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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11274Apollonij Pergæi
SECTIO DECIMATERTIA
Continens Propoſ. LXIV. LXV. LXVI.
LXVII. & LXXII. Apollonij.
PROPOSITIO LXIV. LXV.
S I ramorum ſecantium D C, D B, D A eductorum ex con-
curſu D ad fectionem C A non fuerint duo breuiſecantes,
vtique minimus eorum eſt, ramus terminatus D A, qui ambit
cum axe A E angulum acutum;
nempe D A E, & reliquorum
propinquior illi minor eſt remotiore, ſcilicet D B maior, eſt
quàm D A, &
D C quàm D B.
Si vero inter illos fuerint duo breuiſecantes tunc vicinior
vertici ſectionis eſt maximus ramorum, &
maiori proximior,
eſt maior, &
minori propinquior eſt minor.
94[Figure 94]
Producamus perpendicularem D E ſuper axim E A, & reperiatur Tru-
11a tina F.
Et primo loco nullus ramus ſit breuiſecans, iam ſi D B, non eſt
maior, quàm D A, ſit æqualis illi, &
ducamus duas

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