Full text: Angeli, Stefano: Miscellaneum Hyperbolicum et Parabolicum

B D, eſt 12, talium P N, erit 1. Cum verò ſi ſiat
vt exceſſus conoidis ſupra conum ad conum, nem-
pe vt 1, ad 2, ſic reciprocè N P, ad P M, ſit M,
centrum grauitatis exceſſus prædicti. Sequitur qua-
lium B D, erat 12, P N, 1, & B P, 8, talium P M,
eſſe 2, & B M, 6. Quare patet propoſitum.

17. PROPOSITIO VII.

Cylindrus circumſcriptus conoidi hyperbolico eſt ad ipſum,
vt compoſita ex axi, ſeù diametro, & ex latere tran-
ſuerſo conoidis, ad dimidium lateris tranſuerſi, vna
cum tertia parte axis, ſeù diametri.

PRopoſitio ergo quinta probatur alio modo. Sint
ſolida prædicta, & c. Dico cylindrum Q C, eſ-
ſe ad conoides hyperbolicum A B C, vt G D, ad
dimidiam G B, cum tertia parte D B. Cum enim
conoides A B C, diuidatur in conum A B C, & in
exceſſum ipſius ſupraipſum; ſequitur Q C, cylin-
drum eſſe ad conoides A B C, vt eſt etiam ad co-
num A B C, & ad exceſſum conoidis ſupra conum. Cylindrus Q C, eſt ad conum A B C, vt quadra-
tum A D, ad ſui tertiam partem: & ex ſchol. ant. eſt ad exceſſum conoidis A B C, ſupra ſuum co-
num vt quadratum A D, ad ſextam partem quadra-
ti D E. Ergo colligendo ambo conſequentia, erit
QC, ad conum, & ad exceſſum, nempe ad conoides
A B C, vt quadratum A D, ad ſui tertiam partem,

Waiting...

Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.

powered by Goobi viewer