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

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3212GEOMETRIÆ alias, Ω Δ RQ, cum prædictis angulos æquales continentes, ℟
Ω Δ, PRQ, proregulis homolog arum accipiemus, hoc .
n. fieri
pθſſe demonſtrabitur in Prop.
23. buius, quę erunt cum planis, Δ
Υ, QK, concurrentes.
Siergo ducantur prædictarum ſimilium
8[Figure 8] figurarum, β λ, HE, Σ Φ, CM, oppoſitæ tangentes, parallelæ
regulis, Ω Δ, RQ, ex.
g. ſiguræ, β Λ, oppoſitæ tangentes, β Τ,
Λ S, &
, HE, ipſæ, HD, EI, & , Σ Φ, ipſæ, Σ Ο, Φ V, & tan-
demipſius, CM, ipſæ, CN, MG, quæ productæ ſi opus ſit, oc-
currant planis, Δ Υ, QK, inpunctis, T, S;
OV; D, I; N, G;
iungantur autem, TS, OV, DI, NG, et ipſęreperiantur eſſe
incidentes ſimilium figurarum, β λ, HE, Σ Φ, CM, et dicta-
rum oppoſitarum tangentium.
Conſimiliter, ſectis eiſdem ſolidis alijs planis dictis planis tan-
gentibus paralle@is, altitudine ſque dictas ſimiliter ad candem,
partem ſecantibus, ſemper conceptæ in ſolidis figuræ ſint ſimiles,
velbinę ſimiles, &
c. & earumdem homologarum oppoſitę tangen-
tes parallelę pręfatis regulis, Ω Δ, RQ, ſint productę vſque ad
plana, Δ Υ, QK;
occurrantque illis in punctis, quę ſiiungan-
tur rectis lineis, ipſę iungentes ſint dictarum ſimilium ſigurarum,
&
ductarum oppoſitarum tangētium ſemper incidentes, quæ om-
nes iaceantin planis, Δ Υ, QK, per quarum extrema tranſeant
lineę, ΧVΥΤ, FGKD, et interius lineæ, 4 N 6 I, 7085,
&
conting at figuras, ΧVΥΤ, FGKD, eſſe ſimiles, earumque
homologas dictas incidentes, &
ipſarum regulas eſſe communes
ſectiones planorum, in quibus iacent, &
oppoſitorum

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