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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[191.] PROPOSITIO XII.
[192.] PROPOSITIO XIII.
[193.] PROPOSITIO XIV.
[194.] MONITVM.
[195.] LEMMA II.
[196.] COROLLARIVM.
[197.] LEMMA III.
[198.] LEMMA IV.
[199.] COROLLARIVM.
[200.] LEMMAV.
[201.] COROLLARIVM I.
[202.] COROLLARIVM II.
[203.] Notæ in Propoſit. XI.
[204.] Notæ in Propoſit. XII.
[205.] Notæ in Propoſit. XIII.
[206.] Notæ in Propoſit. XIV.
[207.] SECTIO QVINTA Continens ſex Propoſitiones Præmiſſas, PROPOSITIO I. II. III. IV. & V.
[208.] PROPOSITIO Præmiſſa VI.
[209.] Notæ in Propoſit. Præmiſſas I. II. III. IV. & V.
[210.] Notæ in Propoſit. Præmiſſ. VI.
[211.] SECTIO SEXTA Continens Propoſit. XV. XVI. & XVII. PROPOSITIO XV.
[212.] PROPOSITIO XVI.
[213.] PROPOSITIO XVII.
[214.] Notæ in Propoſit. XV.
[215.] MONITVM.
[216.] LEMMA VI.
[217.] LEMMA VII.
[218.] LEMMA VIII.
[219.] Notæ in Propoſit. XVI.
[220.] Notæ in Propoſit. XVII.
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page |< < (281) of 458 > >|
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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