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

Table of contents

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[31.] DECLARATIO.
[32.] 13 DEFINITIO.
[33.] 14 DEFINITIO.
[34.] DECLARATIO.
[35.] NOTATO.
[36.] *POSTVLATA.*
[37.] 1 POSTVLATVM.
[38.] 2 POSTVLATVM.
[39.] 3 POSTVLATVM.
[40.] DECLARATIO.
[41.] 4 POSTVLATVM.
[42.] 5 POSTVLATVM.
[43.] DECLARATIO.
[44.] PARS ALTERA DE PROPOSITIONIBVS. 1 THE OREMA. I PROPOSITIO.
[45.] 1 Exemplum.
[46.] DEMONSTRATIO.
[47.] 2 Exemplum.
[48.] DEMONSTRATIO. 1 MEMBRVM.
[49.] 2 MEMBRVM.
[50.] 3 MEMBRVM.
[51.] 3 Exemplum.
[52.] C*ONSECTARIUM*.
[53.] 1 PROBLEMA. 2 PROPOSITIO.
[54.] 1 Exemplum.
[55.] PRAGMATIA.
[56.] 2 Exemplum.
[57.] *PRAGMATIA*.
[58.] 3 Exemplum.
[59.] *PRAGMATIA.*
[60.] *PRAGMATIA ALIVSMODI.*
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          <p>
            <s xml:id="echoid-s5364" xml:space="preserve">
              <pb o="196" file="527.01.196" n="196" rhead="A*DDITA.* S*TAT*. P*ARS QVARTA DE* C*HALIN*."/>
            ris, & </s>
            <s xml:id="echoid-s5365" xml:space="preserve">menti durioris; </s>
            <s xml:id="echoid-s5366" xml:space="preserve">at contra alii duriore ſunt gingiva, teneriore mento.
              <lb/>
            </s>
            <s xml:id="echoid-s5367" xml:space="preserve">conſequens igitur eſt quoſdam equos caput erigere, quoſdam demittere. </s>
            <s xml:id="echoid-s5368" xml:space="preserve">Ve-
              <lb/>
            runtamen ut theorema iſtud generaliter definiamus: </s>
            <s xml:id="echoid-s5369" xml:space="preserve">longius capitellum (ſi
              <lb/>
            pſellium, quâ ſurſum ſuo preſlu tendit tantum conſideremus) non parum af-
              <lb/>
            fert momenti ut equus caput erigat, quamvisalio graviore malo coactus con-
              <lb/>
            tra nonnunquam ſe demittat.</s>
            <s xml:id="echoid-s5370" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5371" xml:space="preserve">Quamobrem conſequens videtur equis, qui capite ſatis arrecto incedunt,
              <lb/>
            quorumq́ue gingivæ non ſit nimia teneritudo, breviora capitella & </s>
            <s xml:id="echoid-s5372" xml:space="preserve">pſellia
              <lb/>
            ſtrictiora eſſe idonea, nam longiora capitella cum laxiore pſellio ſubito fortè
              <lb/>
            adducta quaſi plagam faciunt, & </s>
            <s xml:id="echoid-s5373" xml:space="preserve">equorum ora magis corrumpunt quam
              <lb/>
            breviora ſtrictiori pſellio. </s>
            <s xml:id="echoid-s5374" xml:space="preserve">quæminore quidem impetu eorum pectoriaddu-
              <lb/>
            cuntur & </s>
            <s xml:id="echoid-s5375" xml:space="preserve">tamen parem preſſionis habent efſecientiam. </s>
            <s xml:id="echoid-s5376" xml:space="preserve">Huc adde, longiora
              <lb/>
            pſellia ut B D facileab mento delabi, ut tum equus ſeſſoris imperio non ob-
              <lb/>
            temperet, quod brevioribus pſelliis C D non contingit.</s>
            <s xml:id="echoid-s5377" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5378" xml:space="preserve">Notato & </s>
            <s xml:id="echoid-s5379" xml:space="preserve">hoc. </s>
            <s xml:id="echoid-s5380" xml:space="preserve">cum non erit opus longioribus capitellis quîequus erectior
              <lb/>
            incedat (quod evenitubi mandibulæ teneritudo eadem erit quæ menti) per-
              <lb/>
            beve capitellum uſurpandum, ſcaporum autem longitudinem, quanta com-
              <lb/>
            modiſſi
              <unsure/>
            ma videbitur: </s>
            <s xml:id="echoid-s5381" xml:space="preserve">aſperitatem deinde amplitudine, vel brevitate pſellio-
              <lb/>
            rum pro placito tem perandam.</s>
            <s xml:id="echoid-s5382" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5383" xml:space="preserve">Verumenimverò, quia I*LLVSTRISSIMVS* P*RINCEPS* affectiones
              <lb/>
            has diligentiſſime indagavit, coronidis loco aliam quandam anomaliam de
              <lb/>
            frenis quorum ſcapi & </s>
            <s xml:id="echoid-s5384" xml:space="preserve">capitella proportionalia ſunt annotabo.</s>
            <s xml:id="echoid-s5385" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5386" xml:space="preserve">Cui fini ponatur A B
              <lb/>
              <figure xlink:label="fig-527.01.196-01" xlink:href="fig-527.01.196-01a" number="246">
                <image file="527.01.196-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.196-01"/>
              </figure>
            longior ſcapus ejusq́ue
              <lb/>
            habena B C, A D bre-
              <lb/>
            vior cujus habena D E.
              <lb/>
            </s>
            <s xml:id="echoid-s5387" xml:space="preserve">partes ſupremæ inferio-
              <lb/>
            ribus ſcapis ſtatuantur
              <lb/>
            proportionales. </s>
            <s xml:id="echoid-s5388" xml:space="preserve">quam-
              <lb/>
            vis jam duo iſti ſcapi lõ-
              <lb/>
            giores ob analogiam pa-
              <lb/>
            rem efficiant preſſum,
              <lb/>
            tamen manifeſtum eſt
              <lb/>
            manumnõ eodem utro-
              <lb/>
            bique loco verſari: </s>
            <s xml:id="echoid-s5389" xml:space="preserve">ſed
              <lb/>
            ſi, dum B adducet, ea in
              <lb/>
            C conſiſtat, cum D du-
              <lb/>
            cet oportebit eam ſta-
              <lb/>
            tui in E, ut D E paral-
              <lb/>
            lela ſit contra B C. </s>
            <s xml:id="echoid-s5390" xml:space="preserve">Nam adducta habena ſecundum D C eaalium compre-
              <lb/>
            henderet angulum cum A D quam D E, quæres mutationem aliquamne-
              <lb/>
            ceſſariò inducet.</s>
            <s xml:id="echoid-s5391" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div736" type="section" level="1" n="528">
          <head xml:id="echoid-head561" xml:space="preserve">C*HALINOTHLIPSIS*</head>
          <head xml:id="echoid-head562" xml:space="preserve">FINIS.</head>
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