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

PArallelogrammum dicetur expoſitę cuicumque planę
figuræ circumſcriptum, ſi eius ſingula latera tangant
dictam figuram, quæ illi pariter dicetur inſcripta.

XV.

PArallelepipedum dicetur expoſito ſolido circumſcri-
prum, ſi eius ſingula plana tangant dictum ſolidum,
quod illi pariter dicetur inſcriptum.

POSTVLATA

QVamlibet rectam lineam indefinitè ita poſſe moueri,
vt ſemper vni cuidam fixæ ſit parallela, ſiue in eo-
dem, ſiue in plutibus planis, in tali motu exiſtat.

II.

QVodlibet planum indefinitè ita poſſe moueri, vt fem-
per vni cuidam fixo ſit æquidiſtans.

PROBLEMA I. PROPOS. 1.

CViuslibet propoſitæ figuræ planæ, vel ſolidæ, verti-
cem inuenire, reſpectu datæ, pro figura plana rectæ
lineæ pro ſolida verò, reſpectu dati plani.

Sit ſigura plana quæcumque, ABC, & in ea ducta recta linea,
BC, oportet reſpectu ipſius, BC, verticem figuræ, ABC, inue-
11A. Def, 1.

9[Figure 9] nire. Sumatur in plano figuræ, AB
C, indefinitè producto, vtcumq; pun-
ctum, N, & per, N, ipſi, BC, du-
catur parallela, KV, indefinitè hinc
inde producta, vel igitur, KV, tan-
git figuram, BAC, & ſic inuentum
eſſet, quod quæritur, vel non; igitur
erit, KV, vel intra, vel extra figu-
ram, vbicumq; ſit, moueatur, KV,
ſemper manens in eiuſdem figuræ
22Poſtul. 1. plano, & æquidiſtans ipſi, BC, re-
cedendo ab eadem, BC, ſi intra figu-
ram reperiebatur, vel accedendo, ſi erat extra, tandem . n.

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