Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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feſquialterâ ratione. </
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<
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>Rurſum verò ſecentur illa quatuor ſe
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gmenta reliqua in tres partes æquales: & ab ultimâ ſectione,
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quæ ad peripheriam, ducatur perpendicularis:
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prior
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plaga ad hanc in ratione triplâ. </
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>Quòd ſi itaq, in alterâ ſemidi
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ametro uni ſegmento ſumatur æquale; & ducatur perpendicu
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laris ad peripheriam; inventa erunt duo puncta, à quibus or
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biculi impulſi moveantur in datâ ratione. </
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THEOREMA XVIII.
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Si orbiculum Atangat alius æqualis Q ad intervallum grad: 30 à di
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ametro HI; percutiat verò eundem æqualis H; motus centri'ex illâ pla
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gâ non dimovetur à lineâ HI.
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<
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>Ductâ ex V perpendiculari VZ: erit AZ ſinus rectus grad:
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30, ſemiſſis radij AT: motus vero in A æqualis plagæ in V. </
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<
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>Producatur TQ parallela VZ:
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AQ ad AT, ut AV
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ad AZ & VQ ad TZ. ſed ut AQ ad AT, ita TQ ad VZ: &
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permutando TQ ad VQ, ut VZ ad TZ. </
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<
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ſinus rectus grad: 60 maior quàm AZ ſinus rectus grad: 30. </
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motus in A ſit æqualis AZ; erit velocior motus in
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VQ, quo centrum Q à contactuſe abducit, quàm ut aliquod
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punctum inter VT ipſum conſequi valeat. non igitur cen
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trum A dimovetur à lineâ rectâ AI. </
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THEOREMA XIX.
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Si orbiculum A tangat alius æqualis C adintervallum grad: 60 à di
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ametro HI, percutiat verò eundem æqualis in H; motus centri A ſit per
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tangentem circuli, cuius centrum eſt contactus orbiculi C.
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<
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>Quoniam GP ſinus grad: 30 eſt minor ſinu AP grad: </
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