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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309271APOLLONII PERGAEI CONICORVM LIB. VII.
DEFINITIONES.
I.
SI diuidatur inclinatum ſecundum proportionem
figuræ, aut addatur vni axium ellipſis linea,
earumque differentia, aut aggregatum ad ean-
dem lineam habeat eandem proportionem fi-
guræ:
vocabo homologam inclinati PRÆSE-
CTAM.
II.
Et homologam erecti INTERCEPTAM.
III.
Atque punctum, quod eſt extremum ipſius interceptæ, & dia-
metri:
vocabo TERMINVM COMMVNEM.
IV.
Reliquum verò TERMINVM DIVIDENTEM.
V.
Et differentiam, vel ſummam lateris, & interceptæ: vocabo IN-
TERCEPTAM COMPARATAM.
VI.
Differentiam verò, aut ſummam lateris, & præſectę: vocabo
PRÆSECTAM COMPARATAM:
hoc autem latus refer-
tur ad diametrum, quæ bifariam diuidit lineam coniungen-
tem verticem ſectionis, &
terminum potentis huius lateris:

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