Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
14 KSJNIK^N d'. Tciv avtcav ovrcov tb ^ ^rj^stov scxo iv rij icpfl^g yoivCa r^g vfco t(Dv a0v[i7ttc6tcov TtSQisxoiiEvrjg. keycj, otL xal ovtcog Ta 5 avta 6v[iPy66tai. ^ X^ ^ / /Z riypGi yag icpaTtto- ^evrj rj z/0, Tcal iitL- ^svxd^etaa rj 0B TtiTttstcj, el dvvatov, ^rj dta 10 tov Z, aXka dta roi) H. L0ri aga idtlv rj ^E tfi EH' OTteQ atoTtov vTtoKeLtai yccQ rj z^E tij EZ t0ri. 15 T^v avtd5v ovtcov e6tc3 to z/ Ofi^etov inl fiLccg tcov d0v^7ttcota)v, xal ta XoLTta yLvsdd^co ta avtd. leyG)^ otL rj aTtb trjg dcprjg iit dnqav trjv dito- Xrjipd^et^av dyo^evr} 7taQdX2.r}Xog e^tat tfj d6v^7ttootG), icp' rjg s(StaL t6 z/ arj^stov. 20 seto yccQ td siQrj^Eva, xal xslG&co tfj ^E t6rj 7] EZ, xal ditb tot) B TtaQaXXrjXog tfi MN ri%^co, sl dvvatov, rj BH. tdrj ccQa rj ^E tfj EH' ojtSQ dto- Ttov vjtoKSLtaL yaQ rj ^E trj EZ i6rj. -9-'. 26 ^Edv dTtb tov avtov arj^SLOv dvo svd^stat dxd-co^L tsiivov0aL X(6vov to^rjv ij xvkXov TtsQLcpsQeLav eKateQa Katd dvo arj^eta, Kal cog i'xov6iv aC olaL JtQbg tdg 25. 8vo] § V. 27. 8vo] ^ V.
CONICOKUM LIBER IV. 15 YIL lisdem positis piinctum z/ in angulo positum sit, qui angulo ab asymptotis comprehenso deinceps est positus. dico, sic quoque eadem adcidere. ducatur enim contingens ^0, et ducta 0JB, si fieri potest, per Z ne cadat, sed per H. erit igitur ^E = EH\ quod absurdum est; supposuimus enim, esse ^E = EZ. VIII. lisdem positis punctum z/ in alterutra asymptotarum positum sit, et cetera eadem sint. dico, rectam a puncto contactus ad extremam rectam abscisam ductam ei asymptotae parallelam esse, in qua positum sit punctum z/. sint enim ea, quae diximus, et ponatur EZ = zlE, et a 5 rectae MN parallela ducatur, si fieri potest, BH, itaque JE = EH [III, 34]; quod absurdum est; supposuimus enim, esse /lE = EZ. IX. Si ab eodem puncto duae rectae ducuntur coni sectionem uel arcum circuli singulae in binis punctis secantes, et ut totae se babent ad partes extrinsecus
- 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 ^ev i^ed^Tj
- Page 96 and 97: 4 KSiNIK^N d'. ysvij tovtOLs ccTtlc
- Page 98 and 99: 6 KSiNIKS^N d'. yiivYi av^ela Sdts
- Page 100 and 101: 8 K2NIKQN S'. P'- Tavta fihv xocvwg
- Page 102 and 103: 10 KSiNIK^N S'. 66j;o0av avTLxeC^ev
- Page 104 and 105: 12 K^NIK^JN 8\ lirj yccQ, c(XX% el
- 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
14 KSJNIK^N d'.<br />
Tciv avtcav ovrcov tb ^ ^rj^stov scxo iv rij icpfl^g<br />
yoivCa r^g vfco t(Dv a0v[i7ttc6tcov TtSQisxoiiEvrjg.<br />
keycj,<br />
otL xal ovtcog Ta<br />
5 avta 6v[iPy66tai. ^ X^ ^ / /Z<br />
riypGi yag icpaTtto-<br />
^evrj rj z/0, Tcal iitL-<br />
^svxd^etaa rj 0B TtiTttstcj,<br />
el dvvatov, ^rj dta<br />
10 tov Z, aXka dta roi) H.<br />
L0ri aga idtlv rj ^E<br />
tfi EH' OTteQ atoTtov<br />
vTtoKeLtai yccQ rj z^E tij EZ t0ri.<br />
15 T^v avtd5v ovtcov e6tc3 to z/ Ofi^etov inl fiLccg<br />
tcov d0v^7ttcota)v, xal ta XoLTta yLvsdd^co ta avtd.<br />
leyG)^ otL rj aTtb trjg dcprjg iit dnqav trjv dito-<br />
Xrjipd^et^av dyo^evr} 7taQdX2.r}Xog e^tat tfj d6v^7ttootG),<br />
icp' rjg s(StaL t6 z/ arj^stov.<br />
20 seto yccQ td siQrj^Eva, xal xslG&co tfj ^E t6rj<br />
7] EZ, xal ditb tot) B TtaQaXXrjXog tfi MN ri%^co, sl<br />
dvvatov, rj BH. tdrj ccQa rj ^E tfj EH' ojtSQ dto-<br />
Ttov vjtoKSLtaL yaQ rj ^E trj EZ i6rj.<br />
-9-'.<br />
26 ^Edv dTtb tov avtov arj^SLOv dvo svd^stat dxd-co^L<br />
tsiivov0aL X(6vov to^rjv ij xvkXov TtsQLcpsQeLav eKateQa<br />
Katd dvo arj^eta, Kal cog i'xov6iv aC olaL JtQbg tdg<br />
25. 8vo] § V. 27. 8vo] ^ V.
Change language