Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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rea quòd impulſus reliquus ad plagam continuò maiorem ha
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beat rationem. </
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>Et ſicuti ab intervallo grad: 60 incipit motus
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orbiculi A; ita motus contiguorum terminatur, ubi contactus
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non niſi quadrante circuli abfuerit à plagâ. </
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PROBLEMA V.
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Duo puncta in peripheriâ orbiculi aßignare: in quibus orbiculi ei
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dem contigui eadem cum illo velocitate moveantur.
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>Secetur diameter orbiculi TK in ſex partes æquales. </
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ponamus verò TP
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OK eſſe eiuſmodi ſegmenta: à qui
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bus ducantur lineæ perpendiculares LO. GP. </
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ctis L. G orbiculos EC eadem cum A celeritate moveri. </
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>Cùm enim PT ſit pars tertia AT; habebit plaga in A ad
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plagam in P rationem triplam. </
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impulſus æqua
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lis AT ſit partium 12; erit plagain P partium 4. </
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eidem æqualis plagain O; igitur reliquus impulſus in A erit
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partium 4: ac proinde per poſitionem 4 tres orbiculi A
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CE: eadem velocitate moventur. </
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PROBLEMA VI.
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Duo puncta in peripheriâ orbiculi determinare: à quicus orbiculi
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contigui moveantur, tam ad ſe, quàm ad motum orbiculi his contigui
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in datâ ratione.
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<
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>Sit proportio data motûs orbiculorum contiguorum tri
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pla: motûs verò orbiculi reliqui ad unum ex his ſeſquialtera. </
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<
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ſemidiameter AT in ſex partes æquales: & du
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catur linea à ſecundâ diviſione, quæ à centro, perpendicularis
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producta ad peripheriam: eritq plaga in A ad illam plagamin </
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