Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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">Obſerua quæſo, cum dico motum in plano inclinato eſſe ad motum
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in perpendiculo, vt ipſæ lineæ permutando, ita intelligendum eſſe, vt
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vel aſſumatur motus in ſingulis inſtantibus, ita vt eo inſtanti, quo datum
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ſpatium in inclinata acquiritur, acquiratur duplum in perpendiculo; </
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<
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poſito valet certè tantùm illa proportio ratione motus æquabilis, ſi ſer
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uari debet; nam perinde ſe habet phyſicè, atque ſi eſſet, vt iam fusè ex
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plicatum eſt lib.2. in re ſimili. </
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Theorema
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7.
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Hinc deſcendit mobile per ſe in plano inclinato
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; </
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">ratio eſt, quia totus mo
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tus non impeditur, cum ſit eadem proportio, quæ eſt perpendicularis
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ad inclinatam; dixi per ſe, nam per accidens in plano ſcabro tantillùm
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inclinato mobile deſcendit, adde quod corpus graue tamdiu mouetur
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quandiu accedere poteſt ad centrum terræ. </
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8.
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Motus in infinitum imminui poteſt,
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probatur, quia proportio perpen
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dicularis ad inclinatam poteſt eſſe minor in infinitum, quia inclinata
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poteſt eſſe longior, & in infinitum. </
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Theorema
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9.
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Ex his vera redditur ratio cur in plano inclinato ad angulum BG motus ſit
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ſubduplus illius qui fit in perpendiculari
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; v.g. ſit angulus BAE 60. certè
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AE eſt dupla AB, ſed motus in AB eſt ad motum in AE vt AE ad AB
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per Th.6. igitur eſt duplus. </
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">Ex his reiicies quoque Cardanum, & alios quoſdam, qui diuerſam
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proportionem motuum in planis inclinatis deducunt ex diuerſis angu
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lis inclinationis; iuxta quam proportionem motus in AE eſſet ſubtri
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plus in AB contra experimentum. </
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Theorema
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10.
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Motus acceleratur in plano inclinato
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; </
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<
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">experientia clariſſima eſt, ratio
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eadem cum illa, quam adduximus lib.3. cum de motu naturali, quia ſci
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licet prior impetus conſeruatur, & acquiritur nouus, Imò acceleratur
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iuxta
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proportionem, vel noſtram ſingulis inſtantibus, vel Gali
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lei in partibus temporum ſenſibilibus; vnde aſſumemus deinceps iſtam
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Galilei proportionem, quia ſcilicet partes temporis ſenſibiles tantùm
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aſſumere poſſumus. </
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Theorema
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11.
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In plano inclinato eſt idem impetus innatus qui est in perpendiculari,
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ſed
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in hac habet totum ſuum motum, non verò in illa, quia impeditur, niſi
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enim totus eſſet, non grauitaret corpus illud in planum inclinatum; </
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quippe ſuas omnes vires impetus ille exereret circa motum; </
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<
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">igitur ali
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quid illarum exerit circa motum aliquid circa planum, in quod ex parte
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grauitat; igitur idem eſt impetus innatus, adde quod ille eſt inſepa
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rabilis. </
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