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

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

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312 COMMENTARIA ANTIQUA. TtQog t6 tQLtov, t6 dsvrsQov JtQog xo xixaQXov^ i'6ov eaxau xo ^sv TtQcoxov tw XQtxa, xo 8e dsvxsQOv t» rsxccQXG), dvvaxbv yccQ iTcl aXXcov xovxo dstx^rjvac dca x6 8s8si%^ai sv tc5 ks' d^scjQ^^^axi xov s' ^i^kCov 5 xYig EvTclsidov 0xoL%si(60sc3g' sav d iisysQ^Yi avdXoyov ri^ xo 7tQ(DX0v Tcal xb xsxaQxov dvo xcav XoltcSv ^si^ova k'6xai. 1. TQiTOV^ y p, dno y W. dsvtSQOv'^ § Wp. rixaQ- Tov] S p. 2. rd] p, Tc5 W. nQoarovl a Wp. T^trco] y Wp. SsvTSQOv] § Wp. 3. TfTa^Tcu] da Wp, corr. Comm, yap] ds Halley. 6. nQatov^ cc p. rsra^TOv] d p. (jisi- ^ovct] fiSL^oov W, (ist^ov p, corr. Halley.

EUTOCII COMMENTARIA IN CONICA. 313 ad quartam, erit prima tertiae aequalis, secunda autem quartae. nam fieri potest, ut lioc in aliis^) demonstretur, propterea quod in prop. XXY quinti libri Elementorum Euclidis demonstratum est hoc: si quattuor magnitudines proportionales sunt, prima et quarta duabus reliquis maiores erunt. 1) Significare uoluisse uidetur, in proportione arithmetica rem aliter se habere atque in geometrica. sed totus locus uix sanus est.

312 COMMENTARIA ANTIQUA.<br />

TtQog t6 tQLtov, t6 dsvrsQov JtQog xo xixaQXov^ i'6ov<br />

eaxau xo ^sv TtQcoxov tw XQtxa, xo 8e dsvxsQOv t»<br />

rsxccQXG), dvvaxbv yccQ iTcl aXXcov xovxo dstx^rjvac<br />

dca x6 8s8si%^ai sv tc5 ks' d^scjQ^^^axi xov s' ^i^kCov<br />

5 xYig EvTclsidov 0xoL%si(60sc3g' sav d iisysQ^Yi avdXoyov<br />

ri^ xo 7tQ(DX0v Tcal xb xsxaQxov dvo xcav XoltcSv ^si^ova<br />

k'6xai.<br />

1. TQiTOV^ y p, dno y W. dsvtSQOv'^ § Wp. rixaQ-<br />

Tov] S p. 2. rd] p, Tc5 W. nQoarovl a Wp. T^trco]<br />

y Wp. SsvTSQOv] § Wp. 3. TfTa^Tcu] da Wp, corr. Comm,<br />

yap] ds Halley. 6. nQatov^ cc p. rsra^TOv] d p. (jisi-<br />

^ovct] fiSL^oov W, (ist^ov p, corr. Halley.

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