Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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THEOREMA VIII.
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Motus Trianguli Iſogoni ad baſim, non verò ad planum perpendi
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cularis, ſi in baſim moveatur, uno latere eidem plano par alle
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lo, ad angulos æquales reſtectit.
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>In 2 figurâ moveatur triangulum
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bcd
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in baſim
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cd,
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ſectam
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bifariam & æqualiter à motu centri in
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a.
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latus
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bd
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paral
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lelum plano: Dico in hoc caſu triangulum
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bcd
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motu reflexo
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angulum conſtituere æqualem illi, quem facit cum eodem pla
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no huius lapſus. </
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>Excitetur enim linea hypomochlij
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cf,
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du
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ctâ lineâ à centro perpendiculari
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ai.
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quia
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ex demonſtra
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tis plaga eſt æqualis quadrato
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ci,
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& grauitas mouens centri
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æqualis quadrato
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ai:
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eſt autem plaga, & qui hanc ſequitur mo
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tus reflexus in lineâ
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ac
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per 1 theor: motus verò centri in lineâ
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tangente circuli centro
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c
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interuallo
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ac
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deſcripti, paralle
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la nimirum plano
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eg:
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ſi fiat ut
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ci
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ad
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ai,
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ita
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cl
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ad
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cm;
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erit mo
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tus medius
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cn
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diameter parallclogrammi
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clmn:
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Dico angu
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lum
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ncm
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eſſe æqualem angulo
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fce.
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Quia enim recta
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ac
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per </
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