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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[311.] PROPOSITIO XXXIX.
[312.] PROPOSITIO XXXX.
[313.] In Sectionem VII. Propoſit: XXXVIII. XXXIX. & XXXX. LEMMA VI.
[314.] LEMMA VII.
[315.] LEMMA VIII.
[316.] LEMMA IX.
[317.] Notæ in Propoſit. XXXVIII. XXXIX.
[318.] Notæ in Propoſit. XXXX.
[319.] SECTIO OCTAVA Continens Propoſit. XXXXIIII. XXXXV. & XXXXVI.
[320.] PROPOSITIO XXXXVI.
[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
[322.] LEMM A XI.
[323.] LEMM A XII.
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
[325.] Notæ in Propoſit. XXXXVI.
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
[327.] PROPOSITIO XXXXI.
[328.] PROPOSITIO XXXXVII.
[329.] PROPOSITIO XXXXVIII.
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
[331.] LEMMA XIV.
[332.] LEMMA XV.
[333.] Notæ in Propoſit. XXXXI.
[334.] Notæ in Propoſit. XXXXVII.
[335.] Notæ in Propoſit. XXXXVIII.
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
[338.] LEMMA XVII.
[339.] LEMMA XVIII.
[340.] Notæ in Propoſit. XXXXIX.
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319281Conicor. Lib. VII. conſtructio, quæ deficit in hac propoſitione, vt nimirum ſenſus continuatus ſit
à punctis M, A, I educatur ad axim perpẽdiculares M R, A Q, &
I S ſecãtes
diametros in R, Q, &
S, & A Q, I M ſe mutuò ſecent in K, erit I S
ordinatim ad axim applicata, &
A Q, ſicuti etiam I M contingit ſectionem.
vocat autem Interpres rectam lineam M S, quæ inter tangentem, & ordinatam
interijcitur Contentam, atque D S vocat Inuerſam.
Notæ in Propoſit. VI. & VII.
SI addatur duabus extremitatibus tranſuerſæ, aut inſiſtant ad duas ex-
11a tremitates recti, aut diminuatur à duabus extremitatibus inclinati A,
370[Figure 370]&
C duo intercepta, & c. Expungo verba appoſititia. Aut inſiſtat ad duas
extremitates recti;
quæ ſenſum perturbant.
Educamus I M tangentem, & I S perpendicularem. Et quia A D eſt
22b æqualis D C, &
c. Ideſt Educamus I M contingentem ſectionem in I, quæ
371[Figure 371]

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