Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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CHR. HUG. ILL. QUOR. PROB. CONSTR.
"/>
verò reliquam in infinitum licet utrimque productam in diver-
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ſum curvari; </
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<
s
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poſſent ubi contraria flexio initium capit. </
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<
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xml:space
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hoc ſequentem invenimus conſtructionem.</
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<
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<
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xml:space
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">Sit duabus A G, A Q tertia proportionalis A E, ſumenda
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verſus G. </
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<
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xml:space
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<
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xml:space
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">Porro ſit G R ipſi G Q
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ad angulos rectos, & </
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<
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xml:id
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xml:space
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">æqualis duplæ G A. </
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<
s
xml:id
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xml:space
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">Et deſcribatur pa-
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rabole R O, cujus vertex ſit R axis R G, latus rectum ipſi A G
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æquale. </
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<
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xml:space
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">Centro autem F radio F R circumferentia deſcriba-
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tur, quæ parabolen ſecet in O; </
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<
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xml:space
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">& </
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<
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xml:space
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">ducatur O C parallela A B
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occurratque conchoidi in punctis C, D. </
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<
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xml:space
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quæſita in confinio flexionis contrariæ.</
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<
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</
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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. 6.</
note
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tum ex A Q non majus eſt quam duplum quadrati A G, ar-
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cus triſectione propoſitum quoque efficiemus. </
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<
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xml:space
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dem prout A Q major vel minor erit quam A G. </
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<
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xml:space
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minor, deſcribenda eſt circumferentia centro A radio A G,
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in eaque ponenda G K æqualis duplæ G E, inventæ ut priùs.
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</
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xml:space
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">Et rectæ G H quæ ſubtendit trientem circumferentiæ K H G
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æqualis ſumenda G M, & </
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xml:space
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Fig. 7.</
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A B parallela. </
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ris ad eundem modum compoſitis, hæc tantum differentia
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erit quod arcum K P, qui unà cum arcu G K ſemicircum-
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ferentiam explet, in tria æqualia dividere oportet, & </
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unam conſtituere P H, & </
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<
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xml:space
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<
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enim G M fit æqualis lateri trigoni ordinati in circulo in-
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ſcripti. </
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</
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<
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<
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dem facilè diſcerni poterunt, qui ad anguli triſectionem re-
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ducuntur.</
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