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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[201.] COROLLARIVM I.
Page: 199 (161)
[202.] COROLLARIVM II.
Page: 199 (161)
[203.] Notæ in Propoſit. XI.
Page: 203 (165)
[204.] Notæ in Propoſit. XII.
Page: 204 (166)
[205.] Notæ in Propoſit. XIII.
Page: 205 (167)
[206.] Notæ in Propoſit. XIV.
Page: 206 (168)
[207.] SECTIO QVINTA Continens ſex Propoſitiones Præmiſſas, PROPOSITIO I. II. III. IV. & V.
Page: 206 (168)
[208.] PROPOSITIO Præmiſſa VI.
Page: 209 (171)
[209.] Notæ in Propoſit. Præmiſſas I. II. III. IV. & V.
Page: 209 (171)
[210.] Notæ in Propoſit. Præmiſſ. VI.
Page: 212 (174)
[211.] SECTIO SEXTA Continens Propoſit. XV. XVI. & XVII. PROPOSITIO XV.
Page: 213 (175)
[212.] PROPOSITIO XVI.
Page: 215 (177)
[213.] PROPOSITIO XVII.
Page: 216 (178)
[214.] Notæ in Propoſit. XV.
Page: 219 (181)
[215.] MONITVM.
Page: 221 (183)
[216.] LEMMA VI.
Page: 221 (183)
[217.] LEMMA VII.
Page: 222 (184)
[218.] LEMMA VIII.
Page: 224 (186)
[219.] Notæ in Propoſit. XVI.
Page: 225 (187)
[220.] Notæ in Propoſit. XVII.
Page: 226 (188)
[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
Page: 229 (191)
[222.] Notæ in Propoſit. XVIII. & XIX.
Page: 230 (192)
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
Page: 231 (193)
[224.] PROPOSITIO XXI.
Page: 233 (195)
[225.] PROPOSITIO XXII.
Page: 235 (197)
[226.] PROPOSITIO XXIII.
Page: 236 (198)
[227.] PROPOSITIO XXIV.
Page: 236 (198)
[228.] Notæ in Propoſit. XX.
Page: 237 (199)
[229.] Notæ in Propoſit. XXI.
Page: 241 (203)
[230.] Notæ in Propoſit. XXII.
Page: 243 (205)
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402Apollonij Pergæi
IX.
In quolibet rectangulo applicato ad ſegmentum axis, ſi illud
ſegmentum ad latitudinem illius rectanguli eandem proportio-
nem habuerit, quam axis ad latitudinem figurę comparatæ vocabo
illud, EXEMPLAR.
X.
Si ex puncto ſuper axim educatur perpendicularis ad vtraſque
partes ſectionis, & ex puncto aliquo illius perpendicularis educan-
tur lineæ terminatæ ad ſectionem ex vtraque parte, vocabo pun-
ctum illud in perpendiculari ſumptum, CONCVRSVM.
XI.
Et lineas etiam, RAMOS.
XII.
Et qui ſecant menſuram, & terminantur ad ſectionem ex altera
parte concurſus, RAMOS SECANTES.
XIII.
At qui non ſecat illam, & tranſit per concurſum, & terminatur
ad axim, & ſectionem ſimul, RAMVM TERMINATVM.
XIV.
Sed cuiuſcumque rami ſecantis, cuius portio interſectionem, &
axim intercepta eſt linea breuiſſima, vocabo illum, BREVISE-
CANTEM.
XV.
Et vocabo ſegmentum axis inter perpendicularem, & verticem
ſectionis proximior em interceptum, MENSVRAM, quoque.
XIV.
Et portionem ſectionis conicæ diſſectam ab ordinatione axis
tranſeuntis per originem, ſiuè per coneurſum propè verticem pro-
ximiorem ſectionis, vocabo, SEGMENTVM illius puncti.

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