Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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              <pb o="142" file="0204" n="223" rhead="CHRISTIANI HUGENII"/>
            Eodem modo, ſi ex C, vel alio quovis puncto circumfe-
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              <note position="left" xlink:label="note-0204-01" xlink:href="note-0204-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
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                <emph style="sc">OSCILLA-</emph>
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                <emph style="sc">TIONIS</emph>
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            rentiæ E C F, figura ſuſpendatur, eidem pendulo K L iſo-
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            chrona eſſe probabitur. </s>
            <s xml:id="echoid-s3230" xml:space="preserve">Itaque conſtat propoſitum.</s>
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        <div xml:id="echoid-div282" type="section" level="1" n="104">
          <head xml:id="echoid-head130" xml:space="preserve">PROPOSITIO XIV.</head>
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            <s xml:id="echoid-s3232" xml:space="preserve">DAtâ figurâ ſolidâ, & </s>
            <s xml:id="echoid-s3233" xml:space="preserve">lineâ rectâ interminatâ,
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            quæ vel extra figuram cadat, vel per eam
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            transeat; </s>
            <s xml:id="echoid-s3234" xml:space="preserve">divisâque figurâ cogitatu in particulas
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            minimas æquales, à quibus omnibus ad datam re-
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            ctam perpendiculares ductæ intelligantur; </s>
            <s xml:id="echoid-s3235" xml:space="preserve">invenire
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            ſummam omnium quæ ab ipſis fiunt quadratorum,
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            ſive planum, cujus multiplex ſecundum particula-
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            rum numerum, dictæ quadratorum ſummæ æ-
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            quale ſit.</s>
            <s xml:id="echoid-s3236" xml:space="preserve"/>
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            <s xml:id="echoid-s3237" xml:space="preserve">Sit data figura ſolida A B C D, & </s>
            <s xml:id="echoid-s3238" xml:space="preserve">linea recta quæ, per
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              <note position="left" xlink:label="note-0204-02" xlink:href="note-0204-02a" xml:space="preserve">TAB. XXI.
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              Fig. 1.</note>
            punctum E tranſiens, ad planum hujus paginæ erecta intel-
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            ligatur: </s>
            <s xml:id="echoid-s3239" xml:space="preserve">quæque vel ſecet figuram, vel tota extra cadat. </s>
            <s xml:id="echoid-s3240" xml:space="preserve">In-
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            tellectoque, à ſingulis particulis minimis æqualibus, ſolidum
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            A B C D conſtituentibus, velut F, rectas duci perpendi-
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            culares in datam rectam per E, quemadmodum hic F E,
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            oporteat omnium quadratorum F E ſummam invenire.</s>
            <s xml:id="echoid-s3241" xml:space="preserve"/>
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            <s xml:id="echoid-s3242" xml:space="preserve">Secetur figura plano E A C, per dictam datam lineam & </s>
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            per centrum gravitatis figuræ ducto. </s>
            <s xml:id="echoid-s3244" xml:space="preserve">Item aliud planum in-
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            telligatur per eandem lineam datam, perque E G, quæ ipſi
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            eſt ad angulos rectos.</s>
            <s xml:id="echoid-s3245" xml:space="preserve"/>
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            <s xml:id="echoid-s3246" xml:space="preserve">Conſtat jam, quadratum rectæ cujuſque, quæ à particula
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            dictarum aliqua, ad lineam datam per E perpendicularis du-
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            citur, ſicut F E, æquari quadratis duarum F G, F H,
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            quæ, ab eadem particula, in plana per E G & </s>
            <s xml:id="echoid-s3247" xml:space="preserve">E C ante di-
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            cta, perpendiculares aguntur . </s>
            <s xml:id="echoid-s3248" xml:space="preserve">Quare, ſi cognoſcere
              <note symbol="*" position="left" xlink:label="note-0204-03" xlink:href="note-0204-03a" xml:space="preserve">47. lib. 1.
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              Eucl.</note>
            mus ſummam quadratorum, quæ fiunt ab omnibus perpen-
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            dicularibus, quæ à particulis univerſis cadunt in plana dicta
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            per E G & </s>
            <s xml:id="echoid-s3249" xml:space="preserve">E C; </s>
            <s xml:id="echoid-s3250" xml:space="preserve">habebimus etiam huic æqualem </s>
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