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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[171.] PROPOSITIO IV.
[172.] PROPOSITIO X.
[173.] Notæ in Propoſit. I.
[174.] Notæ in Propoſit. II.
[175.] Notæ in Propoſit. IV.
[176.] Notæ in Propoſit. X.
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
[178.] PROPOSITIO VI.
[179.] PROPOSITIO VII.
[180.] PROPOSITIO IX.
[181.] Notæ in Propoſit. III.
[182.] Notæ in Propoſit. VI.
[183.] Notæ in Propoſit. VII.
[184.] Notæ in Propoſit. IX.
[185.] LEMMAI.
[186.] SECTIO TERTIA Continens Propoſit. V. & VIII. PROPOSITIO V.
[187.] PROPOSITIO VIII.
[188.] Notæ in Propoſit. V.
[189.] Notæ in Propoſit. VIII.
[190.] SECTIO QVARTA Continens Propoſit. XI. XII. XIII. & XIV. PROPOSITIO XI.
[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.
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205167Conicor. Lib. VI.223[Figure 223] B C a, pariterque latus re
224[Figure 224] ctum I F ad tranſuer ſum F
1121. lib. 1. b eſt vt quadratum E H ad
rectangulum F H b, igitur
D B ad B a eandem propor-
tionem habebit quàm I F ad
F b, &
ideo figuræ axium
ſimiles erunt.
Notæ in Propoſit. XIII.
SInt axes earum B C, & inclinatus, ſeu tranſuerſus B a, & c. Addidi
22a verba, quæ in expoſitione propoſitionis deficiunt.
Hyperbole, ſeu ellipſis A
B ſit axis B C, &
inclinatus, ſeu tranſuerſus B a, & E F ſit parabole, cuius
axis F H, &
c.
Alioquin ſit (ſi poſſi-
33b225[Figure 225] bile eſt) ſimilis vni ea-
rum, &
minima ſimilis
earum figuræ, quæ non
ſunt ſimiles ſuis figuris:
deinde poſſumus produ-
cere in ſingulis ſectioni-
bus potentes, &
c. Non
nulla verba ex hoc textu
expunxi vt ſuperuacanea
eiuſq;
ſenſus hic eſt. Sie-
nim par abolæ E F ſimilis
eſt hyperbolæ, aut ellipſi A
B (ex definitione ſimilium
44Defin. 2. figurarum) duci poßunt
in vnaquaque duarum ſi-
milium ſectionum

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