Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tùm in perfectione illius, qui producitur per AB; ſi enim æqualis perfe
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ctionis; </
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<
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">igitur impetus poſt deſcenſum per AC eſſet duplus illius qui ha
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betur in B poſt deſcenſum per AB; </
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<
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">ſi autem eſſet minor ſubduplo; </
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<
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">igitur
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in C, vel impetus eſſet minor quam in B contra hypotheſim; </
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">igitur debet
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ſubduplus; </
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<
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">igitur duplò plures ſunt gradus impetus in C quàm in B, cùm
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ſcilicet ſinguli gradus impetus in B æquiualeant duobus impetus in A:
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his adde aliqua breuia Corollaria, quæ quiſque ex dictis facilè colligere
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poterit. </
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Corollarium
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1.
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">Ex his primò vides perfectam analogiam impetus in omni motu, qui
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reuera explicari non poteſt, niſi detur impetus alio imperfectior: </
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">Porrò
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multa hîc deſiderantur, quæ ad motum in planis inclinatis pertinent, que
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in Tomum ſequentem remittimus; quia potiori iure ad Mathematicam
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ſpectant, quàm ad Phyſicam. </
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Corollarium
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2.
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">Secundò, impetus poſſe in infinitum decreſcere perfectionem quod
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primò conſtat ex eo, quòd infra horizontalem poſſint duci lineæ minùs
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& minùs inclinatæ: ſecundò ex eo, quòd poſſint inter quamlibet inclina
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tam deorſum rectam, & ſuperficiem orbis terræ deſcribi infiniti orbes,
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quorum centrum ſit ſupra centrum terræ, quorum arcus initio faciunt
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minorem, & minorem inclinationem. </
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Corollarium
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3.
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">Tertiò, hinc colliges impetum qui producitur in primo puncto deſ
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cenſus illorum arcuum eſſe prorſus alogum cum illo, qui producitur in
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primo puncto deſcenſus cuiuſlibet rectæ inclinatæ, & illum qui à pro
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ximo puncto verſus punctum contactus in Tangente producitur
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eſſe etiam alogum cum illo, qui in proximo puncto verſus idem pun
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ctum contactus producitur in circumferentia circuli, cuius centrum ſit
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infra centrum terræ, id eſt cuius radius ſit longior radio orbis terræ, </
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Corollarium.
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4.
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<
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">Quartò, quid mirabilius quam ad idem punctum contactus poſſe du
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ci infinitos circulos quorum arcus omnes in eaſdem partes incuruan
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tur, licèt ſint infiniti? </
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<
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">quia ſumpto termino in eodem puncto contactus
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omninò aſcendant ſcilicet ij, qui maiores ſunt orbe terræ, & infiniti, qui
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deſcendunt, ij ſcilicet qui minores ſunt; & vnicus tantùm medius, qui
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nec aſcendat nec deſcendat, qui eſt orbis terræ. </
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Corollarium
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5.
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">Quintò, non poſſe faciliùs globum moueri, quàm in ſuperficie terræ,
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ſi probè læuigata eſſet; </
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<
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">nullum enim eſt planum ſupra ſiue rectum, ſiue
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curuum, quod non aſcendat; </
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<
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">nullum infrà quod non deſcendat: hinc mo
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tus eſſet æquabilis. </
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