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

Table of contents

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[191.] DEMONSTRATIO.
Page: 58 (58)
[192.] 3 THEOREMA. 4 PROPOSITIO.
Page: 58 (58)
[193.] DEMONSTRATIO.
Page: 59 (59)
[194.] 4 THEOREMA. 5 PROPOSITIO.
Page: 59 (59)
[195.] DEMONSTRATIO.
Page: 59 (59)
[196.] 2 PROBLEMA. 6 PROPOSITIO.
Page: 59 (59)
[197.] 1 Exemplum.
Page: 59 (59)
[198.] PRAGMATIA.
Page: 60 (60)
[199.] 2 Exemplum.
Page: 60 (60)
[200.] PRAGMATIA.
Page: 60 (60)
[201.] 3 Exemplum.
Page: 60 (60)
[202.] PRAGMATIA.
Page: 60 (60)
[203.] NOTATO
Page: 60 (60)
[204.] 4 Exemplum.
Page: 61 (61)
[205.] PRAGMATIA.
Page: 61 (61)
[206.] 5 Exemplum.
Page: 61 (61)
[207.] PRAGMATIA.
Page: 61 (61)
[208.] 6 Exemplum.
Page: 61 (61)
[209.] PRAGMATIA.
Page: 61 (61)
[210.] DEMONSTRATIO.
Page: 61 (61)
[211.] NOTATO.
Page: 62 (62)
[212.] 5 THEOREMA. 7 PROPOSITIO.
Page: 62 (62)
[213.] DEMONSTRATIO.
Page: 62 (62)
[214.] 6 THEOREMA. 8 PROPOSITIO.
Page: 63 (63)
[215.] DEMONSTRATIO.
Page: 63 (63)
[216.] 3 PROBLEMA. 9 PROPOSITIO.
Page: 63 (63)
[217.] 1 Exemplum.
Page: 63 (63)
[218.] CONSTRVCTIO.
Page: 64 (64)
[219.] DEMONSTRATIO.
Page: 64 (64)
[220.] 2 Exemplum.
Page: 64 (64)
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          <head xml:id="echoid-head508" xml:space="preserve">PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s4878" xml:space="preserve">Ponderum trochleis ſublimè tractorum formas inqui-
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            rere.</s>
            <s xml:id="echoid-s4879" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4880" xml:space="preserve">PRiuſquam rem ipſam exordimur generaliter intelligito, & </s>
            <s xml:id="echoid-s4881" xml:space="preserve">cogitatione
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            concipito, datum pondus hic conſtitui à trochlea infima cum pon-
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            dere ipſi alligato: </s>
            <s xml:id="echoid-s4882" xml:space="preserve">præterea differentiam gravitatis quæ à funibus exiſtit,
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            nullius momentià nobis nunc æſtimari.</s>
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          <head xml:id="echoid-head509" xml:space="preserve">I Exemplum ponderum quærectà attolluntur.</head>
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            <s xml:id="echoid-s4884" xml:space="preserve">Eſto in primo hoc diagrammate trochlea A, ex qua dependet pondus B, fu-
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            nis C D E F, cujus duæ partes C D, F E parallelæ ſint, & </s>
            <s xml:id="echoid-s4885" xml:space="preserve">utraque horizonti
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            perpendicularis, Quibus poſitis, totoq́ue pondere B ita è duabus iſtis partibus
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            C D, F E ſuſpenſo, ututraque pars pari potentia afficiatur, etiam ſingulis pro-
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            pter orbiculi volubilitatem cedet ſemiſſis ponderis B. </s>
            <s xml:id="echoid-s4886" xml:space="preserve">quamobrem ſi quis ma-
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            nu ſua funem in F ſuſtineat, is ferret gravitatem dimidii ponderis B, ex quo </s>
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