Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
286 COMMENTARIA ANTIQUA. X%' Ttsgl tcjv hcpccTtto^evov xal tc5v ano t^g acp^g xatrjy^Evcov tijg sXXsLtl^Eog xal trjg VTtSQPoXrjg, sv rc5 Xri' TCSQi tcov scpaTtto^ivov trjg VTtSQ^olrjg xal trjg sXXsCxpsog^ oitG)g s%ov
EUTOCn COMMENTARIA IN CONICA. 287 contingentibus loquitur, in prop. XXXVII de contingentibus et de rectis, quae a puncto contactus in ellipsi hyperbolaque ordinate ducuntur, in prop. XXXVIII de rectis hyperbolam ellipsimque contingentibus, quo modo ad alteram diametrum se habeant^ in propp. XXXIX et XL de iisdem loquitur rationes ex iis compositas quaerens, in prop. XLI de parallelogrammis in recta ordinate ducta radioque hyperbolae ellipsisque descriptis, in prop. XLII in parabola dicit triangulum a contingenti et recta ordinate ducta comprehensum aequalem esse parallelogrammo, quod eandem altitudinem habeat, basim autem dimidiam, in prop. XLIII in hyperbola ellipsique quaerit, quo modo trianguli a contingentibus rectisque ordinate ductis abscisi inter se habeant, in prop. XLIV idem in oppositis, in prop. XLV idem in altera diametro hyperbolae ellipsisque, in prop. XLVI de ceteris diametris parabolae praeter principalem, in prop. XLVII de ceteris diametris hyperbolae ellipsisque, in prop. XLVIII de ceteris diametris oppositarum, in prop. XLIX de parametris ceterarum diametrorum parabolae, in prop. L de eodem in hyperbola ellipsique, in prop. LI de eodem in oppositis. his dictis et epilogo quodam dictis adiecto [I p. 158] in propp. LII et LIII problema demonstrat, quo modo fieri possit, ut in plano parabola describatur, in propp. LIV 19. ccQXiynqv'] p, ccqxt^v W. 21. rcov (alt.)] Halley, om. p et extr. lin. W.
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286 COMMENTARIA ANTIQUA.<br />
X%' Ttsgl tcjv hcpccTtto^evov xal tc5v ano t^g acp^g<br />
xatrjy^Evcov tijg sXXsLtl^Eog xal trjg VTtSQPoXrjg, sv rc5<br />
Xri' TCSQi tcov scpaTtto^ivov trjg VTtSQ^olrjg xal trjg<br />
sXXsCxpsog^ oitG)g s%ov