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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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-
33b

225[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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