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26 KS^NIKSiN d'. ccXla dLcc xov H. ^6tai di], ag 7] A/1 TtQog z/5, ri AH TtQog HB' otcbq aroTCov' vitoxELxai yaQ, cjg ij j4zt TtQog zJB, 7] AF TtQog FB. 6 Tcjv avtav ovtcov iatcn to ^ Grj^stov iv tfj ig)S^fjg ycovia tijg vito tmv dov^Titdtcov TtSQisxo^evrjg, xal ta loLTta Ta avta yLveOd^o. XsyGi, otL rj aTto tou Z STtl t6 F STtL^svyvv^svrj STcPalXo^svri 6v^7ts6sitaL tfj dvtLXSL^svrj to^ij, xal ij 10 dTto tijg 6v^7ttc30scog STtl tb J scpdjjJstaL trjg dvtL- TcsLiisvrig to^^g. s6tci) yccQ ta avta, xal t6 z/ arj^stov sv tfj scps^ijg yavia, tr\g VTtb tcov ddv^Tttcotcov TtSQLsxo^svrig , xal ijxd-co djtb tov /1 scpaTtto^svrj tijg A to^rjg rj ^E, 15 xal STts^svxd^co rj EZ xal ixpalXo^svr}, st dvvatov, ^rj iQ%s6%^o iitl t6 F, «AA' iitl tb H ^6taL d;, ag i] AH TtQog HB, rj A/J TtQog z/5' OTtsQ dtOTtov vTtoxsLtaL yaQ, cjg rj AA TCQbg ^B, rj AF TtQog FB. 20 Tov avtcjv ovtov s6tc3 tb J 6r}^stov sitC tivog tcov d6v^7ttc6tcov.
CONICORUM LIBER IV. 27 catur z/jE, et ducta ZE^ si fieri potest/ per T ne cadat, sed per H. erit igitur AA : AB — AH: HB [III, 37];^) quod absurdum est; supposuimus enim, esse A^ : z/5 = jri FB. XVI. lisdem positis ^ punctum positum sit in angulo, qui angulo ab asymptotis comprebenso deinceps positus est, et reliqua eadem fiant. dico, rectam a Z ad F ductam productam cum sectione opposita concurrere, et rectam a puncto concursus ad z/ ductam sectionem oppositam contingere. sint enim eadem, et punctum z/ positum sit in angulo, qui angulo ab asymptotis comprehenso deinceps positus est, ducaturque a z/ sectionem A contingens ^E, et ducatur EZ et producta, si fieri potest, ad r ne ueniat, sed ad H erit igitur [III, 39] ^if:HJ5 = ^z/:z/5; quod absurdum est; supposuimus enim, esse Azi: JB = AT-.rB. XVII. lisdem positis punctum A in alterutra asymptotarum sit positum. dico, rectam a Z ad F ductam parallelam esse asymptotae, in qua punctum positum sit. 1) Quae tum quoque ualet, cum utrumque punctum contactus in eadem opposita est positum, quamquam hic casus in figuris codicis non respicitur, ne in iis quidem, quas I p. 403 not. significaui.
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CONICORUM LIBER IV. 27<br />
catur z/jE, et ducta ZE^ si fieri potest/ per T ne<br />
cadat, sed per H. erit igitur AA :<br />
AB — AH: HB<br />
[III, 37];^) quod absurdum est; supposuimus enim,<br />
esse A^ : z/5 = jri FB.<br />
XVI.<br />
lisdem positis ^ punctum positum sit in angulo,<br />
qui angulo ab asymptotis comprebenso deinceps positus<br />
est, et reliqua eadem fiant.<br />
dico, rectam a Z ad F ductam productam <strong>cum</strong><br />
sectione opposita concurrere, et rectam a puncto concursus<br />
ad z/ ductam sectionem oppositam contingere.<br />
sint enim eadem, et punctum z/ positum sit in<br />
angulo, qui angulo ab asymptotis comprehenso deinceps<br />
positus est, ducaturque a z/ sectionem A contingens<br />
^E, et ducatur EZ et producta, si fieri potest,<br />
ad r ne ueniat, sed ad H erit igitur [III, 39]<br />
^if:HJ5 = ^z/:z/5;<br />
quod absurdum est; supposuimus enim, esse<br />
Azi: JB = AT-.rB.<br />
XVII.<br />
lisdem positis punctum A in alterutra asymptotarum<br />
sit positum.<br />
dico, rectam a Z ad F ductam parallelam esse<br />
asymptotae, in qua punctum positum sit.<br />
1) Quae tum quoque ualet, <strong>cum</strong> utrumque punctum contactus<br />
in eadem opposita est positum, quamquam hic casus<br />
in figuris codicis non respicitur, ne in iis quidem, quas I<br />
p. 403 not. significaui.
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