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

Table of contents

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[Item 1.]
[2.] TOMVS QVARTVS MATHEMATICORVM HYPOMNEMATVM DE STATICA. Quo comprehenduntur ea in quibus ſeſe exercuit ILLVSTRISSIMVS Illuſtriſsimo & antiquiſsimo ſtemmate ortus Princeps ac Dominus M*AURITIUS* Princeps Auraicus, Comes Naſſoviæ, Catti melibocorum, Viandę, Moerſii, & c. Marchio Veræ & Vliſſingæ, & c. Dominus Civitatis Gravæ & ditionis Cuyc, Civitatum Vyt, Daesburch, & c. Gubernator Geldriæ, Hollandiæ, Zelandiæ, Weſ@friſiæ, Zutphaniæ, Vltrajecti, Tranſiſalanæ, & c. Imperator exer-citus Provinciarum fœdere conſociata-rum Belgii, Archithalaſſus Generalis, & c. Conſcriptus à S*IMONE* S*TEVINO* Brugenſi.
[3.] LVGODINI BATAVORVM, Ex Officinâ Ioannis Patii, Academiæ Typographi. Anno cI@ I@ cv.
[4.] BREVIARIVM.
[5.] LIBER PRIMVS STATIC AE DE STATICÆ ELEMENTIS.
[6.] LIBRI I.
[7.] PARS PRIOR DE DEFINITIONIBVS. I DEFINITIO.
[8.] DECLARATIO.
[9.] 2 DEFINITIO.
[10.] DECLARATIO.
[11.] 3 DEFINITIO.
[12.] DECLARATIO.
[13.] 4 DEFINITIO.
[14.] DECLARATIO.
[15.] 5 DEFINITIO.
[16.] DECLARATIO.
[17.] NOTATO.
[18.] 6 DEFINITIO.
[19.] DECLARATIO.
[20.] 7 DEFINITIO.
[21.] DECLARATIO.
[22.] 8 DEFINITIO.
[23.] DECLARATIO.
[24.] 9 DEFINITIO.
[25.] DECLARATIO.
[26.] 10 DEFINITIO.
[27.] DECLARATIO.
[28.] 11 DEFINITIO.
[29.] DECLARATIO.
[30.] 12 DEFINITIO.
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              <pb o="7" file="527.01.007" n="7" rhead="*DE* S*TATICÆ ELEMENTIS.*"/>
            neceſſarium duximus quamvis rectam infinitam per centrum diametrum gravita-
              <lb/>
            tis appellare, distinguere{q́ue} inter pendulam, & </s>
            <s xml:id="echoid-s99" xml:space="preserve">non pendulam diametrum: </s>
            <s xml:id="echoid-s100" xml:space="preserve">unde
              <lb/>
            etiam diſcrimen inter 5 & </s>
            <s xml:id="echoid-s101" xml:space="preserve">13 definitionem bujus & </s>
            <s xml:id="echoid-s102" xml:space="preserve">ſuperior is edition is nature
              <unsure/>
            eſt.</s>
            <s xml:id="echoid-s103" xml:space="preserve"/>
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        <div xml:id="echoid-div20" type="section" level="1" n="18">
          <head xml:id="echoid-head25" xml:space="preserve">6 DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s104" xml:space="preserve">Gravitatis planum diametrum eſt quodcunque corpus
              <lb/>
            per gravitatis ſuæ centrum ſecat.</s>
            <s xml:id="echoid-s105" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div21" type="section" level="1" n="19">
          <head xml:id="echoid-head26" xml:space="preserve">DECLARATIO.</head>
          <p>
            <s xml:id="echoid-s106" xml:space="preserve">Vt quodvis planum quod 4
              <emph style="sub">tæ</emph>
            definitionis globum per centrum D ſecat, ejus
              <lb/>
            ipſius gravitatis diametrum planum appellatur. </s>
            <s xml:id="echoid-s107" xml:space="preserve">Idem de aliis corporibus ju-
              <lb/>
            dicium eſto. </s>
            <s xml:id="echoid-s108" xml:space="preserve">Affectio hujus propria eſt, quomodolibet ſecet corpus, in duas
              <lb/>
            æqueponderantes partes ſecare.</s>
            <s xml:id="echoid-s109" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div22" type="section" level="1" n="20">
          <head xml:id="echoid-head27" xml:space="preserve">7 DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s110" xml:space="preserve">Recta duabus pendulis diametris terminata, jugum
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            ſive T*RABS* dicatur.</s>
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          </p>
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        <div xml:id="echoid-div23" type="section" level="1" n="21">
          <head xml:id="echoid-head28" xml:space="preserve">DECLARATIO.</head>
          <figure number="4">
            <image file="527.01.007-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.007-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s112" xml:space="preserve">A & </s>
            <s xml:id="echoid-s113" xml:space="preserve">B duo corpora ſunto, & </s>
            <s xml:id="echoid-s114" xml:space="preserve">pendulæ gravitatis dia-
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            metri C D & </s>
            <s xml:id="echoid-s115" xml:space="preserve">E F, inter quas contingentibus punctis du-
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            ctæ rectæ G H, A B, I K aliæq́ue infinitæ pendulis dia-
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            metris terminatæ, quas jugum vocamus unde A, B gra-
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            vitates dependent, ad Bilancis jugum alludentes.</s>
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          </p>
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        <div xml:id="echoid-div24" type="section" level="1" n="22">
          <head xml:id="echoid-head29" xml:space="preserve">8 DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s117" xml:space="preserve">Iuga@ à pendulâ gravitatis diametro diviſi partes, ex qui-
              <lb/>
            bus pondera ſitu æquilibria dependĕt, Radii appellantur.</s>
            <s xml:id="echoid-s118" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div25" type="section" level="1" n="23">
          <head xml:id="echoid-head30" xml:space="preserve">DECLARATIO.</head>
          <figure number="5">
            <image file="527.01.007-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.007-02"/>
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          <p>
            <s xml:id="echoid-s119" xml:space="preserve">A, B duo corporaſunto, & </s>
            <s xml:id="echoid-s120" xml:space="preserve">jugum illorum C D partitum
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            in E, à pendula diametro F, duo jugi membra ut E C, & </s>
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              <lb/>
            E D, ex quibus
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            iſorropa pondera ſunt ſuſpenſa, radiiappel-
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            lantur.</s>
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          </p>
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        <div xml:id="echoid-div26" type="section" level="1" n="24">
          <head xml:id="echoid-head31" xml:space="preserve">9 DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s123" xml:space="preserve">Amborum autem ponderum pendula gravitatis dia-
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            metrosanſa nobis dicitur.</s>
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          <head xml:id="echoid-head32" xml:space="preserve">DECLARATIO.</head>
          <p>
            <s xml:id="echoid-s125" xml:space="preserve">Vt FE, in 8 definit. </s>
            <s xml:id="echoid-s126" xml:space="preserve">Anſa eſt.</s>
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