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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Tangentis proprietatem; </
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difficillimum. </
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ſienſi anni ultimi, quare hanc hic non trado.</
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<
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">Alterum eſt ejus reſponſum de aliâ curvâ valde cognitâ, & </
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quam Carteſius aliter adhuc conſideravit, ut & </
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<
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eo tempore, quo negotia Reip. </
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<
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">non impediebant, quo-
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minus vacaret ſtudiis. </
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<
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<
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<
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fig. 4.</
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lium A B C H circumſcribit & </
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Aſymptoton E F G. </
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<
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+ y
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= xyn ſi A D
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ponatur x in recta, quæ cum diametro C A format angulum
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45 graduum; </
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<
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">perpendicularis DB, vel D H, vel D K, y; </
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n recta data. </
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xml:space
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">Cum ipſi indicaſſem, me inveniſſe qua-
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draturam hujus curvæ, & </
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<
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xml:space
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">quod contentum folii A B C H
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eſſet = {1/6} nn id eſt {1/3} quadrati diametri A C; </
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tium infinitum inter Aſymptoton & </
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etiam ejuſdem magnitudinis eſſent; </
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neralis ſegmentorum exprimeretur per unicum terminum;
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</
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">ille invenit veram illam quadraturam generalem. </
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">Scilicet quod
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contentum ſegmentorum A H vel A K exprimatur per {nxx/6y}
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& </
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">ſegmenti A B per {nyy/6x}; </
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<
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xml:space
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">ſed ulterius mihi affirmat ſe eo
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perveniſſe per tres diverſas vias; </
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ſuaſum habeam me non parum profeciſſe unicam dete-
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gendo.</
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