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

Table of contents

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[161.] COROLLARIVM.
[162.] VI.
[163.] COROLLARIVM.
[164.] VII.
[165.] A. VIII.
[170.] APPENDIX. Pro antecedentium Definitionum explicatione.
[171.] POSTVLATA I.
[172.] II.
[173.] THEOREMA I. PROPOS. I.
[174.] SCHOLIVM.
[175.] THEOREMA II. PROPOS. II.
[176.] COROLLARIV M.
[177.] THEOREMA III. PROPOS. III.
[178.] COROLLARIVM.
[179.] THEOREMA IV. PROPOS. IV.
[180.] COROLLARIVM.
[181.] THEOREMA V. PROPOS. V.
[182.] THEOREMA VI. PROPOS. VI.
[183.] THEOREMA VII. PROPOS. VII.
[184.] THEOREMA VIII. PROPOS. VIII.
[185.] COROLLARIVM.
[186.] THEOREMA IX. PROPOS. IX.
[187.] COROLLARIVM.
[188.] THEOREMA X. PROPOS. X.
[189.] COROLLARIVM.
[190.] THEOREMA XI. PROPOS. XI.
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page |< < (54) of 569 > >|
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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