Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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Et per N punctum ducatur planum K L quod diametro
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C A ſit ad angulos rectos. </
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<
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xml:space
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portio cujus A vertex eſt ad eam cujus vertex C rationem ha-
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beat quam S ad T.</
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<
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parallelo, & </
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<
s
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baſin habens circulum factum ſectione K L, verticem vero
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M. </
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<
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xml:space
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M N ad N O longitudine. </
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<
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xml:space
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tionis ut quadratum C M ſive quadr. </
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<
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xml:space
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K N (eſt enim quadr. </
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<
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quadr. </
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</
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lus circa diametrum B D ad eum qui circa diametrum K L. </
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Ergo quoque ille circulus ad hunc ſeſe habebit ut N M ad
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M O. </
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baſis circulus circa diametrum B D, altitudo M O . </
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lem.</
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autem conus ad hemiſphæram B C D, hoc eſt, ad conum
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qui baſin habeat eundem circulum circa B D diametrum,
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& </
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chim. de
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Sphær. &
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Cylin.</
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M H. </
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ſicut M O ad M H. </
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<
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ſolidum M K C L ſicut ſuperficies illius ſphærica ad ſphæ-
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ricam hujus ſuperficiem , hoc eſt, ut M C ad C N .</
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chim. de
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Sphær. &
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Cyl.</
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Erit per converſionem rationis hemiſphæra B C D ad par
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tem ſui quæ remanet dempto ſectore M K C L, ſicut C M
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chim. de
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Sphær.
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& Cyl.</
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ad M N: </
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enim O Q dupla ſit ipſius M N poſtea oſtendemus. </
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autem oſtenſum, quod hemiſphæra B C D ad conum K M L
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ſicut H M ad M O. </
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tam portionem inter plana B D, K L contentam erit ut H M
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ad utramque ſimul Q O, O M , hoc eſt, ad M Q. </
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re & </
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portionem K C L, ut M H ad H Q. </
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<
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dentium duplis, ſphæra tota ad portionem K C L ut E </
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