Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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383344Apollonij Pergæi tum A C ad quadratum Q R maiorem proportionem quàm ad quadratũ
T Z.
Et pariter oſtendetur, quod quadratum A C ad quadratum T Z
maiorem proportionem habet, quàm ad quadratum y f;
quapropter C F
minor eſt quàm Q R, &
Q R minor, quàm T Z, & T Z minor, quàm
y f.
Quod erat oſtendendum.
PROPOSITIO XXXXVII.
IN eadem figura ſi duplum quadrati A C maius non fuerit
quadrato ſummæ C F.
Dico, quod diameter figuræ eius
minor eſt diametro figuræ Q P R, &
diameter figuræ Q P R
minor eſt diametro figuræ T S Z.
453[Figure 453]
Quoniam duplum quadrati A C non excedit quadratum ſummæ C A
F;
ergo duplum quadrati C G, nempe G C in A H bis ſumptum non,
excedit quadratum H G, &
propterea C G in H M bis ſumptum minus
eſt quadrato H G:
tollatur communiter duplum M G in H M

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