Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
42 KSiNIKSiN S'. 7C
CONICORUM LIBER IV. 43 terea erit [I def. 4] in altera sectione NM = EN, in altera NE = NH-^ quare etiam NM = NH^ quod fieri non potest. XXVI. Si quae linearum, quas diximus, inter se in uno puncto contingunt, non concurrunt inter se in aliis punctis pluribus quam duobus. nam duae aliquae linearum, quas diximus, inter se contingant in puncto ^. dico, eas non concurrere in aliis punctis pluribus quam duobus. nam si fieri potest, concurrant in B, F, zl, et puncta concursus deinceps sint posita nullum inter se praetermittentia, ducaturque ^r* et producatur, ab A autem contingens ducatur AA] ea igitur duas sectiones continget et cum FB concurret. concurrat in Aj et fiat FA : AB = m : HB, ducaturque AH et producatur; concurret igitur cum sectionibus, et rectae a punctis concursus ad A ductae sectiones contingent [prop. I]. producatur et in 0, P concurrat, ducanturque @A, AP'j eae igitur sectiones contingent. itaque recta a z/ ad ^4 ducta utramque sectionem secat, et eadem, quae antea [prop. XXV] diximus, absurda euenient [III, 37]. ergo non secant inter se in pluribus punctis quam duobus. sin in ellipsi uel arcu circuli FB et AA parallelae sunt, eodem modo, quo in praecedenti, demonstrationem conficiemus, cum demonstrauerimus, A® diametrum esse.
- 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 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 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 vTtsQ^oXrj ^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\ ^Eccv vTtsQ^oXr
- Page 176 and 177: 84 KSiNIKSiN d'. ©z/, xal iTCS^Evx
- Page 178 and 179: 86 K^NIKf>N 8'. v8\ 'Eccv vTCSQ^oXr
- Page 180 and 181: 88 KS>NIK
- Page 182 and 183: 90 KSiNIKSiN S'. ov 6v^7ts6£trai.
42 KSiNIKSiN S'.<br />
7C
Change language