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

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[43.] APPENDIX POSTERIOR Pro declaratione Definit. II.
[44.] SCHOLIVM.
[45.] XII.
[46.] XIII.
[47.] XIV.
[48.] XV.
[49.] POSTVLATA I.
[50.] II.
[51.] PROBLEMA I. PROPOS. 1.
[52.] COROLLARIVM.
[53.] PROBLEMA II. PROPOS. II.
[54.] PROBLEMA III. PROPOS. III.
[55.] SCHOLIVM.
[56.] THEOREMA I. PROPOS. IV.
[57.] COROLLARIVM I.
[58.] COROLLARIVM II.
[59.] THEOREMA II. PROPOS. V.
[60.] THEOREMA III. PROPOS. VI.
[61.] COROLLARIVM.
[62.] THEOREMA IV. PROPOS. VII.
[63.] THEOREMA V. PROPOS. VIII.
[64.] COROLLARIV M.
[65.] THEOREMA VI. PROPOS. IX.
[66.] COROLLARIVM.
[67.] THEOREMA VII. PROPOS. X.
[68.] THEOREMA VIII. PROPOS. XI.
[69.] COROLLARIV M.
[70.] LEMMA PRO ANTECED. PROP.
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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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