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

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GEOMETRIÆ
CAVALERII.
LIBER QVINTVS.
In quo de Hyperbola, Oppoſitis Sectionib us,
ac ſolidis ab eiſdem genitis, babetur
contemplatio.
THEOREMA I. PROPOS. I.
OMNIA quadrata Hyperbol@, regu-
la ſumpta baſi ſcilicet vna ex ordi-
natim applicatis ad axim, vel diame-
trum eiuſdem, ad omnia quadrata
parallelogrammi in eadem baſi, &

altitudine cum ipſa, erunt vt linea
compoſita ex dimidia tranſuerſi la-
teris hyperbolæ, &
diametri, vel
axis eiuſdem, ad compoſita n ex tranſucrſo latere, &
axi,
vel dia netro eiuſdem:
Eade n verò ad omnia quadrata
trianguli in eadem baſi, &
altitudine cum ipſa erunt, vt cõ-
poſit@ ex ſexquialtera tranſuerſi lateris, &
axi, vel diame-
tro eiuſdem, ad compoſitam ex tranſuerſo latere, &
axi,
vel diametro eiuſdem.

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