Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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ratio EO maioris ad OD minorem, quàm FP minoris ad PD
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maiorem. </
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<
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>Et componendo ED ad OD, quàm FD ad PD. </
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autem ut ED ad OD, ita motus verticalis ad motum inclina
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tum in plano CAK. </
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>Et ut FD ad PD, ita idem motus vertica
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lis ad motum inclinatum in plano CAI, per theorem 10. </
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motus inclinatus in plano CAI ſit magis ſimilis verticali,
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erit velocior motu inclinato in plano CAK. </
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THEOREMA XII.
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Grauitas movens inæqualium & ſimilium figurarum in eodem pla
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no inclinato, eſt inæqualis & æqualiter mouet.
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<
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>Moueantur in plano AC duo triangula ABC maius, & A
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DE minus: & ex angulis EC ducantur lineæ EP. CO paralle
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læ verticali AQ: lineæ verò FG. CF per illorum centra GF.
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quæ per problema theorem: 1 erunt perpendiculares ad baſim
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AB
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exijſdem centris FG cadant lineæ FM. GN. perpen
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diculares ad AQ. Quoniam
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triangula CFH. EGI, & tri
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angula CFK. EGL ſunt ſimilia: erit CF ad EG, ut FH ad GI </
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