Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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impulſus. </
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<
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>Nam ſi in lineâ rectâ plures globos diſponas ſibi con
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tiguos & æquales; percuſſo primo ultimus movetur, omni
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bus alijs immotis. </
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<
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>Si ergo primus in ſecundo, hic in tertio
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producit impulſum æqualem illi, quo ipſe moveretur; ſequi
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tur à plagâ, quæ unum movere poteſt, moveri poſſe quolibet
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ſpatio
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abiunctũ
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:
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globos infinitos illam vim extendi,
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infinitam. E contra vero, ſi illâ ſerie continuò dereſcit pla
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ga; ut minor ſit in tertio quàm in ſecundo, et in hoc quàm in
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primo: ſint globi numero 20. & ſingulorum pondus librale.
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habebit ergo pIaga 20-minorem rationem ad totum impul
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ſum quàm ſubuigecuplam; hoc eſt quàm habeat gravitas illius
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globi ad omnium grauitatem collectam. impulſus ergo minor,
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quàm ut moveat pondus librarum 20; maior autem quàm ſit
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reſiſtentia lib: 10 aut 15; percuſſo primo non movebit ulti
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mum. </
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<
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>Nam ſi totus impulſus minor eſt grauitate totâ, erit
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quoq;
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pars impulſûs minor illâ gravitate, quæ in eadem eſt ra
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tione ad totam gravitatem. </
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<
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>Et cùm pars 20 impulſus neque
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at movere pondus lib: 1.
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à plagâ minore quàm ſit pars 20
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movebitur. </
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<
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>Hoc autem eſt contra experientiam. videmus
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enim quovis numero interpoſitis globis æqualibus ultimum
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moveri ex eadem plagâ, æquali cum primo celeritate. </
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<
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>Dein
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de ſi plaga decreſcens nequit ultimum movere; ſunt verò & in
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termedij
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motu; erit plaga infinita in mobili,
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eo
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quòd ullam partem moveat. </
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<
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>Augeatur enim numerus glo
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borum in eâ ratione, in quâ plaga:
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eritq;
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impulſus ab ultimâ
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plagâ in eadem ratione, hoc eſt minori, quàm ut movere poſ
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ſit ultimum globum. </
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<
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>Quod cùm à ratione & experientia ſit
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alienum, dicendum omnes globos, quantumvis numero
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augeantur, ab hoc impulſu peruadi
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ſequitur virtutis fi
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nitæ actionem eſſe inſinitam. non enim ab extra, ſed à princi
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pio interno mobilis producitur impulſus; ut ſuo loco </
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