Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER V.
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xml:space
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">COROLLARIVM II.</
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<
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xml:space
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<
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xml:space
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">aſſumpta eius figura, dimiſſis parallelogrammis, A
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Z, CG, & </
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<
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xml:space
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">rectis, CH, RG, LK, vt fiat noſtrum exemplum re-
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fig-0433-01
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fig-0433-01a
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291
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0433-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0433-01
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uoluatur figura circa manentem axim,
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NE, vt fiat ex parallelogrammo, SF, cy,
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lindrus, SF, ex triangulo, DMF, conus-
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DMF, & </
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<
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">ex hyperbolis, DNF, HNG,
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conoides hyperbolicæ, DNF, HNG,
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patet ergo ex hac Propoſ. </
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<
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">conoidem, D
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NF, ad conoidem, HNG, abſciſſam pla-
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no, HG, æquidiſtanteipſi plano, DF,
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eſſe vt parallelepipedũ ſub, XE, & </
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<
s
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drato, EN, ad parallelepipedum ſub, X
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M, & </
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<
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echoid-s10793
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">quadrato, MN, & </
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<
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echoid-s10794
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">ſic eſſe quod-
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libet ſolidum ſimilare genitum ex hy-
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perbola, DNF, ad ſibi ſimilare genitũ
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ex hyperbola, HNG, iuxta communem
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regulam, DF.</
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xml:space
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">COROLLARIVM III.</
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<
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<
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">3. </
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<
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xml:space
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">patet in ſuperioris figura, in qua eius exemplum
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conſtructum eſt, cylindrum, SF, ad fruſtum conoidis, HDFG,
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eſſe vt rectangulum, OEN, ad rectangulum ſub, OE, &</
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<
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">, NM,
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vna cum rectangulo ſub compoſita ex {1/2}. </
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E. </
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<
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">Et conum, DMF, ad idem fruſtum eſſe, vt rectangulum, OE
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N, ad rectangulum ſub, OE, & </
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<
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">tripla, NM, vna cum rectangulo
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ſub compoſita ex, NX, &</
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<
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">, ME, & </
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<
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milaria quæcunq; </
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<
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pè, SF, fruſto hyperbolæ, HDFG, & </
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<
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<
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<
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292
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<
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0433-02
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