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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12688Apollonij Pergæi

SECTIO DECIMAQVARTA

Continens Propoſ. LXXIII. LXXIV. LXXV.
LXXVI. & LXXVII.

PROPOSITIO LXXIII.

SI ex concurſu E non exiſtente ſuper rectum minorem elli-
11a pſis A B C ducatur ad ſectionem A B vnicus ramus vtrum-
que axim ſecans, cuius portio G I inter ſectionem, & axim
maiorem A C ſit breuiſſima, vel duo breuiſecantes; vtique ra-
morum ſecantium ex illo concurſu egredientium maximus erit
breuiſecans, qui ſectionis rectum ſecat, nempe E G, & illi
proximior maior eſt remotiore; minimus verò eorum eſt, qui
terminatur à vertice ſectionis proximiori concurſui, nempe E
C, & illi propinquiores minores ſunt remotioribus, nempe in-
ter C G. Si autem egrediantur ex illo tres breuiſecantes, &
duo illorum ſecuerint menſuram, & vnus ſecuerit rectum, vtique
qui rectum ſecat eſt maximus ramorum ſecantium: & ramorum
inter mediam breuiſecantem, & remotiorem verticem ſectionis
à concurſu cadentium, proximior illi, eſt maior remotiore, &
maximus duorum reliquorum breuiſecantium eſt ille, qui vertici
proximus eſt, & ramorum, inter proximiorem verticem ſectio-
nis, & intermedium breuiſecantem cadentium, vicinior illi, ma-
ior eſt remotiore.

109[Figure 109]

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