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

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

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7454GEOMETRIÆ

LEMMA I.

SI ſint duæ ſimiles ſolidæ figuræ iuxta definit. 9. Vndec. Elem. &
in earum altera duæ aſſumantur in ambitu quæcumque figuræ
coincidentes, illæ erunt ad inuicem æquè ad eandem partem incli-
natæ, ac aliæ duæ, quæ in reliqua ſolida figura eiſdem ſimiles eſſe
ſupponuntur.

Sint ſim les ſolidæ figuræ, AN, KR, in earum autem altera, A
N, ſumantur duæ quæcumq; figuræ inuicem coincidentes, AV, V

37[Figure 37] H, quibus in
reliqua ſimiles
ſint, Κ Λ, qui-
dem, AV, & ,
Λ & , ipſi, HV:
Dico vtraſque,
AV, VH, ęquè
ad inuicem, &
ad eandempar-
tem eſſe incli-
natas, ac ſunt
ipſę, Κ Λ, Λ & .
Velergo, AG,
1118. Vnde-
cimi El. KY, ſunt ſubie-
ctis planis per-
pẽdiculares, &
tunc, AV, Κ Λ,
erunt ipſis, H
V, & Λ, erecta,
vel nõ, & tunc
demittantur à
punctis, A, K,
ſubiectis planis
perpẽdiculares,
AE, KT, & ſu-
per ipſas, HG,
VG, productas
(ſi opus ſit, &
niſi, AG, KY,
ſint vel ipſis, H
G, & Y, vel ip-
ſis, GV, Υ Λ, perpendiculares) ſimiliter ad angulos rectos

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