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

Table of contents

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[151.] DEMONSTRATIO.
[152.] 1 NOTA.
[153.] 2 NOTA.
[154.] 14 THE OREMA. 23 PROPOSITIO.
[155.] DEMONSTRATIO.
[156.] 15 THEOREMA. 24 PROPOSITIO.
[157.] DEMONSTRATIO.
[158.] C*ONSECTARIUM*.
[159.] 16 THEOREMA. 25 PROPOSITIO.
[160.] 1 Exemplum.
[161.] DEMONSTRATIO.
[162.] 2 Exemplum.
[163.] DEMONSTRATIO.
[164.] 3 Exemplum.
[165.] DEMONSTRATIO.
[166.] 4 Exemplum.
[167.] DEMONSTRATIO.
[168.] 17 THEOREMA. 26 PROPOSITIO.
[169.] DEMONSTRATIO.
[170.] 18 PROBLEMA. 27 PROPOSITIO.
[171.] DEMONSTRATIO.
[172.] C*ONSECTARIUM*.
[173.] NOTATO.
[174.] 19 THEOREMA. 28 PROPOSITIO.
[175.] DEMONSTRATIO.
[176.] C*ONSECTARIUM*.
[177.] FINIS LIBRI PRIMI.
[178.] STATICES LIBER SECVNDVS QVI EST DE INVENIENDO GRAVITATIS CENTRO.
[179.] DE INVENIENDO GRAVITATIS CENTRO IN PLANIS, PARS PRIOR.
[180.] 1 THEOREMA. 1 PROPOSITIO.
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          <head xml:id="echoid-head487" xml:space="preserve">BREVIARIVM</head>
          <head xml:id="echoid-head488" xml:space="preserve">SPARTOSTATICES.</head>
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            <s xml:id="echoid-s4702" xml:space="preserve">NOviſsimis tribus 1 libri Staticæ propoſitionibus ex-
              <lb/>
            poſuimus affectiones ponderum de rectis duabus,
              <lb/>
            quæ duobus diverſis locis fixæ ſunt, dependentium:
              <lb/>
            </s>
            <s xml:id="echoid-s4703" xml:space="preserve">ſed quia ponder a pluribus modis èrectis ſuſpendi poſsint, qua-
              <lb/>
            rum quantũ quæ{q́ue} ferat ſcire expetas, istud ad ſpecialem bunc
              <lb/>
            tractatum retulimus. </s>
            <s xml:id="echoid-s4704" xml:space="preserve">Cum autem linearum vicem funes ple-
              <lb/>
            rumque ſubeant, ab uſu vulg atiſsimo S*PARTO STATI CEN*
              <lb/>
            appellamus, qua appellatione intellig as doctrinam declar antem
              <lb/>
            quantum ponderis diverſorum funium, ex quibus idem cogni-
              <lb/>
            tum pondus dependet, quilibet ſufferat. </s>
            <s xml:id="echoid-s4705" xml:space="preserve">Totius autem argu-
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            menti ſumma hujuſmodi eſt. </s>
            <s xml:id="echoid-s4706" xml:space="preserve">Cum propoſitione 27 lib. </s>
            <s xml:id="echoid-s4707" xml:space="preserve">1 Staticæ
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            demonstratum ſit, columnâ contra duo obliqua pondera in
              <lb/>
            æquilibrio conſtitutâ, eſſe ut linea obliquata ad lineam rectam,
              <lb/>
            ſic pondus obliquè ducens ad pondus ducens rectà, hinc prima
              <lb/>
            istaparte varia deducemus conſectaria, quorum loco propoſi-
              <lb/>
            tiones formare licuit; </s>
            <s xml:id="echoid-s4708" xml:space="preserve">ſed partim brevitatis gratiâ, partim
              <lb/>
            quiaistinc manifeſtiſsime deducuntur, id negotii omiſſum eſt.</s>
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