Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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ILLUST. QUORUND. PROB. CONSTRUCT.
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<
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. III.</
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tionales invenire.</
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<
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complures retulit Eutocius ad lib. </
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Sphæra & </
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recte quoque ipſe animadvertit. </
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<
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xml:space
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">Heronis enim inventionem
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ſecuti videntur Apollonius & </
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xml:space
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Heronem Apollonio ætate poſteriorem nonnulli exiſtiment.
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</
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<
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ſtructio præ cæteris ſubtilis ibidem extat, quam Fr. </
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<
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xml:space
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paulò aliter concinnatam ſuo Geometriæ ſupplemento inſe-
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ruit. </
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cumferentiæ interſectionem, cujus demonſtratio legitur in
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libris Harmonicôn M. </
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tes.</
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<
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">Sit datarum linearum major A C, quæ bifariam ſecetur
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Fig. 4.</
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in E. </
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gulus E A B habeat crura æqualia A E, E B. </
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tur parallelogrammum C A B D. </
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A B. </
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quousque poſitionem habeat G F, abſcindens nimirum E F
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æqualem rectæ E G; </
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quemur, vel deſcriptâ hyperbole, uti poſtea oſtendetur)
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Dico inter A C, A B medias duas inventas eſſe B G,
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C F.</
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B E æqualis E A, dividetur A B in K bifariam: </
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tem eſt linea B G. </
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ex K B, æquabitur quadrato K G. </
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drato K E, erit rectangulum A G B unà cum quadratis
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B K, K E, hoc eſt unà cum quadrato B E, æquale qua-
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drato E G. </
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