Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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<
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>Cùm enim TP menſura plagæ, quam recipit orbiculus C
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ex A, ſit minor quàm AP ſinus rectus grad: 60; qui reliquum
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impulſum, quo centrum A moveretur à plagâ, metitur; erit ut
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AP ad PT, ita motûs in A admotum in C. </
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<
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>Quia verò or
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biculus A percutit æqualem D, occurrit verò eidem in lineâ
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centri; dabit plagam perfectam: ac proinde per 1 poriſma A
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quidem à motu conquieſcet, D verò eadem velocitate feretur. </
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<
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>Verùm licet hypomochlium GP eâ ratione impulſum partia
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tur; quia tamen
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plaga fit ſimul; habebit plaga ex A ad
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plagam ex P eam rationem, quam AT ad PT. </
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<
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>Cùm enim
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vectis ſit AT, cuius fulcimentum in T; erit per prop: 3 Gui
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di Vbaldi, ut AT ad PT, ita gravitas appenſain A adean
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dem gravitatem appenſam in P. </
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<
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>At verò eandem rationem
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habet vis ſurſum impellens, quam gravitas deorſum movens:
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quòd gravitas non niſi mediante impulſu agat. </
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<
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>Quòd ſi
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totus impulſus in AT ſit partium 42; & TP pars ſexta AT;
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erit plaga TP in primâ quidem partitione, quam hypomo
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chlium GP inducit, partium 7: impulſus verò reliquus in A
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partium 35. </
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<
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>At verò cùm percuſſio geminatur; plaga ex A
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quidem eſt partium 36, ex P verò partium 6. </
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<
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>Secet nunc orbiculum D, non per centrum, diameter pro
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ducta ex puncto medio inter F&H: in quo eundem percutiat
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alius orbiculus æqualis: dico immoto A
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utrumq;
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orbiculum
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C & D moveri. </
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<
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>Ducantur per contactus GI lineæ hypomo
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chlij eidem diametro parallelæ: quas ſecent lineæ perpendicu
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lares ex A. erit itaq, huic quidem æqualis linea ex G perpendi
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cularis ad eandem diametrum ſinus grad: 45. propterea quod
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GI ſit grad: 60
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huius ſemiſſis VI grad: 30. cuius comple
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mentum 2928992 menſura plagæ in C. </
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<
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>Rurſum quia FI
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eſt grad: 165; erit ſemiſſis ſinus rectus grad: 82 pr:30. cuius </
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