Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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THEOR. DE QUADRAT.
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portione punctum L. </
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gulum A B C eam habere rationem, quam duæ tertiæ to-
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tius E D ad F L.</
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<
s
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xml:space
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">Conſtituatur enim ad diametrum, ut in præcedentibus,
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triangulus K F H; </
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ctangulo E D B, & </
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<
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xml:space
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parallela: </
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<
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">ejuſque trianguli ſit centrum gravitatis M, ſum-
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ptâ nimirum F M æquali duabus tertiis lineæ F G .</
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<
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Arch. de
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Æquip.</
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F G ad B D: </
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">verùm ut F G ad B D, ita eſt E D ad F G,
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quia quadratum F G æquale eſt rectangulo E D B; </
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<
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">& </
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<
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E D ad F G, ita ſunt duæ tertiæ E D ad duas tertias F G,
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id eſt F M; </
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<
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xml:space
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ut duæ tertiæ E D ad F M. </
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ad triangulum K F H, ut F M ad F L , quoniam
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Archim. de
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Æquipond.</
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librium portionis & </
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tur in proportione perturbata, erit portio ad triangulum
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A B C, ut duæ tertiæ lineæ E D ad F L : </
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Elem.</
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monſtrandum.</
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<
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VII.</
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inſcriptum, eandem cum ipſa baſin habentem
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eandemque altitudinem, hanc habet rationem; </
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<
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ſubſeſquialtera diametri portionis reliquæ, ad eam
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quæ ex figuræ centro ducitur ad centrum gravitatis
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in portione.</
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<
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Fig. 4. 5.</
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major, & </
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portione baſin habens, eandemque altitudinem; </
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tem portionis ſit B D, quæ producatur, & </
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quod tranſibit per centrum figuræ; </
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portionis reliquæ D E. </
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