Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

Table of figures

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              feſquialterâ ratione. </s>
              <s>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. </s>
              <s>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. </s>
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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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              <s>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. </s>
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              <s>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. </s>
              <s>Eſt autem VZ
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              ſinus rectus grad: 60 maior quàm AZ ſinus rectus grad: 30. </s>
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              <s>Cùm
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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. </s>
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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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              <s>Quoniam GP ſinus grad: 30 eſt minor ſinu AP grad: </s>
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