## Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

GEOMETRIÆ guræ, ABC, productis ſi opus ſit, idem intellige in recta, EM, cuius
omnia puncta dicuntur eiuſdem obliqui tranſitus, eius nempè, qui
in tali inclinatione fit.

### 170.1.

Pro intelligentia Defin. _8._ ſupponatur in figura plana propoſita,
ABC, vtcunque recta, BC, quæ deſcribat figuram planam, BC,
eleuatam ſuper, ABC, ſin-
gulæ autem lineæ, quæ di-
cuntur omnes lineæ figuræ,
ABC, ſumptæ regula, B
C, recti tranſitus, ſi figu-
ra, BC, ſit erecta figuræ,
ABC, veleiuſdem obliqui
tranſitus (qui nempè in in-
clinatione deſcriptæ figuræ
ad planum, ABC, fit, ſi figura, BC, ſit inclinata ad figuram, AB
C,) deſcribere intelligantur figuras planas ſimiles ſimiliter poſitas,
& æquidiſtantes ipſi figuræ, BC, ita vt deſcribentes ſint deſcripta-
rum figurarum lineæ, vel later a bomologa, quarum figurarum ali-
quæ ſint ipſæ, BC, PF, LH, iſtæ igitur omnes ſimul ſumptæ vocan-
tur, omnes figuræ ſimiles ipſius figuræ, ABC, ſumptæ regula figura,
BC, vellinea, aut latere, BC.

### 170.1.

_D. Defin._
_10. lib.1._
_A. Def. 8._
_huius._

Solidum, cuius omnes dictæ figuræ ſimiles ipſius, ABC, ſunt
omnia plana, dicitur, ſolidum ſimilare genitum ex figura plana, A
BC, iuxta regulam ipſam figuram, vel lineam, BC, & ipſa figu-
ra, ABC, appellatur genitrix eiuſdem ſolidi, quod eſſe intelliga-
tur ipſum, ABC.

### 170.1.

_B. Def. 8._
_huius._

Si verò adſit alia figura plana, cuius omnes lineæ, quædam re-
gula ſumptæ, deſcribant ſimiles figuras planas, & ſimiliter poſitas,
omnes vni cuidam æquidiſtantes, & ſimiles figuræ, BC, & æquè
eleuatas ſuper plana genitricium figur arum, ſolida ſimilaria genita
ex iſtis figuris, iuxta dictas regulas vocabuntur vlterius inter ſe,
vel ad inuicem ſimilaria, licet cum dicemus, ſolida ſimilaria geni-
ta ex talibus, & talibus figuris, & hoc etiam ſine alio addito, in-
telligemus ſemper ea eſſe inter ſe, vel ad inuicem ſimilaria, etiam
ſinon exprimatur, hoc autem niſi aliter explicetur.

### 170.1.

_C. Def. 8._
_huius._

Pro declarandis D. & E. Defin. _8._ exponantur duæ figuræ in eo-

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