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

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299LIBERI. in planis æquidiſt antibus, ita conſtitutæ, vtipſæincidentes, EG,
Q℟, ſint vel ſuperpoſitæ adinuicem, vel parallelæ, &
homolo-
gæ, BI, SD, LT, XP, ad eandem partem ipſarum, EG, Q℟,
&
partes homologæ incidentium (per dictas homologas, produ-
ctas, ſi opusſit, ſimiliter ad eandem partem dtuiſarum) fuerint
pariter adeandem partem conſtitutæ, tunc voco figuras, ABC
11_D.Def.10._ D, KLγP, nedum ſimiles, ſedetiam ſimiliter poſitas.
Sint nunc quetcumque figuræ planæ in eodem plano vtcumque
diſpoſitæ, ABCD, ΟRΩV, &
aliæ tot numero in quouis plano,
KLγP, Ζ9βΣ, quæbinæ ſint ſimiles, ſcilicet, ABCD, ipſi,
KLγP, &
, ΟRΩV, tpſi, Ζ9βΣ, quarum omnium homologæ
22_C.Def.10._ duabus quibuſdam reperiantur æquidiſtantes, ſint autem reſpe-
ctu ipſarum, quibus dictæ homologæ æquidistant, ductæ in figu-
ris, ABCD, KLγP, oppoſitæ tangentes, AE, CG, KQ, γ
33_B. Def. 10._ ℟, &
in figuris, ΟRΩV, Ζ9βΣ, oppoſitæ tangentes, OH, Ω
M, ΖΓ, βΛ, quæ tangentes eruntregulæ homologarum ſimilium
figurarum iam dictarum;
Sint deinde incidentes duarum ex di-
44_B.Def.10._ ctis ſimilibus figuris vtcumq;
vt ipſarum, ABCD, KLγP, &
oppoſitarum tangentium, AE, CG, ipſæ, EG, Q℟, quæ pro-
ducantur vſque ad extremas tangentes, SM, βΛ, quibus inci-
dant in punctis, M, Λ, reperiamus autem integras, EM, QΛ,
ſimiliter ad eandem partem ſecaritum à tangentibus, CG, γ℟,
tum ab, OH, ΖΓ, &
inſuper portiones, HM, ΓΛ, eſſe etiam
incidentes oppoſitarum tangentium, OH, ΩΜ, ΖΓ, βΛ, &

ſimilium figurarum, ΟRΩV, Ζ9β;
Σ, velutiipſæ, EG, Q℟,
ſunt incidentes oppoſitarum tangentium, AE, CG, KQ, γR,
&
ſimilium figurarum, ABCD, KLγP. Tunc igitur has fi-
guras voco binas ſimiles, &
vnas, ſcilicet ipſas, ABCD, OR
ΩV, ſimiliter, ac alias inter ſe diſpoſitas, ideſt vtipſæ, KLγP,
Ζ9βΣ, &
earum, ac extremarum tangentium, AE, ΩΜ, K
Q, βΛ, ipſas, EM, QΛ, voco etiam incidentes.
A. XI.
SImiles figuræ ſolidæ, vel ſimilia ſolida, in vniuerſum
vocentur, in quorum ſingulis oppofita plana tangen-
tia ita duci poſſunt, &
in eadem ita incidere ad eundem an-
gulum ex eadem parte duo plana in ijſdem terminata, vt

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