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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[171.] PROPOSITIO IV.
Page: 179 (141)
[172.] PROPOSITIO X.
Page: 179 (141)
[173.] Notæ in Propoſit. I.
Page: 179 (141)
[174.] Notæ in Propoſit. II.
Page: 180 (142)
[175.] Notæ in Propoſit. IV.
Page: 182 (144)
[176.] Notæ in Propoſit. X.
Page: 182 (144)
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
Page: 184 (146)
[178.] PROPOSITIO VI.
Page: 185 (147)
[179.] PROPOSITIO VII.
Page: 185 (147)
[180.] PROPOSITIO IX.
Page: 186 (148)
[181.] Notæ in Propoſit. III.
Page: 187 (149)
[182.] Notæ in Propoſit. VI.
Page: 187 (149)
[183.] Notæ in Propoſit. VII.
Page: 187 (149)
[184.] Notæ in Propoſit. IX.
Page: 188 (150)
[185.] LEMMAI.
Page: 188 (150)
[186.] SECTIO TERTIA Continens Propoſit. V. & VIII. PROPOSITIO V.
Page: 190 (152)
[187.] PROPOSITIO VIII.
Page: 191 (153)
[188.] Notæ in Propoſit. V.
Page: 192 (154)
[189.] Notæ in Propoſit. VIII.
Page: 192 (154)
[190.] SECTIO QVARTA Continens Propoſit. XI. XII. XIII. & XIV. PROPOSITIO XI.
Page: 192 (154)
[191.] PROPOSITIO XII.
Page: 193 (155)
[192.] PROPOSITIO XIII.
Page: 194 (156)
[193.] PROPOSITIO XIV.
Page: 195 (157)
[194.] MONITVM.
Page: 196 (158)
[195.] LEMMA II.
Page: 196 (158)
[196.] COROLLARIVM.
Page: 197 (159)
[197.] LEMMA III.
Page: 197 (159)
[198.] LEMMA IV.
Page: 198 (160)
[199.] COROLLARIVM.
Page: 198 (160)
[200.] LEMMAV.
Page: 199 (161)
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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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