Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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CHRISTIANI HUGENII
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ret portionem A B C ad inſcriptum triangulum minorem ha-
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bere rationem quam triplam ſeſquitertiam D F ad duplam
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E B, hoc eſt, diametrum B F, unà cum tripla E D. </
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erat demonſtrandum.</
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<
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. XVI.
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. XIX.</
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jor eſt ſuâ ſubtenſâ ſimul & </
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<
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xml:space
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tiæ quâ ſubtenſa ſinum excedit. </
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<
s
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xml:space
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">Idem verò minor
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quam ſubtenſa ſimul cum ea quæ ad dictum trien-
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tem ſeſe habeat, ut quadrupla ſubtenſa juncta ſi-
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nui ad ſubtenſam duplam cum ſinu triplo.</
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<
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</
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<
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xml:space
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xml:space
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Fig. 5.</
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cus B A ſemicircumferentiâ minor, cui ſubtenſa ducatur
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B A, ſinus autem A M: </
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angulos rectos. </
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<
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xml:space
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G I æqualis ſubtenſæ A B. </
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<
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xml:space
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<
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triens I K ipſi G I adjiciatur. </
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xml:space
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cum A B totâ G K majorem eſſe. </
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<
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xml:space
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mate 7. </
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ad I K trientem ipſius H I rationem habeat, quam quadru-
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pla G I una cum G H ad duplam G I cum tripla G H.
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</
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xml:space
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ſuper lineis G H, H I, IO, triangula quorum communis
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vertex ſit L, altitudo autem æqualis radio D B. </
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tur D A, ducaturque diameter circuli C E quæ rectam
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A B bifariam dividat in N, arcum vero A B in E. </
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<
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gantur A E, E B.</
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<
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cum G H ad duplam G I cum tripla G H; </
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tium triplis erit O I ad I H (hæc enim tripla eſt I K,) ut
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quadrupla G I unà cum G H ad ſexcuplam G I cum non-
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cupla G H. </
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