Marci of Kronland, Johannes Marcus
,
De proportione motus, seu regula sphygmica ad celeritatem et tarditatem pulsuum
,
1639
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neam inclinatam
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ade:
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quia ergo motus
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ad
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motui
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ab,
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&
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motus
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ae
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motui
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ac
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eſt æqualis ut prop: 13. oſtendemus:
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ſunt autem duo triangula
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dab. eac
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ſimilia inter ſe, erit
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ut
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bc
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ad
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ba,
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ita
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de
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ad
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da,
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incrementa nimirum velocita
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tis motus in linea perpendiculari & lineà inclinata. </
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crementa ergo velocitatis eadem ratione fiunt &c. </
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Propoſitio XI.
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Impulſus in quolibet motu ſeu recto, ſeu inclinato eſt major gra
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uitate.
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<
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">MOtum in quolibet puncto lineæ perpendicularis
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eſſe majorem ſuà grauitate nullum eſt dubium:
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nam cùm velocitas cum ipſo motu incipiat augeri, ſicu
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ti à principio eſt æqualis grauitati, ita in progreſſu erit
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major grauitate. </
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<
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tam dubitari poteſt: propterea quód à grauitate fiat im
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pedità, ac proinde minori: id tamen hac ratione oſten
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demus. </
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<
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à ſuà velocitate, quò magis hæc inclinatur,
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; ſinus an
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guli inclinationis idem qui grauitatis exceſſus: uti
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prop: 14. oſtendemus: grauitas ergo per lineam perpen
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dicularem ad grauitatem per lineam inclinatam, ut ſi
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nus totus ad ſinum complementi anguli inclinationis,
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ac proinde ut linea
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ab
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ad linea
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ad.
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at verò velocitas in
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b
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