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

Table of contents

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[121.] 2 C*ONSECTARIUM*.
Page: 30 (30)
[122.] 7 THEOREMA. 15 PROPOSITIO.
Page: 31 (31)
[123.] DECLARATIO.
Page: 31 (31)
[124.] 8 THEOREMA. 16 PROPOSITIO.
Page: 31 (31)
[125.] DEMONSTRATIO.
Page: 31 (31)
[126.] 9 THEOREMA. 17 PROPOSITIO.
Page: 32 (32)
[127.] DEMONSTRATIO.
Page: 32 (32)
[128.] C*ONSECTARIUM*.
Page: 33 (33)
[129.] 10 THEOREMA. 18 PROPOSITIO.
Page: 33 (33)
[130.] C*ONSECTARIUM*.
Page: 34 (34)
[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.
Page: 34 (34)
[132.] DEMONSTRATIO.
Page: 35 (35)
[133.] 1 C*ONSECTARIUM*.
Page: 35 (35)
[134.] 2 C*ONSECTARIUM*.
Page: 35 (35)
[135.] 3 C*ONSECTARIUM*.
Page: 35 (35)
[136.] 4 C*ONSECTARIUM*.
Page: 36 (36)
[137.] 5 C*ONSECTARIUM*.
Page: 36 (36)
[138.] 6 C*ONSECTARIUM*.
Page: 36 (36)
[139.] 7 C*ONSECTARIUM*.
Page: 38 (38)
[140.] 8 C*ONSECTARIUM*.
Page: 38 (38)
[141.] 9 C*ONSECTARIUM*.
Page: 39 (39)
[142.] 10 C*ONSECTARIUM*.
Page: 40 (40)
[143.] 11 C*ONSECTARIUM*.
Page: 40 (40)
[144.] 12 C*ONSECTARIUM*.
Page: 40 (40)
[145.] 12 THE OREMA. 20 PROPOSITIO.
Page: 41 (41)
[146.] NOTATO
Page: 42 (42)
[147.] 13 THEOREMA. 21 PROPOSITIO.
Page: 42 (42)
[148.] DEMONSTRATIO.
Page: 42 (42)
[149.] 9 PROBLEMA. 22 PROPOSITIO.
Page: 43 (43)
[150.] PRAGMATIA.
Page: 43 (43)
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            <s xml:id="echoid-s4414" xml:space="preserve">Omni preſſu quo corpus dolore afficitur, pars aliqua corporis luxatur.</s>
            <s xml:id="echoid-s4415" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s4416" xml:space="preserve">Sed isto preſſu nulla corporis pars luxatur.</s>
            <s xml:id="echoid-s4417" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s4418" xml:space="preserve">Iſto igitur preſſu corpus dolore nullo afficitur.</s>
            <s xml:id="echoid-s4419" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4420" xml:space="preserve">Aſſumptio ſyllogiſmi reipſa manifeſta eſt, nam ſi pars aliqua ut caro, ſanguis,
              <lb/>
            humor aut quodlibet denique membrum luxaretur, in alium locum concedat
              <lb/>
            neceſſe eſſet; </s>
            <s xml:id="echoid-s4421" xml:space="preserve">atqui locus ille non eſt extra corpus, cum aqua undique æquali
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            preſſu circumfuſa ſit (quod verò pars ima per 11 propoſ. </s>
            <s xml:id="echoid-s4422" xml:space="preserve">Hydroſtat. </s>
            <s xml:id="echoid-s4423" xml:space="preserve">paulò vali-
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            diùs prematur ſuperiore, id hoc caſu nullius momenti eſt, quia tantula differen-
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            tia partem nullam ſede ſua dimovere poteſt) neque item intra ipſum corpus
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            concedit, cum iſtic corpore omnia oppleta ſint, unde ſingulæ partes ſingulis
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            partibus æqualiter reſiſtunt, namq́ue aqua undiquaque eadem ratione corpus
              <lb/>
            totum circumſtat. </s>
            <s xml:id="echoid-s4424" xml:space="preserve">Quare cum locus is nec intra neque extra corpus ſit, abſur-
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            dum imò impoſsibile fuerit partem ullam ſuo loco emoveri, ideoq́; </s>
            <s xml:id="echoid-s4425" xml:space="preserve">nec corpus
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            hinc afficietur ullo dolore.</s>
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            <s xml:id="echoid-s4427" xml:space="preserve">Sed in exemplo clarius ita intelliges, eſto A B C D aqua cujus fundũ D C,
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            in quo foramen E habeat epiſtomium ſibi inſertum, cui dorſo incumbat ho-
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            mo F. </s>
            <s xml:id="echoid-s4428" xml:space="preserve">Quæ cum ita ſint, ab aquæ pondere ipſi inſidente nulla pars corporis
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            luxari poterit, cùm aqua ut dictum eſt, undique urgeat æqualiter.</s>
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            <s xml:id="echoid-s4430" xml:space="preserve">Si vero ejus veritatem explorare libeat, eximito epiſto
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                <image file="527.01.149-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.149-01"/>
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            mium E, tumq́ue tergum nulla re fultum ſuſtinebitur, ut in
              <lb/>
            locis cæteris; </s>
            <s xml:id="echoid-s4431" xml:space="preserve">ideoq́ue iſtic tanto preſſu afficietur, quantus
              <lb/>
            3 exemplo 2 propoſitionis hujus demonſtratus eſt, vide-
              <lb/>
            licet quantam efficit columna aquea cujus baſis ſit foramen
              <lb/>
            E altitudo autem eadem quæ aquæ ipſi inſidentis. </s>
            <s xml:id="echoid-s4432" xml:space="preserve">Quo
              <lb/>
            exemplo propoſiti veritas manifeſtò declaratur. </s>
            <s xml:id="echoid-s4433" xml:space="preserve">Itaque hic
              <lb/>
            Quinti Libri</s>
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          <head xml:id="echoid-head468" xml:space="preserve">FINIS ESTO.</head>
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