiipavtL
Page 338 and 339:
246 COMMENTARIA ANTIQUA. avrrjv ahC
Page 340 and 341:
248 COMMENTARIA ANTIQUA. dst ^BvxoL
Page 342 and 343:
250 COMMENTARIA ANTIQUA. t6 TtaQaXX
Page 344 and 345:
252 COMMENTARIA ANTIQUA. rsQct tov
Page 346 and 347:
254 COMMENTARIA ANTIQUA. «t 7taQcc
Page 348 and 349:
256 COMMENTARIA ANTIQUA. STtsl yccQ
Page 350 and 351:
258 COMMENTAEIA ANTIQUA. t6 E/iZ xa
Page 352 and 353:
260 COMMENTARIA ANTIQUA. iv ta Qrjt
Page 354 and 355:
262 COMMENTARIA ANTIQUA. J* tJ yccQ
Page 356 and 357:
264 COMMENTARIA ANTIQUA. to0ccvtag,
Page 358 and 359:
266 COMMENTARIA ANTIQUA. avtl tov B
Page 360 and 361:
268 COMMENTARIA ANTIQUA. dvvarai ds
Page 362 and 363:
270 COMMENTARIA ANTIQUA. dh ccTtode
Page 364 and 365:
272 COMMENTARIA ANTIQUA. XrjXoyQa^^
Page 366 and 367:
274 COMMENTARIA ANTIQUA. Elg tbv iT
Page 368 and 369:
276 COMMENTARIA ANTIQUA. Br, rj EJ
Page 370 and 371:
278 COMMENTARIA ANTIQUA. ivaXXd^, a
Page 372 and 373:
280 COIÎMENTARIA ANTIQUA. iiStLV l
Page 374 and 375:
282 COMMENTARIA ANTIQUA. d^stiSa 7}
Page 376 and 377:
284 COMMENTARIA- ANTIQUA. EtQYixai
Page 378 and 379:
286 COMMENTARIA ANTIQUA. X%' Ttsgl
Page 380 and 381:
288 COIVIMENTARIA ANTIQUA. sTtLXoyo
Page 382 and 383:
E£g ro devtSQOv. '^QXOÊVog rot' /
Page 384 and 385:
292 COMMENTARIA ANTIQUA. *'E(5tG} v
Page 386 and 387:
294 COMMENTARIA ANTIQUA. ^sdâ dl t
Page 388 and 389:
296 COMMENTARIA ANTIQUA. iyy£yQa(i
Page 390 and 391:
298 COMMENTAEIA ANTIQUA. trjg to^^g
Page 392 and 393:
300 COMMENTARIA ANTIQUA. 6V^7CL7CT0
Page 394 and 395:
x 1 ^ 302 COMMENTARIA ANTIQUA. xata
Page 396 and 397:
304 COMMENTARIA ANTIQUA. Tcocvov Tt
Page 398 and 399:
306 COMMENTARIA ANTIQUA. dst, q)r}6
Page 400 and 401:
308 COMMENTARIA ANTIQUA. IriXoL ccC
Page 402 and 403:
310 COMMENTARIA ANTIQUA. Etg t6 ^rj
Page 404 and 405:
312 COMMENTARIA ANTIQUA. TtQog t6 t
Page 406 and 407:
Eig ro XQitov. To tQltOV tCDV KCOVL
Page 408 and 409:
316 COMMENTARIA ANTIQUA. AZ rfi ^B'
Page 410 and 411:
. 318 COMMENTARU ANTIQUA. ytovov ro
Page 412 and 413:
320 COMMENTARIA ANTIQUA. jtXrjv orr
Page 414 and 415:
322 COMMENTARIA ANTIQUA. iTCeLdrj d
Page 416 and 417:
324 COMMENTARIA ANTIQUA. t6ov i
Page 418 and 419:
326 . . COMMENTARIA ANTIQUA. Kccl 6
Page 420 and 421:
328 COMMENTARIA ANTIQUA. * cc(pc5v
Page 422 and 423:
330 COMMENTARIA ANTIQUA. 7t6v i^TLV
Page 424 and 425:
332 €OMMENTARIA ANTIQUA. ds rjKta
Page 426 and 427:
. 334 COMIÎENTARIA ANTIQUA. 1'67}
Page 428 and 429:
336 COMMENTARIA ANTIQUA. Etg t6 Ky'
Page 430 and 431:
338 COMMENTARIA ANTIQUA. AA^ xo ccT
Page 432 and 433:
. 340 COMMENTARIA ANTIQUA. t6 vjtb
Page 434 and 435:
342 COMMENTARIA ANTIQUA. za TM, MZ,
Page 436 and 437:
344 COMMENTARIA ANTIQUA. STts^svxd-
Page 438 and 439:
346 COMMENTARIA ANTIQUA. xrjv rav F
Page 440 and 441:
348 COMMENTARIA ANTIQUA. oiJrcog rj
Page 442 and 443:
350 COMMENTARIA ANTIQUA. *j4XXa)g t
Page 444 and 445:
352 COMMENTARIA ANTIQUA. xccl to av
Page 446 and 447:
Ei^ ro d', To TsraQTOv ^l^T^Cov^ g)
Page 448 and 449:
' a 356 COMMENTARIA ANTIQUA. avdyvc
Page 450 and 451:
358 COMMENTARIA ANTIQUA. TtaQccXXrj
Page 452 and 453:
360 COMMENTARIA ANTIQUA. xal 0v^7Ct
Page 459:
ll^h/llllVl w^«î* uwuuw ivt »! Q
show all

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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?