Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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initium eſt motus. </
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">Plurimum itaque confert ad motus facilitatem,
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vt tum axis, tum rota intus ſint læuißima, vnde aurigæ axungia
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( quæ inde nomen traxit ) ipſa inungunt.
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id
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">Quod parua ſui.]
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Prima cauſa eſt facilitatis motus ſuper plano
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in rotundis de modico contactu in omni ſui poſitione. </
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enim multa parte ſui facit hærere, & ſimul eſſe ea, quæ ſeſe ſic con
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tingunt, & quidem tantò magis, quantò maior eſt hic contactus.
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</
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<
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">quò igitur erit minor, eò minus hærere, citiuſque diuelli faciet. </
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<
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ta autem præter rotunda vt triangulum æquilaterum, & tetraë
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dron planum in puncto contingere poſſunt, ſed non in omni ſui poſi
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tione, vt cum ſecundum vnam ſui aream ſuperiacent: at rotunda
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ſiue ſphæra ſit, ſiue circulus planum in vno puncto quouis modo ſe
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cundum curuaturam poſita attingunt. </
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<
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">quod demonſtratum eſt de
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illo quidem à Theodoſ. prop. 2. lib. 1. de Sphær. de hoc vero ab Eucli
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de prop. 16. lib. 3.
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id
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">Et quia non off.]
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Secunda cauſa eſt de occurſantibus, quæ
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rurſus cum minimam partem rotundorum attingant, & atterant,
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minus impediunt, quam quæ plus attingunt, pluribuſque occurſant.
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<
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id
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">Diſtat enim angulus.]
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Cum rotundum incumbit plano ad
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omnes rectas à quibus tangitur in ipſo plano angulos facit contin
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gentiæ, quorum ſinguli quia ſunt minores quouis acuto angulo re
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ctilineo, vt eſt demonſtratum prop. 16. lib. 3. </
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<
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>procliues ſunt maxime
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ad motum. </
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id
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">Latus enim curuum anguli vnius contactus ſemotum
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quidem eſt à plano: ſed parum propter anguli anguſtiam. </
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id
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">Et ſic non
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offenſat, & proximum eſt caſui. </
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<
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id
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">Hinc etiam vna cauſa colligi po
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teſt, cur rotunda maiora facilius moueantur minoribus, quod
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angulos ſui contactus tantò acutiores faciunt: quantò ſunt maiora,
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vt in libello noſtro de angulo contactus demonſtrauimus.
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id
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">At ſi rectilineum eſſet.]
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Difficultas motus in mobili pendet
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ab eius internis aut externis. </
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">Interna eſt naturalis cuiuſque
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,
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qua extra locum exiſtens, ſi liberum ſinatur mobile, ad
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per ſe fe
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ratur. </
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<
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id
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">Atque vt ibi vi retineatur, eò tamen quodam motu occulto
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tendit, vt graue deorſum, leue ſurſum, & ſemper ſecundum rectam
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perpendicularem in qua eſt centrum grauitatis mobilis: aliò nun
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quam, niſi vi contraria nixus ille vincatur, vt cum graue ſurſum:
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aut leue deorſum: aut vtrumque ad latera propellitur. </
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<
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