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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[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)
[381.] Notæ in Propoſit. XV.
Page: 447 (408)
[382.] PROPOSITIO XVI.
Page: 449 (410)
[383.] PROPOSITIO XVII.
Page: 450 (411)
[384.] FINIS.
Page: 452 (413)
[385.] Illuſtriſſime, ac Reuerendiſs, Dom.
Page: 453 (414)
[386.] Reuerendiſs. Pater Domine.
Page: 453 (414)
[387.] REGISTRVM.
Page: 453 (414)
[388.] Errata in figuris.
Page: 454 (415)
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page |< < (358) of 458 > >|
397358Apollonij Pergæi
SECTIO DECIMA
Continens Propoſit. XXXXIX. XXXXX.
& XXXXXI.
XXXXXI. IN hyperbola, & ellipſi, ſi axis tranſuerſus minor
fuerit ſuo erecto, differentia quadratorum duorum
11a laterum figuræ axis eius maior eſt, quàm differentia quadrato-
rum laterum figuræ cuiuslibet alterius diametri ei homologæ. Et
differentia quadratorum laterum figure homologæ proximioris
axi ſemper maior eſt in hyperbola, quàm differentia quadratorum
laterum figuræ remotioris: at in ellypſi quouſque diameter tran-
ſuerſa æqualis non fiat ſuo erecto.
XXXXX. Et in hyperbola differentia quadrati axis inclinati
ab eius figura minor erit ſemidifferentia quadratorum duorum
laterum figuræ ſui homologi.
467[Figure 467]
XXXXIX. Si verò in hyperbole axis inclinatus maior fuerit
ſuo erecto, vtique differentia quadratorum duorum laterum fi-
guræ axis minor erit differentia quadratorum laterum figuræ

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