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

Table of contents

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[161.] DEMONSTRATIO.
Page: 46 (46)
[162.] 2 Exemplum.
Page: 46 (46)
[163.] DEMONSTRATIO.
Page: 46 (46)
[164.] 3 Exemplum.
Page: 47 (47)
[165.] DEMONSTRATIO.
Page: 47 (47)
[166.] 4 Exemplum.
Page: 47 (47)
[167.] DEMONSTRATIO.
Page: 47 (47)
[168.] 17 THEOREMA. 26 PROPOSITIO.
Page: 47 (47)
[169.] DEMONSTRATIO.
Page: 48 (48)
[170.] 18 PROBLEMA. 27 PROPOSITIO.
Page: 48 (48)
[171.] DEMONSTRATIO.
Page: 49 (49)
[172.] C*ONSECTARIUM*.
Page: 49 (49)
[173.] NOTATO.
Page: 49 (49)
[174.] 19 THEOREMA. 28 PROPOSITIO.
Page: 49 (49)
[175.] DEMONSTRATIO.
Page: 50 (50)
[176.] C*ONSECTARIUM*.
Page: 51 (51)
[177.] FINIS LIBRI PRIMI.
Page: 51 (51)
[178.] STATICES LIBER SECVNDVS QVI EST DE INVENIENDO GRAVITATIS CENTRO.
Page: 53
[179.] DE INVENIENDO GRAVITATIS CENTRO IN PLANIS, PARS PRIOR.
Page: 56 (56)
[180.] 1 THEOREMA. 1 PROPOSITIO.
Page: 56 (56)
[181.] 1 Exemplum.
Page: 56 (56)
[182.] DEMONSTRATIO.
Page: 56 (56)
[183.] 2 Exemplum.
Page: 56 (56)
[184.] DEMONSTRATIO.
Page: 57 (57)
[185.] 3 Exemplum.
Page: 57 (57)
[186.] DEMONSTRATIO.
Page: 57 (57)
[187.] 2 THEOREMA. 2 PROPOSITIO.
Page: 57 (57)
[188.] DEMONSTRATIO.
Page: 57 (57)
[189.] 1 PROBLEMA. 3 PROPOSITIO.
Page: 58 (58)
[190.] PRAGMATIA.
Page: 58 (58)
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        <div xml:id="echoid-div646" type="section" level="1" n="465">
          <head xml:id="echoid-head493" xml:space="preserve">4 C*ONSECTARIVM*.</head>
          <p>
            <s xml:id="echoid-s4737" xml:space="preserve">Verumenimverò ut propiùs ad ra-
              <lb/>
            tionem ponderum è funibus depen-
              <lb/>
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                <image file="527.01.162-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.162-01"/>
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            dentium accedamus; </s>
            <s xml:id="echoid-s4738" xml:space="preserve">columna A B
              <lb/>
            paulum infra deſcĕdat utin hâc figu-
              <lb/>
            râ, & </s>
            <s xml:id="echoid-s4739" xml:space="preserve">per 3 poſtulatum hoc loco non
              <lb/>
            erit ponderis diverſi ab antecedente,
              <lb/>
            ubi ſublimiùs pendebat. </s>
            <s xml:id="echoid-s4740" xml:space="preserve">Itaque etiam
              <lb/>
            proportio 3 conſectario expoſita in
              <lb/>
            hoc 4 ſine ulla varietate etiamnum
              <lb/>
            permanet.</s>
            <s xml:id="echoid-s4741" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div648" type="section" level="1" n="466">
          <head xml:id="echoid-head494" xml:space="preserve">5 C*ONSECTARIVM*.</head>
          <p>
            <s xml:id="echoid-s4742" xml:space="preserve">Tandem in locum columnæ 4 conſectarii aliud pondus ipſi æquale ſubſtitui-
              <lb/>
            tor, ſed formæ & </s>
            <s xml:id="echoid-s4743" xml:space="preserve">gravitatis materiæ cujuſliber, ut hîc AB. </s>
            <s xml:id="echoid-s4744" xml:space="preserve">atque etiamnum
              <lb/>
            ratum eſt, & </s>
            <s xml:id="echoid-s4745" xml:space="preserve">perſpicuum C I eſſe ad
              <lb/>
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            C H, ut pondus A B ad partem quæ
              <lb/>
            pertinet ad D. </s>
            <s xml:id="echoid-s4746" xml:space="preserve">Item ut C I ad I H,
              <lb/>
            ſic pondus A B ad id quod ex E
              <lb/>
            ſuſtinetur, denique ut C H ad HI
              <lb/>
            ſic pondus ex D ad id quod ex E.</s>
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          <p>
            <s xml:id="echoid-s4748" xml:space="preserve">Vnde in promptu erit, ſi ex D C E
              <lb/>
            tanquam fune dependeat notũ pon-
              <lb/>
            dus AB, notiq́ue ſint anguli F C D,
              <lb/>
            F C E, concludere quantum ponderis quilibet iſtorum DC, CE perferat.</s>
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          <head xml:id="echoid-head495" xml:space="preserve">6 C*ONSECTARIVM*.</head>
          <p>
            <s xml:id="echoid-s4750" xml:space="preserve">Si verò eodem modo è lineis duo pluravé pondera dependeant, ut in ſubje-
              <lb/>
            ctâ figurâ A B C D E F, cujus extima firmitudinis puncta ſint A, F, è qua li-
              <lb/>
            nea quatuor pondera G, H, I, K ſuſpenſa ſint, etiam ponderis potentiam ab il-
              <lb/>
              <figure xlink:label="fig-527.01.162-03" xlink:href="fig-527.01.162-03a" number="219">
                <image file="527.01.162-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.162-03"/>
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            larum quinque linearum ſingulis AB, BC, CD, DE, EF dependentem
              <lb/>
            inveniri poſſe manifeſtum eſt: </s>
            <s xml:id="echoid-s4751" xml:space="preserve">namq́ue cõtinuata ſurſum dicis gratiâ, G B in </s>
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