Cavalieri, Buonaventura - Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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120100GEOMETRIÆ

COROLLARIVM.

_H_ Inc patet, quoniam oppoſitæ tangentes regula quacunque in data
11_Corol. 1._
_lib. 1._ figura duci poſſunt, etiam omnes lineas datæ figuræ regula qua-
cunq; recta linea propoſita haberi poſſe, tum recti, tum etiam eiuſdem
obliquitranſitus.

II.

SI, propoſito quocunq; ſolido, eiuſdem oppoſita plana tan-
22Corol. 1.
lib. 1. gentia regula quacunque ducta fuerint, hinc inde inde-
finitè producta, quorum alterum verſus reliquum moueatur
ſemper eidem ęquidiſtans, donec illi congruerit; ſingula pla-
33Poſt Se-
cund. l. 1. na, quę in toto motu concipiuntur in propoſito ſolido, ſimul
collecta, vocentur: Omnia plana propoſiti ſolidi, ſumpta, re-
44E. Defin.
Sec. lib. 1. gula eorundem vno.

COROLLARIVM.

_H_ Inc etiam diſcimus, veluti propoſiti ſolidi oppoſita tangentia pla-
na quacunque regula duci poſſunt, ita eiuſdem omnia plana re-
gula quocunq; plano haberi poſſe.

III.

SI oppoſitis tangentibus planis occurrant interius duæ re-
55Corol. 1.
lib. 1. ctę lineę, vna perpendiculariter, reliqua obliquè pun-
cta, quę ſunt comm unes ſectiones propoſitæ lineæ perpendi-
culariter incidentis, & ſingulorum planorum, quæ collecta
dicuntur, omnia plana (ita tamen producta, vt eaſdem ſecare
poſſint) ſiue puncta, quę ſunt communes ſectiones eiuſdem,
& moti plani, fiuntq; in toto motu, ſimul collecta vocentur:
Omnia puncta recti tranſitus propoſitæ lineæ perpendicula-
riter incidentis; quę in obliquè incidente vocentur, eiuſdem
obliqui tranſitus.

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