Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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DE RATIOCINIIS
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<
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XIV.</
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<
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xml:space
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s
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<
s
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xml:space
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">alius duabus teſſeris alternatim jaciamus,
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hâc conditione, ut ego vincam ſimul atque ſe-
<
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ptenarium jaciam, ille vero quam primùm ſena-
<
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rium jaciat; </
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>
<
s
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xml:space
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">ita videlicet, ut ipſi primum ja-
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ctum concedam: </
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<
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xml:space
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">invenire rationem meæ ad ipſius
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ſortem.</
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<
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xml:space
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</
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<
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<
s
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xml:space
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">POnatur, ſortem meam valere x, & </
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<
s
xml:id
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xml:space
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">id quod depoſi-
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tum eſt vocari a; </
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<
s
xml:id
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xml:space
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">eritque ſors alterius = a—x. </
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>
<
s
xml:id
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xml:space
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">Et
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patet, quandocunque ipſius vices jaciendi revertuntur, ſor-
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tem meam tum rurſus debere eſſe = x. </
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>
<
s
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xml:space
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">At quandocunque
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meæ vices ſunt ut jaciam, ſors mea pluris æſtimanda eſt.
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</
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<
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">Ponatur itaque pro ejus valore y. </
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<
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xml:space
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">ſam quo niam ex 36 ja-
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ctibus reperiuntur 5 in 2 teſſeris, qui colluſori meo ſena-
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rium dare luſuſque victorem reddere poſſunt; </
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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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">31 jactus,
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quibus diverſum eveniat, id eſt, qui meas jaciendi vices pro-
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movent: </
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>
<
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xml:space
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">habebo, priuſquam jacit, 5 caſus ad obtinen-
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dum 0, & </
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<
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xml:space
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">31 caſus ad obtinendum y. </
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<
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Pro-
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poſitionem valet {31 y/36}. </
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<
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xml:space
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">Poſuimus autem caſum meum à
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principio eſſe = x. </
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<
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xml:space
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">Quocirca erit {31 y/36} = x, adeo-
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que y = {36 x/31}. </
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xml:space
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">Deinde poſitum fuit, vicibus meis ve-
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nientibus, ſortem meam valere y. </
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<
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xml:space
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">Ego verò jacturus,
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habeo 6 caſus ad obtinendum a, quandoquidem 6 ja-
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crus reperiuntur 7 puncrorum, qui me victorem red-
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dunt; </
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<
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">habeoque 30 caſus, quibus vices colluſoris mei
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revertuntur, id eſt, ut mihi obtineam x. </
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<
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