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

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1datur ergo ex linea tq productà linea tx æqualis lineæ p
u, & ex puncto p, interuallo autem px deſcribatur arcus
xy, connectanturque; linea px: dico quadratum py eſſe
motum mixtum & duratione æqualem motui pq. pr ſi
mul ſumptis. Quia enim quadratum py quadrato px,
hoc autem duobus quadratis pt.tx, ſeu pu eſt æquale: eſt
autem motus pt motui pq, & pu motui pr æqualis dura
tione per prop: 13. erit motus mixtus in py ſimiliter æ
qualis motibus pq & pr ſimul ſumptis. Quòd ſi verò
motus imperfectè mixtus & inæqualis ab. ac ab angulo
incipiat maiori aut minori quam recto bac: aſſuman
tur duo puncta fg æqualiter remota ab a, à quibus pro
tractæ lineæ perpendiculares fh. gh ſe interſecent in h, e
ritque; angulus fhg complementum anguli bac, & ſimul
ſumpti æquales duobus rectis. Deſcribatur ergo ex h
arcus fig, ſeceturque; bifariam in i eà ratione, ut ſinus ik ad
ſinum il ſit, ut motus ab ad motum ac: dico lineam ex a
productam in i eſſe lineam motus mixti. Producatur e
nim fh in p, eritque; angulus fpa complementum anguli f
ap, & angulus aog complementum anguli oag: duo er
go anguli hpo. aog hoc eſt hop, ſimul ſumpti ſunt æqua<l
les duobus angulis fhi: thg ſimul ſumptis, propterea
quód ſint complementa ejuſdem anguli fag, eſt autem
angulus hop externus major angulo iho interno quanti
tate anguli bio, angulus verò iph internus minor

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