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

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_S_Int duæ figuræ planæ. ABCD, KLγP, in quibus ſupponantur
ductæ
oppoſitæ tangentes, AE, CG, in figura, ABCD, &
KQ,
11_B.Def.1._ γ℟, in fig.
KLγP, quibus incidant duæ rectæ lineæ, EG, Q℟, ad
eundem
angulum ex eadem parte, ſiue ſecent figuras, ſiue non, du-
ctis
autem vtcumq dictis tangentibus parallelis, BF, L&
, quæ
in
puctis F, &
, diuidant ſimiliter ad eandem partem ipſas, EC,
Q℟
, &
circuitus figu-
6[Figure 6] rarum in punctis, B, I,
S
, D, L, T, X, P.
repe-
riamus
, DF, ad, P&
,
eſſe
vt, EC, ad, Q℟,
&
ita eſſe, SF, ad, X& ,
IF
, ad, T&
, BF, ad
L
&
, ita nempè, vt, quæ
ſunt
ad eandem partem
ipſarum
, EG, Q℟, eo-
dem
ordine ſumptæ, ſint,
vt
ipſæ, EG, Q℟, ſic
etiam
tangentes, AE, KQ, CG, γ℟, ſint vt, FQG, , &
ſic cæ-
teræ
conſimiliter ſumptæ, tunc voco figuras, ABCD, KLγP ſimi-
22_A Def.10._ les, &
ipſas, EG, Q℟, incidentes ſimiles figurarum, ABCD, KLγP,
33_B.Def.10._&
oppoſitarum tangentium, AE, CG, KQ, γ℟; ipſas, BI, SD,
LT
, XP, quæ clanduntur perimetris figurarum, &
diuidunt pro-
ductæ
, ſiopus ſit, ipſas, EG, Q℟.
ſimiliter ad eandem partem,
voco
, homologas earumdem figurarum, quarum dictæ oppoſitæ
44_C.Def.10_ tangentes dicuntur tangentes, ſiue regulæ.
Cum verò figuræ, ABCD, KLγP, fuerint in eodem plano,

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