Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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          <pb o="132" file="527.01.132" n="132" rhead="4 L*IBER* S*TATIC Æ*"/>
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        <div xml:id="echoid-div546" type="section" level="1" n="393">
          <head xml:id="echoid-head410" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s3895" xml:space="preserve">Columnæ baſis pedum 12, altitudinis 3, ſoliditas eſt 36 pedum ſemiſſis 18.
              <lb/>
            </s>
            <s xml:id="echoid-s3896" xml:space="preserve">rale autem corpus inſidet, per 11 propoſ. </s>
            <s xml:id="echoid-s3897" xml:space="preserve">fundo A B C D primi exempli. </s>
            <s xml:id="echoid-s3898" xml:space="preserve">Itaque
              <lb/>
            ſuſtinet pondus 18 pedum. </s>
            <s xml:id="echoid-s3899" xml:space="preserve">Cæterorum exemplorum demonſtratio huic ger-
              <lb/>
            mana eſt.</s>
            <s xml:id="echoid-s3900" xml:space="preserve"/>
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        <div xml:id="echoid-div547" type="section" level="1" n="394">
          <head xml:id="echoid-head411" xml:space="preserve">1 C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s3901" xml:space="preserve">Ex quo perſpicitur latere parallelogrammi etiam infra aquam abdito, quo
              <lb/>
            ratiocinio pondus aqueum ipſi inſidens concludi poſſit. </s>
            <s xml:id="echoid-s3902" xml:space="preserve">nam additâ, ad pondus
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            ſupra inventum, columnâ cujus baſis ſit iſtud fundum, & </s>
            <s xml:id="echoid-s3903" xml:space="preserve">altitudo perpendicu-
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            laris à ſupremo fundi latere in ſummam aquę ſuperficiem totum hoc erit opta-
              <lb/>
            tum.</s>
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          <figure number="186">
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            <s xml:id="echoid-s3905" xml:space="preserve">Exemplum tale eſto. </s>
            <s xml:id="echoid-s3906" xml:space="preserve">Quadranguli A B C D latus
              <lb/>
            ſupremum A B infra aquæ ſummam ſuperficiem E F
              <lb/>
            conſiſtat, perpĕdicularis G A, ab A ad ſuperficiem E F,
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            pedum 3, area parallelogrammi A B C D 20. </s>
            <s xml:id="echoid-s3907" xml:space="preserve">Iam quod-
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            ſi A B in ſumma aquæ ſuperficie ſtatuatur, tum ipſi
              <lb/>
            40 cubicos aqueos pedes inſidere tanquam perantece-
              <lb/>
            dentem doctrinam concluſum aſſumo; </s>
            <s xml:id="echoid-s3908" xml:space="preserve">quæritur igitur
              <lb/>
            quot nunc ſuſtineat@ multiplicato plano A B C D 20
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            pedum in altitudinem G A 3 fit columna 60 pedum,
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            quæ compoſita cum 40 exhibet 100 pedes, quorum pondere A B C D fun-
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            dum prematur.</s>
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        <div xml:id="echoid-div548" type="section" level="1" n="395">
          <head xml:id="echoid-head412" xml:space="preserve">2 C*ONSECTARIUM*.</head>
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            <s xml:id="echoid-s3910" xml:space="preserve">Atque cum fundum irregulare dabitur, invenito per 13 propoſ aqueam mo-
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            lem ponderi fundo illi inſidenti æqualem; </s>
            <s xml:id="echoid-s3911" xml:space="preserve">ex cujus dimenſione deinde quæſi-
              <lb/>
            tam gravitatem concludas.</s>
            <s xml:id="echoid-s3912" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div549" type="section" level="1" n="396">
          <head xml:id="echoid-head413" xml:space="preserve">5 PROBLEMA. 16 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s3913" xml:space="preserve">Si parallelogrammi ad horizontem inclinati, cujus ſu-
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            premum latus in aquæ ſuperficie ſumma conſiſtat, duæ
              <lb/>
            perpendiculares altera à ſummo in latus imum, altera in-
              <lb/>
            didem in planum per imum latus horizonti parallelum,
              <lb/>
            cum põdere quod ipſi inſidet nota ſint; </s>
            <s xml:id="echoid-s3914" xml:space="preserve">ſummum ejuſdem
              <lb/>
            latus invenire.</s>
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        <div xml:id="echoid-div550" type="section" level="1" n="397">
          <head xml:id="echoid-head414" xml:space="preserve">1 Exemplum.</head>
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            <s xml:id="echoid-s3916" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s3917" xml:space="preserve">Quadrangulo rectangulo A B C D ad horizontem recto, cujus
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            ſummi lateris A B in aquæ ſuperficie ſuprema conſiſtentis lon-
              <lb/>
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                <image file="527.01.132-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.132-02"/>
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            gitudo ignoratur, incumbat moles aquea ponderis 18 pedum,
              <lb/>
            atque A D ſit 3. </s>
            <s xml:id="echoid-s3918" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s3919" xml:space="preserve">Lateris A B longitudinem
              <lb/>
            invenire.</s>
            <s xml:id="echoid-s3920" xml:space="preserve"/>
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        <div xml:id="echoid-div552" type="section" level="1" n="398">
          <head xml:id="echoid-head415" xml:space="preserve">CONSTRVCTIO.</head>
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            <s xml:id="echoid-s3921" xml:space="preserve">Diviſis 18 per quadratum A D 3, redibunt 2, cujus duplum
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            4 pedes, lateris A D longitudinem definiunt.</s>
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