Marci of Kronland, Johannes Marcus - De proportione motus figurarum recti linearum et circuli quadratura ex motu

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1efc, nimirum rectus, maior eſt angulo incidentiæ dcf; motus
trianguli in eo ſitu ad angulos reflectit inæquales.

THEOREMA X.

Si motus Quadrati obliquè, huius autem diameter ad angulos re
ctos ſecet planum; ad angulos æquales reflectit.

Motus Quadrati abcd ſecet obliquè planum el, diameter
verò ag ad angulos rectos: dico motum reflexum ab hoc pla
no angulum conſtituere æqualem angulo incidentiæ. Sit enim
ap hypomochlij, & gh linea ad eam perpendicularis: eritque
ex iam demonſtratis quadratum hg motus centri, & ah eiuſdem
plaga. Et quia percuſsic in ag, erit motus reflexus in eadem
hneâ ag: motus autem centri in lineâ plano el parallelâ. quòd
ſi itaque fiat ut ah ad hg, ita af ad ak, erit motus medius ai, & an
gulus reflexionis iak: quem dico eſſe æqualem angulo eap.
Quia enim diameter ag ſecat planum in a ad angulos rectos;
erit angulus eag æqualis angulo kag. ſunt auté per conſtructio
nem ſimilia triangula gha. afi; & angulus gah æqualis angu
lo fai; igitur angulus reliquus eap eſt æqualis angulo reliquo
iak angulus nimirum incidentiæ angulo reflexionis:

28[Figure 28]

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