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

Table of figures

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              & FK ad GL. ſunt verò & triangula AMF, ANG,
                <expan abbr="atq;">atque</expan>
              trian­
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              gula AMK. ANL ſimilia. </s>
              <s>Igitur ut AM ad AN, ita MF ad
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              NG, & MK ad NL: ac proinde reſidua KF ad
                <expan abbr="reſiduã">reſiduam</expan>
              LG.
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                <expan abbr="cùmq;">cùmque</expan>
              ſit ut FK ad GL, ita FH ad GI: & ut eadem FK ad GL,
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              ita FM ad GN; erit
                <expan abbr="quoq;">quoque</expan>
              FH ad GI, ut FM ad GN. </s>
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                <expan abbr="Quiàitaq;">Quiàitaque</expan>
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              grauitas mouens ſeu impulſus ad totum impulſum rationem
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              habet,
                <expan abbr="quã">quam</expan>
              GI ad GN, & FH ad FM, hoc eſt
                <expan abbr="ſegmentũ">ſegmentum</expan>
              ſemidiame­
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              tri inter centrum figuræ & hypomochlium, ad ſemidiametrum
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              figuræ motûs per theo. 3. erit in
                <expan abbr="utroq;">utroque</expan>
              triangulo eadem pro­
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              portio motûs inclinati ad motum verticalem. </s>
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                <expan abbr="Cùmq;">Cùmque</expan>
              mo­
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              tus verticales inter ſe ſint æquales; per Axioma 4. erunt
                <expan abbr="quoq;">quoque</expan>
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              motus inclinati inter ſe æquales. </s>
              <s>Et quia FM eſt maior quàm
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              GN, erit FH grauitas movens in triangulo ABC maior, quàm
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              GI grauitas movens in triangulo ADE. </s>
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              THEOREMA XIII.
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              Grauitas quieſcens inæqualium & ſimilium figurarum eſt inæqualis,
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              & inæqualiter grauitat.
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