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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407368Apollonij Pergæi C E, & C M, termini E, & M cadent inter D, & A, & M cadat inter
E & D, propterea M H ad M D maiorem proportionem habebit, quàm H E

480[Figure 480] ad E D, igitur differentia quadratorum laterum figuræ P Q minor erit diffe-
11Lem. 17.
huius. rentia quadratorum laterum figuræ I L, vel figuræ A C.

In ellypſi reperire diametrum,

481[Figure 481]22PROP. 9.
Addit. cuius differentia quadratorum la-
terum figuræ eius æqualis ſit diffe-
rentiæ quadratorum laterum figuræ
axis maioris A C.

Secetur H D in e, vt H e ad e D
eandem proportionem babeat, quàm
H A ad A D, & ex puncto e educa-
tur ad axim perpendicularis e h occur-
rens ſectioni in h, & coniungatur a
h, quàm bifariam ſecet diameter f d,
cuius erectus d g: dico diametrum,
f d eße quæſitam. Quia H e ad e D
eandem proportionem habet, quàm H
A ad A D, ergo differentia quadrato-
33Lem. 17.
huius. rum ex f d, & ex d g æqualis eſt dif-
ferentiæ quadratorum ex A C, & ex
A F, quod erat propoſitum.

In ellypſi reperire diametrum,
44PROP.
10.
Addit. cuius differentia quadratorum late-
rum eius figuræ æqualis ſit diffe-
rentiæ quadratorum laterum

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