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

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              <s>
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              plagæ. </s>
              <s>Et quia motus centri fit per lineam
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              di
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              tangentem cir­
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              culi centro
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              a
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              deſcripti per prop: 4: motus autem reflexus à
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              plagâ per lineam
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              dg
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              per 5 theor. 2 part. ſi fiat ut
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              de
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              ad
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              ea
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              ita
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                <emph type="italics"/>
              di
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              ad
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              dg,
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              erit per prop: 32 motus medius
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              dh
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              diameter pa­
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              rallelogrammi
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              aihg:
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              ac proinde motus reflexus in partem
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                <emph type="italics"/>
              kc
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              ſegmenti maioris. </s>
            </p>
            <figure id="id.063.01.063.1.jpg" xlink:href="063/01/063/1.jpg" number="26"/>
            <p type="main">
              <s>
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              THEOREMA III.
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              </s>
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            <p type="main">
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              Motus Quadrati perpendicularis ad planum, ſi æqualiter ſecet an­
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              gulum, aut latus eiuſdem quadrati, in ſe ipſum reflectit.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Incidat plano
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              ax
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              perpendiculariter Quadratum
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              abcd:
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                <expan abbr="ſe-cetq;">ſe­
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                cetque</expan>
              motus centri
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              f
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              latus
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              ad
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              aut angulum
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              adc
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              in duas par.
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              tes æquales: dico, hunc motum in ſe ipſum reflecti. </s>
              <s>Nam in
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              primâ figurâ, quia coincidit motus centri, & plaga in eandem
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              lineam
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              fd;
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              erit motus à percuſſione in viâ centri: ac proinde
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              in ſe ipſum reflexus. </s>
              <s>Infigurâ autem ſecundâ plaga fit per lineas
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                <emph type="italics"/>
              fa. fe. fd.
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              per 4. theorema 2 part: & à plagâ quidem in
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              fe,
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              quòd
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              hæc ſit via centri, motus in ſe ipſum reflectit: à plagâ verò in
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                <emph type="italics"/>
              fa
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              &
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              fd,
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              in partes oppoſitas
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              fc. fb
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              agitur centrum grauitatis
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              per 1 theor: & quia angulus
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              bfc
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              eſt minor duobus rectis, ac
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              proinde motus in
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              fc. fb
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              per definit. 4 ſubcontrarij; ob æqua­
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              les verò plagas
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              af. df
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              inter ſe æquales; erit per prop: 32 mo­
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              tus medius in lineâ
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              fg.
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              Cùm ergo hæc ſit via centri, motus
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              Quadrati in ſe ipſum reflectit. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA IV.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
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              Motus Quadrati perpendicularis ad planum, inæqualiter autem
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              ſecans angulum ſeu baſim, reflectit in partem ſegmenti maioris.
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              </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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