Marci of Kronland, Johannes Marcus - De proportione motus, seu regula sphygmica ad celeritatem et tarditatem pulsuum

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Problema

Tribus globis in quacunque; diſtantia extra lineam rectam aſſum
ptis, punctum determinare in globo ſecundo, à quo reflexus primus
percutiat tertium.

IN figurà ſubiectà aſſumantur globi s.p.r. in diſtantiâ
sp.pr.rs: oporteatque; in globo p punctum determina
re, ad quod globus s allidens, indeque; reflexus percutiat
globum r. Tangant illos globos lineæ ac. bd in punctis
a.c. b.d, & diuidantur bifariam in punctis e & f; à quibus in
circulum p excurrant lineæ rectæ eg.fg. ſe interſecantes
in puncto reflexionis g, eo modo, quo docent Optici in
uento, & producantur utrinque in k.l, & h. i; dico punctum
g eſſe illud punctum, â quo globus s reflexus percutiat
globumr. Quia enim angulus egd angulo fgc per con
ſtructionem, & angulus egh angulo fgk ad verticem eſt
æqualis; ablatis ex his illis erunt anguli reliqui hgd. kge
æquales: linea ergo ſubtenſa hg eſt æqualis lineæ kg. &
quia linea fd lineæ fb, & angulus dfg eſt æqualis angulo
bfn, erit corda gh æqualis cordæ ni. Similiter oſtende
mus cordam gk æqualem cordæ ml. Ducatur ergo per
contactum â centro p linea pq, atque, ex q circulus de
ſcribatur æqualis circulos, tangens priorem in g, agaturque;
linea qr parallela lineæ gi: quòd ſi ergo globus s motu ſui

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