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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[Item 1.]
[2.] APOLLONII PERGÆI CONICORVM LIB. V. VI. VII. & ARCHIMEDIS ASVMPTOR VM LIBER.
[3.] APOLLONII PERGÆI CONICORVM LIB. V. VI. VII. PARAPHRASTE ABALPHATO ASPHAHANENSI
[4.] ADDITVS IN CALCE ARCHIMEDIS ASSVMPTORVM LIBER, EX CODICIBVS ARABICIS M.SS. SERENISSIMI MAGNI DVCIS ETRVRIÆ ABRAHAMVS ECCHELLENSIS MARONITA
[5.] IO: ALFONSVS BORELLVS
[6.] AD SERENISSIMVM COSMVM III. ETRVRIÆ PRINCIPEM FLORENTIÆ, Ex Typographia Ioſephi Cocchini ad inſigne Stellæ MDCLXI. SVPERIORVM PERMISSV.
[7.] COSMVM TERTIVM ETRVRIÆ PRINCIPEM. 10: AL FONSVS BORELLIVS F.
[8.] CAVE CHRISTIANE LECTOR.
[9.] IN NOMINE DEI MISERICORDIS MISERATORIS. PROOE MIVM ABALPHATHI FILII MAHMVDI, FILII ALCASEMI, FILII ALPHADHALI ASPHAHANENSIS. LAVS DEO VTRIVSQVE SECVLI DOMINO.
[10.] ABRAHAMI ECCHELLENSIS IN LATINAM EX ARABICIS Librorum Apollonij Pergæi verſionem PRÆFATIO.
[11.] PRÆFATIO AD LECTOREM.
[12.] INDEX
[13.] APOLLONII PERGAEI CONICORVM LIB. V. DEFINITIONES. I.
[14.] II.
[15.] III.
[16.] IV.
[17.] V.
[18.] VI.
[19.] VII.
[20.] VIII.
[21.] IX.
[22.] X.
[23.] XI.
[24.] XII.
[25.] XIII.
[26.] XIV.
[27.] XV.
[28.] XIV.
[29.] NOTÆ.
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
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page |< < (199) of 458 > >|
237199Conicor. Lib. VI. dem lineæ perpendiculares ſunt ad præ-
269[Figure 269] dictas chordas, ſuntque etiam diametri
ſectionis, ergo I K, L M, N O ſunt axes,
nec ſibi in directum coincidunt;
quia
chordæ primo eductæ inter ſe parallelæ
non erant:
hoc autem eſt abſurdum,
quia in qualibet ſectione reperiri non
poſſunt plures, quàm duo axes (52.
ex
1148. lib. 2.2.)
; ergo fieri non poteſt, vt ſectionis
conicæ portio ſit arcus circuli.
Quod
erat oſtendendum.
Notæ in Propoſit. XX.
QVodlibet duorum ſegmentorum, vt A B C, D E F in duobus ſeg-
22a mentis ſimilibus, vt N A C, P D F abſciſſa ſint ab ordinatis duo-
rum axium ſectionum, vt A C, D F, N L, P M, A M, A S,
K M ad latus ſuarum verticum vt B, E;
ſitque proportio earum abſciſ-
ſarum ad erecta duorum ſegmentorum eadem, nempe I B ad B G, vt K
E ad E H, &
L B ad B G, vt M E ad E H: vtique duo ſegmenta A B
C, D E F, N B, P E ſimilia ſunt, &
ſimilia poſitione: & c. Textus hic
270[Figure 270] adeo corruptus eſt, vt ne Apollonius quidem, ſi reuiuiſceret, ſenſum ex verbis
tam inconcinnis, &
non coherentibus elicere poſſet. Itaque diuinando eam eſſe
veram lectionem cenſeo;
quàm in textu appoſui.

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