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

Table of contents

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[111.] DEMONSTRATIO.
[112.] 2 Exemplum obliquorum ponderum.
[113.] DEMONSTRATIO.
[114.] 3 Exemplum.
[115.] DEMONSTRATIO.
[116.] 8 PROBLEMA. 14 PROPOSITIO.
[117.] PRAGMATIA.
[118.] DEMONSTRATIO.
[119.] NOTATO
[120.] 1 C*ONSECTARIUM*.
[121.] 2 C*ONSECTARIUM*.
[122.] 7 THEOREMA. 15 PROPOSITIO.
[123.] DECLARATIO.
[124.] 8 THEOREMA. 16 PROPOSITIO.
[125.] DEMONSTRATIO.
[126.] 9 THEOREMA. 17 PROPOSITIO.
[127.] DEMONSTRATIO.
[128.] C*ONSECTARIUM*.
[129.] 10 THEOREMA. 18 PROPOSITIO.
[130.] C*ONSECTARIUM*.
[131.] HACTENVS RECTORVM PONDERVM GENERA DICTA SVNT; OBLI-QVORVM PROPRIETATES DEINCEPS deſcribendæ ſunt, quarum omnium genera-lem veritatem tanquam fundamentum istud theoremata complectitur. 11 THEOREMA. 19 PROPOSITIO.
[132.] DEMONSTRATIO.
[133.] 1 C*ONSECTARIUM*.
[134.] 2 C*ONSECTARIUM*.
[135.] 3 C*ONSECTARIUM*.
[136.] 4 C*ONSECTARIUM*.
[137.] 5 C*ONSECTARIUM*.
[138.] 6 C*ONSECTARIUM*.
[139.] 7 C*ONSECTARIUM*.
[140.] 8 C*ONSECTARIUM*.
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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-
              <lb/>
            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
              <lb/>
            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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