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

Table of contents

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[351.] Notæ in Propoſit. I.
Page: 425 (386)
[352.] PROPOSITIO II.
Page: 426 (387)
[353.] SCHOLIVM ALMOCHTASSO.
Page: 427 (388)
[354.] Notæ in Propoſ. II.
Page: 427 (388)
[355.] PROPOSITIO III.
Page: 428 (389)
[356.] Notæ in Propoſit. III.
Page: 428 (389)
[357.] PROPOSITIO IV.
Page: 429 (390)
[358.] Notæ in Propoſit. IV.
Page: 430 (391)
[359.] PROPOSITIO V.
Page: 430 (391)
[360.] SCHOLIVM ALMOCHTASSO.
Page: 431 (392)
[361.] SCHOLIVM PRIMVM ALKAVHI.
Page: 432 (393)
[362.] SCHOLIVM SECVNDVM ALKAVHI.
Page: 433 (394)
[363.] Notæ in Propoſit. V.
Page: 434 (395)
[364.] PROPOSITIO VI.
Page: 435 (396)
[365.] Notæ in Propoſit. VI.
Page: 436 (397)
[366.] PROPOSITIO VII.
Page: 437 (398)
[367.] SCHOLIVM ALMOCHTASSO.
Page: 438 (399)
[368.] PROPOSITIO VIII.
Page: 438 (399)
[369.] SCHOLIVM ALMOCHTASSO.
Page: 439 (400)
[370.] Notæ in Propoſit. VIII.
Page: 439 (400)
[371.] PROPOSITIO IX.
Page: 440 (401)
[372.] PROPOSITIO X.
Page: 440 (401)
[373.] PROPOSITIO XI.
Page: 441 (402)
[374.] SCHOLIVM ALMOCHTASSO.
Page: 442 (403)
[375.] PROPOSITIO XII.
Page: 442 (403)
[376.] SCHOLIVM ALMOCHTASSO.
Page: 443 (404)
[377.] Notæ in Propoſit. XII.
Page: 444 (405)
[378.] PROPOSITIO XIII.
Page: 444 (405)
[379.] PROPOSITIO XIV.
Page: 445 (406)
[380.] PROPOSITIO XV.
Page: 446 (407)
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381342Apollonij Pergæi
XXXXVII. Si verò duplum quadrati A C maius non fuerit
quadrato ex ſumma duorum laterum ſuæ figuræ; vtique quadra-
tum diametri ſuæ figuræ minus erit quadrato diametri figuræ cu-
iuſlibet alterius diametri eiuſdem ſectionis, & quadratum dia-
metri figuræ proximioris axi minus erit quadrato diametri figu-
ræ remotioris.
XXXXVIII. Si autem duplum quadrati axis tranſuerſi maius
fuerit quadrato ex ſumma duorum laterum ſuæ figuræ, æquidem
reperientur ad vtraſque eius partes duæ diametri æquales, & cu-
451[Figure 451] iuslibet earum quadratum bis ſumptum æquale erit quadrato ex
ſumma duorum laterum ſuæ figuræ; & quadratum diametri ſuæ
figuræ minus eſt quadrato diametri figuræ alterius cuiuſcunque
diametri exiſtentis in eodem quadrante eiuſdem ſectionis; &
diameter figuræ proximioris minor eſt diametro figuræ remo-
tioris.

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