Full text: Angeli, Stefano: Miscellaneum Hyperbolicum et Parabolicum

bolici contento inter duo plana baſi parallela, ad
ipſum.

31. PROPOSITIO XV.

Si ſegmento conoidis hyperbolici reſecti plano baſi parallelo,
ſit circumſcriptus cylindrus. Erit bic ad ipſum ſegmen-
tum, vt rectangulum ſub compoſita ex latere tranſuer-
ſo, & ex diametro conoidis, & ſub diametro, ad re-
ctangulum ſub eadem compoſita, & ſub diametro co-
noidis ad verticem, vna cum rectangulo ſub compoſi-
ta ex dimidio lateris tranſuerſi, & ex tertia parte dia-
metri fruſti, & ſub eadem tertia parte.

COnoides hyperbolicum cuius baſis A C, ver-
tex B, diameter D B, latus tranſuerſum. G B, intelligatur ſectum plano H K I, A C, pa-
rallelo, & ipſi ſit circumſcriptus cylindricus L C. Di-
co hunc eſſe ad ſegmentum conoidis, vt rectangu-
lum G D B, ad rectangulum ſub G D, in B k,
vna cum rectangulo ſub compoſita ex dimidia G B,
& tertia parte D k, & ſub tertia parte D k.

Segmento A H I C, intelligatur inſcriptum ſeg. mentum E N O F, conoidis parabolici cuius ver-
tex B, conditionis ſupra ſæpe expoſitæ; & in talibus
ſegmentis intelligantur ſegmenta conorum inſcri-
ptorum in integris conoidibus, quæ ſint A P Q C,
E R S F. Quoniam fruſtum A H I C, conſtat ex
fruſto parabolico, & ex differentia fruſtorum conoi-

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