Monantheuil, Henri de, Aristotelis Mechanica, 1599

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1æqualis rectæ h q: alioqui ſi
79[Figure 79]
ambæ peripheriæ ambabus re­
ctis eſſent æquales, cum ipſæ
ſint æquales rectæ, vt demon­
ſtratum eſt, eſſent & periphe­
riæ æquales, maior minori, quod
abſurdum. Ex quo exploditur
ratio Bouilli, qui ex circumuolu­
tione circuli exactè rotundi ſu­
per plano ad libellam facto pu­
tabat inueniſſe rectam periphe­
riæ æqualem. Quæritur ergo quod eſt ſuperiori problemate diffici­
lius, vt fieri poßit rectarum æqualium peragratio à circulis inæqua­
libus. Sit igitur vt rotæ axis a tranſeat in F. Et quia a h & F G
80[Figure 80]
æquales ſunt. Radij enim ſunt eiuſdem circuli minoris & h G eſt
æquidiſtans a F. Erit per demonſtrata punctum G in linea F H.
Et ponatur quod punctum fuerit M in maiori circulo, quod tranſla­
tum & retrò reuolutum peruenerit ad H, atque a M ſecet circulum
minorem h F e, vt in puncto I. Dico quod I eſt punctum G. Nam
quia M eſt H, & in linea F H: præterea I eſt in linea a M,
erit etiam in linea F H. Eſt etiam in circulo h F e. Ergo in puncto
communi vtrique. Nullum autem eſt præter G. Igitur I peruenit

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