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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[231.] Notæ in Propoſit. XXIII.
[232.] Notæ in Propoſit. XXIV.
[233.] SECTIO NONA Continens Propoſit. XXV.
[234.] Notæ in Propoſit. XXV.
[235.] LEMMA IX.
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
[237.] PROPOSITIO XXVII.
[238.] PROPOSITIO XXVIII.
[239.] Notæ in Propoſit. XXVI.
[240.] Notæ in Propoſit. XXVII.
[241.] Notæ in Propoſit. XXVIII.
[242.] LEMMAX.
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
[244.] PROPOSITIO XXX.
[245.] PROPOSITIO XXXI.
[246.] Notæ in Propoſit. XXIX.
[247.] Notæ in Propoſit. XXX.
[248.] Notæ in Propoſit. XXXI.
[249.] LIBRI SEXTI FINIS.
[250.] DEFINITIONES. I.
[251.] II.
[252.] III.
[253.] IV.
[255.] VI.
[256.] VII.
[257.] VIII.
[258.] NOTÆ.
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
[260.] PROPOSITIO V. & XXIII.
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page |< < (167) of 458 > >|
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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