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

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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392353Conicor. Lib. VII. minorem proportionem habebit, quàm rectangulum E H A ad duo quadrata
ex G E, & ex E H, ſen quàm quadratum A C ad duo quadrata ex I L, &
1117. huíus. ex I K: igitur duo quadrata ex P Q, & ex\P R maiora ſunt duobus quadra-
tis ex I L, & ex I K, quod erat oſtendendum.

Notæ in Propoſit. XXXXI.

IN ellypſi, cuius axis maior A C, quia rectangulum A H E ad quadratum
H G eſt, vt quadratum A C ad quadratum ex L I K, vel ad quadratum
22Prop. 16.
huius. ex C A F, atq; quadratum ex G H ad rectangulum A H M eandem proportio-

463[Figure 463] nem habet, quàm quadratum ex Q P R ad quadratum A C, igitur ex æquali
perturbata rectangulum A H E maius ad minus rectangulum A H M eandem
proportionem habet, quàm quadratum ex Q P R ad quadratum ex L I K, vel
ad quadratum ex C A F: eſtque rectangulum A H E maius rectangulo A H
M, ergo quadratũ ex ſumma Q P R maius eſt quadrato ex ſumma L I K, &
propterea linearũ sũma Q P R maior erit, quàm sũma L I K, vel quàm

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