Monantheuil, Henri de, Aristotelis Mechanica, 1599

Table of figures

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                initium eſt motus. </s>
                <s id="id.001603">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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                <s id="id.001604">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. </s>
                <s id="id.001605">Contactus
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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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                <s id="id.001606">quò igitur erit minor, eò minus hærere, citiuſque diuelli faciet. </s>
                <s id="id.001607">Mul­
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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. </s>
                <s id="id.001608">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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                <s id="id.001610">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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                <s id="id.001611">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. </s>
                <s>procliues ſunt maxime
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                ad motum. </s>
                <s id="id.001612">Latus enim curuum anguli vnius contactus ſemotum
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                quidem eſt à plano: ſed parum propter anguli anguſtiam. </s>
                <s id="id.001613">Et ſic non
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                offenſat, & proximum eſt caſui. </s>
                <s id="id.001614">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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                <s id="id.001615">At ſi rectilineum eſſet.]
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                Difficultas motus in mobili pendet
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                ab eius internis aut externis. </s>
                <s id="id.001616">Interna eſt naturalis cuiuſque
                  <expan abbr="propẽſio">propenſio</expan>
                ,
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                qua extra locum exiſtens, ſi liberum ſinatur mobile, ad
                  <expan abbr="eũ">eum</expan>
                per ſe fe­
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                ratur. </s>
                <s id="id.001617">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. </s>
                <s id="id.001618">Itaque prima
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