Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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æqualis rectæ
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:
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alioqui ſi
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ambæ peripheriæ ambabus re
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ctis eſſent æquales, cum ipſæ
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ſint æquales rectæ, vt demon
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ſtratum eſt, eſſent & periphe
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riæ æquales, maior minori, quod
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abſurdum. </
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<
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">Ex quo exploditur
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ratio Bouilli, qui ex
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circũuolutione
">circumuolu
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tione</
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circuli exactè rotundi ſu
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per plano ad libellam facto pu
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tabat inueniſſe rectam periphe
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riæ æqualem. </
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<
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id
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id.002619
">Quæritur ergo quod eſt ſuperiori problemate diffici
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lius, vt fieri poßit rectarum æqualium peragratio à circulis inæqua
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libus. </
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id.002620
">Sit igitur vt rotæ axis
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tranſeat in F. </
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">Et quia
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& F G
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æquales ſunt. </
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<
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id
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id.002623
">Radij enim ſunt eiuſdem circuli minoris &
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G eſt
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æquidiſtans
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F. </
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">Erit per demonſtrata punctum G in linea F H.
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</
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<
s
id
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id.002625
">Et ponatur quod punctum fuerit M in maiori circulo, quod tranſla
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tum & retrò reuolutum peruenerit ad H, atque
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M ſecet circulum
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minorem
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F
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vt in puncto I. </
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<
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id
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id.002626
">Dico quod I eſt punctum G. </
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<
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id
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id.002627
">Nam
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quia M eſt H, & in linea F H: præterea I eſt in linea
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M,
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erit etiam in linea F H. </
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<
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id
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id.002628
">Eſt etiam in circulo
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F
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Ergo in puncto
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communi vtrique. </
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">Nullum autem eſt præter G. </
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<
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">Igitur I peruenit
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