Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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THEOREMA II.
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Si duo Orbiculi ſimul iuncti & æquales percutiant alium maiorem,
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duobus autem illis ſimul ſumptis æqualem; orbiculo ſuperiori reflexo,
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motum continuat baſis.
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>Difficultas hic eſt, quòd cùm orbiculus ſolidus percutit ali
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um ſibi æqualem, illo moto quieſcit: cur igitur non idem fit,
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cùm duo ſimul iuncti,
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eidem æquales hunc percutiunt, ve.
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rùm
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inæqualiter movetur ex illâ plagâ? Nam eodem
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impulſu agi videntur: neceſſe ergo eandem inferre plagam:
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Et cùm gravitas orbiculi maioris ſit dupla, & impulſum reci
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piat duplum illius, quo ſinguli moventur; erit
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eadem ve
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locitas motûs. </
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>At verò ſi baſis ſequitur motum maioris; ne
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ceſſe huius motum eſſe velociorem quàm baſis motum: quæ
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ab incipiente & necdum perfectâ plagâ movetur. </
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>Et ſi refle
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ctit alter orbiculus: quia peractâ huius plagâ necdum incipit
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moveri maior; velocitatem habebit minorem. </
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>Pro ſolutione
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dico, impulſum in
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orbiculo eſſe æqualem. </
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<
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>Secundô inæqualiter moveri,
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impediri motum baſis
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per 1 Theor: huius; & cùm impulſum determinet motus; ma
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iori tempore plagam perficiet baſis. </
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<
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>Cùm ergò maior orbi
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culus gravitatem habeat duplam; ad illam velocitatem mo
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tûs, non niſi ab impulſu duplo perducitur: perfectâ autem pla
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gâ unius orbiculi, necdum percuſſit alter:
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igitur ex illâ
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plagâ ſe abducit orbiculus maior: ac proinde orbiculus, qui
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iam percuſſit, reflectit. </
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>Et quia minor eſt velocitas motûs
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baſis, velociùs movebitur ab
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plagâ. igitur ad illam ve
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locitatem, quâ movetur baſis, ab incipiente & necdum perfe
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ctâ huius plagâ perducetur: ac proinde reliquus impulſus mo
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tum continuabit. </
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>Idem autem fit, ſi alter orbiculus ſit paulo </
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