Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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ex qua priùs deſcenderat dixi ferè, quia cum innatus ſit perfectior vlti
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mo acquiſito paulò plùs ſpatij acquiritur in deſcenſu, quàm in aſcenſu,
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ſed minimum eſt ſenſibile. </
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Theorema
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76.
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Hinc æqualibus temporibus aſcendit ferè ab F in N, & deſcendit ex M
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in F,
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quia numerus terminorum æqualis eſt numero inſtantium. </
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Theorema
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77.
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Hinc motum haberet ferè perpetuum ab M in F ab F in N, ab N ite
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rum in F, &c.
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ſi enim deſcendens ex M in F aſcendit ad æqualem altitu
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dinem FN, ita & deſcendens ex N in F aſcendet ad æqualem altitudi
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nem FM, atque ita deinceps; </
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<
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">igitur motus erit ferè perpetuus; </
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">ſed pro
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fectò nullum eſt corpus tàm læuigatum, quod motum non impediat: dixi
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ferè, quia deſcenſus tantillùm ſuperat aſcenſum, ſed vix intra mille an
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nos ſenſu id percipi poſſet. </
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Theorema
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Hinc ſi terrestris globus eſſet perforatus in perpendiculo FAI, ſi ex puncto
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F demitteretur globus plumbeus per FAI deſcenderet ex F in A, tum ex
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Aaſcenderet in I æquali ferè tempore
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; </
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">quod neceſſariò ſequitur ex dictis; </
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quia omnes gradus qui concurrent ad aſcenſum, etiam concurrerent ad
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deſcenſum, præter vnum, ſcilicet vltimo inſtanti deſcenſus acquiſitum; </
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& omnes, qui concurrerent ad deſcenſum, concurrerent etiam ad aſcen
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ſum præter vnum, ſcilicet primum vel innatum; </
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<
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">igitur æquale ſpatium
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æquali tempore percurreretur; </
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">quod certè dictum ſit abſtrahendo à re
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ſiſtentia aëris, quæ fortè modica eſſet; </
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<
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">Ex hac perpetua vibrationum ſe
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rie aliquando explicabimus cauſas phyſicas apogæi & perigæi Solis, &
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aliorum planetarum; adhibe
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cautionem, de qua ſuprà. </
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Theorema
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79.
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Si duo plana inclinata faciunt angulum eſt ferè æqualis aſcenſus deſcenſui.
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v. </
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">g. deſcendat per LF dico quod aſcendet per FR ad altitudinem ferè
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æqualem LF, quia licèt in angulo illo LFR ſit noua determinatio ad
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nouam lineam motus, id eſt quaſi reflexio; </
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<
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">nihil eſt tamen quod deſtruat
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impetum; nam in reflexione ſeu noua determinatione non perit aliquid
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impetus neceſſariò vt lib. ſequenti demonſtrabimus. </
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Theorema
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80.
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Eſt tamen alia ratio de motu funependuli quâ euincemus aſcenſum eſſe mi
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norem deſcenſu,
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de qua infrà. </
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Theorema
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81.
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Initio aſcenſus per FN deſtruuntur gradus impetus producti ſub finem de
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ſcenſus, & ſub finem aſcenſus destruuntur producti initio deſcenſus:
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ratio eſt
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clara, quia producti ſub finem deſcenſus ſunt imperfectiores, cùm plùs
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recedant à perpendiculari, per Th. 55. ſimiliter initio aſcenſus longiùs
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recedit linea à verticali; </
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<
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">igitur minùs deſtruetur impetus, vt ſæpè incul-</
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