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

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            <p type="main">
              <s>
                <pb xlink:href="063/01/057.jpg"/>
              ut AF menſura plagæ ad EF reſiduum impulſum, ita circulus
                <lb/>
              H, ad quadratum ABCD: erit permutando AF ad H, ut FE
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              ad ABCD: ac proinde per poſit. 4. eadem velocitas motûs in
                <lb/>
                <expan abbr="utrâq;">utrâque</expan>
              figurâ. </s>
              <s>Quadratum ergo ABCD nullam à circulo per­
                <lb/>
              cuſſo recipit plagam. </s>
              <s>Et quia præpondium eſt in E, propterea
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              quòd impulſus in AF defecit ex illâ plagâ; neceſſe librationem
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              fieri in G. </s>
              <s>Nequit autem revolui centrum E, niſilatus AB ſe­
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              cet circulum H, aut hic à plagâ velociùs ſe abducat. </s>
              <s>Quia ve­
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              rò eadem velocitas motûs, neceſſe motum in E per lineam fi­
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              eri parallelam lateri AB. </s>
            </p>
            <figure id="id.063.01.057.1.jpg" xlink:href="063/01/057/1.jpg" number="25"/>
            <p type="main">
              <s>
                <emph type="center"/>
              LEMMA II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si figura maior in motu percutiat minorem; habeat verò ſegmentum
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              ſemidiametri figuræ motûs, quod eſt inter lineam hypomochlij & extre­
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              mum motûs, minorem rationem ad alterum ſegmentum, quod eſt inter
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              eandem lineam hypomochlij & figuræ centrum, quàm habeat figura
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              minor ad maiorem, motus figuræ maioris erit parallelus lineæ mediæ
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              inter tangentem circuli, & lineam productam à centro maioris ad con­
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              tactum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Habeat AF ad FE
                <expan abbr="minorẽ">minorem</expan>
                <expan abbr="rationẽ">rationem</expan>
              , quàm circulus H ad qua­
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              dratum ABCD: dico, motum E figuræ maioris eſſe
                <expan abbr="parallelũ">parallelum</expan>
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              lineæ GK mediæ inter GB & GE. </s>
              <s>Quia enim minorem ra­
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              tionem habet AF ad FE, quàm circulus H ad quadratum
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              ABCD; & permutando AF ad H, quàm FE ad ABCD, mi­
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              nori velocitate movebitur ex illâ plagà circulus H, quàm
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              quadratum ABCD: eandem ergo recipit à circulo percuſſo,
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              quam dedit plagam. </s>
              <s>Et quia præpondium in E; ob tardita­
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              tem motûs circuli ad lineam determinatur parallelam lateri
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              AB per 1. Lemma: impulſum verò recipit à circulo H per </s>
            </p>
          </chap>
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