Marci of Kronland, Johannes Marcus
,
De proportione motus, seu regula sphygmica ad celeritatem et tarditatem pulsuum
,
1639
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Lemma I.
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Si aſſumantur arcus in ratione continuà, quam habent ſinus
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intercipientes illos arcus, major erit proportio inter arcus poſterio
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res, quam inter arcus priores.
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<
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bd,
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ſinu
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ab
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&
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cd
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interceptus, in eadem ratio
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ne ad arcum
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df
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ſinu
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cd
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&
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ef
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interceptum, in quà ſi
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nus
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ab
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ad ſinum
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cd:
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& rurſum arcus
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df
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àd arcum
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fh,
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ut
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ſinus
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cd
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ad ſinum
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ef
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; dico proportionem tam inter ſi
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nus, quam inter arcus illis ſinubus interceptos conti
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nuò fieri majores, nimirum proportionem ſinus
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cd
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ad
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ſinum
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ef,
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& arcus
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df
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ad arcum
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fh
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eſſe majorem, quam
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ſinus
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ab
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ad
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cd,
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aut arcus
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bd
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ad
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df.
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Aſſumatur enim ar
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cus
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bd
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grad: 9.
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;
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ab
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100000. ſinus totus,
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cd
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autem
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98769.
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ſinus grad.
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81.
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quòd ſi ergo fiat ut
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ab
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ſinus totus ad
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9, ita ſinus grad.
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81.
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ad aliud, prodibit arcus 8 in datâ ra
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tione, quam habet ſinus
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ab
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ad
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cd,
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ſi minutias omittamus.
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Simili modo ſi fiat ut ſinus
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cd
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grad:
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81
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ad arcum
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df
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grad.
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8, ita ſinus
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ef
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grad.73 ad aliud, prodibit arcus
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fh
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grad. 7.
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; ita conſequenter inuenientur arcus reliqui, quos di
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co majorem rationem habere ad arcus proximè ſequen
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tes, quam ad hos habeant arcus proximè antecedentes.
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Eſt enim major proportio grad. 8 ad 7, quam grad. 9 ad
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8: & grad. 4 ad 3, quam grad. 5 ad 4.
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, eadem eſt ratio </
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