Full text: Viviani, Vincenzio: De maximis et minimis, geometrica divinatio

per M applicetur recta N M O, quæ applicatæ E G F æquidiſtabit.

276.1.

5. ſecun-
di conic.
10. primi
conic.

Iam, in prima figura, cum ſit B D parallela ad I M, & B I ad D M, erit
diametri ſegmentum B D æquale diametri ſegmento I M; ſuntque ex D, M
applicatæ diametris rectæ A D C, N M O, vnde portiones A B C, N I O
æquales erunt.

40. h.
0239-01

In reliquis verò, cum in triangulo D H M ſit B I parallela ad D M, erit
H B ad B D, vt H I ad I M, ſuntque ex D, M applicatæ diametris rectæ
A D C, N M O, quare portiones A B C, N I O æquales erunt. Cum er- go in ſingulis figuris portio A B C demonſtrata ſit æqualis portioni N I O,
& ſit portio N I O minor portione E I F, pars toto, ergo portio A B C erit
quoque minor portione E I F, & ſic quacunque alia portione, ab applicata
per D abſciſſa, minor demonſtrabitur. Vnde portio A B C eſt _MINIMA_
quæſita. Quod faciendum erat.

276.1.

ibidem.

277. COROLL.

HInc eſt, quod dum per datum punctum D intra Ellipſim, ducitur appli-
cata A D C _MINIMAM_ portionem abſcindes, habetur ſimul _MA_-
_XIMA_ portio, quæ eſt reliqua A P C, vt per ſe ſatis conſtat.

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