Ceva, Giovanni, Geometria motus, 1692

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            <p type="main">
              <s id="s.000496">
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              lius motus deſcribentis curuam parabolicam, cuius baſis
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              ad axem eius habet eandem rationem, quam duplus axis
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              propoſitæ hyperbolæ ad ductam illam
                <expan abbr="æquidiſtãtem">æquidiſtantem</expan>
              inter
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              eiuſdem hyperbolæ aſſymptotos interiectam. </s>
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            <p type="margin">
              <s id="s.000497">
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                <emph type="italics"/>
              Tab.
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              5.
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              fig.
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              2.</s>
            </p>
            <p type="main">
              <s id="s.000498">Hyperbolæ IRS ſit centrum H, ſemiaxis HI, aſſymptoti
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              HT, NH, et SN parallela HI; tùm ducta HM ſecunda dia­
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              metro hyperbolæ, intelligatur deſcriptio parabolæ AFD;
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              itaut duplus axis hyperbolæ, hoc eſt quadruplum ipſius
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              HI ad NT eandem habeat rationem, quam DB baſis pa­
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              rabolæ ad BA axim eiuſdem. </s>
              <s id="s.000499">Dico quadrilineum HISM
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              eſſe imaginem velocitatum, iuxta quam motu compoſito
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              deſcribitur parabola AFD; & cum ſit homogenea imagi­
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              nibus HILM, HTM, eſſe quoque rectangulum HDLM ad
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              imaginem ipſam HISM vt recta CA ad curuam AFD.
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              </s>
              <s id="s.000500">Fiat rectangulum ACDB, et HM ſit tempus, quo curritur
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              vtrunque latus AB, AC, nempe axis AB motu grauium
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              iuxta imaginem triangulum HTM, alterum verò latus AC
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              æquabili motu iuxta imaginem rectangulum HILM, quod
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              quidem erit HILM; etenim AB ad ſpatium AC eſt vt ima­
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              go triangulum HMT ad imaginem rectangulum HILM,
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              ſcilicet eſt vt MT ad duplam HI, vel vt NT ad quadru­
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              plam HI, quemadmodum poſuimus. </s>
              <s id="s.000501">Iam monſtrauimus
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              lineam, quæ curritur iuxta illas imagines motu compoſito
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              parabolam eſſe, cuius diameter AB, & baſis BD; & pro­
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              pterea erit ipſa AFD (nam vnica tantum parabola ex
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              datis AB, BD poſitione, ac magnitudine, axi ſcilicet, ac
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              baſi dari poteſt) Ducatur nunc à quolibet puncto F dictæ
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              parabolæ rectæ FE, FG parallelogrammum conſtituentes
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              AEFG; & P ſit momentum, quo mobile punctum inueni­
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              tur in F. </s>
              <s id="s.000502">Habebit inibi ipſo temporis momento P veloci­
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              tatem PQ iuxta directionem GF, ſunt verò iſtæ directiones
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              ſibi ipſis perpendiculares; ergo recta, quæ diameter eſſet
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              rectanguli AEFG, & ob id potentiâ æqualis duabus PK,
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              PQ erit gradus velocitatis, quem mobile habet momen-</s>
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          </chap>
        </body>
      </text>
    </archimedes>
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