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

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              <pb o="153" file="527.01.153" n="153" rhead="S*TATICES*."/>
            axungia illud oleo perungitur; </s>
            <s xml:id="echoid-s4531" xml:space="preserve">aliud humido aëre turgeſcit, aliud erugine cor-
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            ripitur, quæ omnia (ut multa alia omittam) machinarum motus modò expe-
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            diunt, modò impediunt. </s>
            <s xml:id="echoid-s4532" xml:space="preserve">Itaque ut in Statices Praxis præfatione dictum eſt, hu-
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            juſmodi proportioni, quæ probabilis videtur, nullo modo fidendum eſt: </s>
            <s xml:id="echoid-s4533" xml:space="preserve">quin
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            omnia iſta quæ Cardanus 5 Proport. </s>
            <s xml:id="echoid-s4534" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s4535" xml:space="preserve">in variis propoſitionibus, aliiq́ue quam
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            plurimi hinc deducunt, falſa & </s>
            <s xml:id="echoid-s4536" xml:space="preserve">veri vana habenda ſunt. </s>
            <s xml:id="echoid-s4537" xml:space="preserve">Eo
              <unsure/>
            ſohis motus & </s>
            <s xml:id="echoid-s4538" xml:space="preserve">mo-
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            vendi æquilibrio contenti ſimus, quippe quæ his abundè ſatis faciat.</s>
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        <div xml:id="echoid-div633" type="section" level="1" n="454">
          <head xml:id="echoid-head476" xml:space="preserve">C*AP. III.*</head>
          <head xml:id="echoid-head477" style="it" xml:space="preserve">Staticam eſſe Mathematicarum Liberalium
            <lb/>
          artium unam.</head>
          <p>
            <s xml:id="echoid-s4540" xml:space="preserve">QVamvis de iſtarum rerum nominibus quibus doctrina nihil obſcuratur
              <lb/>
            controvertere, aut in diſceptationem vocare ſupervacaneum ſit; </s>
            <s xml:id="echoid-s4541" xml:space="preserve">non eſt
              <lb/>
            tamen cur hæc eò pertinere quis arbitretur; </s>
            <s xml:id="echoid-s4542" xml:space="preserve">nam nos cum uſui erit Staticam li-
              <lb/>
            beralem artem appellabimus, atq; </s>
            <s xml:id="echoid-s4543" xml:space="preserve">ideo ejus appellationis rationem redderene-
              <lb/>
            ceſſe fuerit. </s>
            <s xml:id="echoid-s4544" xml:space="preserve">Quemadmodum igitur numeri & </s>
            <s xml:id="echoid-s4545" xml:space="preserve">magnitudinis materia diverſa,
              <lb/>
            meritiſſimò quoque artium ſuarum limites & </s>
            <s xml:id="echoid-s4546" xml:space="preserve">confinia ſecernenda diſtinguit;
              <lb/>
            </s>
            <s xml:id="echoid-s4547" xml:space="preserve">illaq́ue Arithmeticæ hæc Geometriæ terminis circumſcribitur, ut ſingulæ con-
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            venientiori ordine, magis propriè, magisq́; </s>
            <s xml:id="echoid-s4548" xml:space="preserve">perſpicuè deſcribantur & </s>
            <s xml:id="echoid-s4549" xml:space="preserve">docean-
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            tur: </s>
            <s xml:id="echoid-s4550" xml:space="preserve">cumq́ue ſubtilis materies iſtis artibus ſubjecta à natura nobis ingenita aut
              <lb/>
            cognita non ſit; </s>
            <s xml:id="echoid-s4551" xml:space="preserve">ſed è variorum ſcriptis qui ſummo ſtudio maximaq́ue diligen-
              <lb/>
            tia in his ſeſe exercuere, imò non rarò caſu notitiam excellentium rerum ſunt
              <lb/>
            adepti, perdiſcenda ſit; </s>
            <s xml:id="echoid-s4552" xml:space="preserve">atque illarum cognitio humano uſui perquam neceſſa-
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            ria, ideoq́ue homine ingenuo digna, unde ipſæ liberales artes appellantur, & </s>
            <s xml:id="echoid-s4553" xml:space="preserve">
              <lb/>
            ſua certitudine reliquas artes longè antecellant; </s>
            <s xml:id="echoid-s4554" xml:space="preserve">meritò Mathematicæ appellan-
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            tur, cum ita eſſe non perſuadeant, ſed demonſtrando cogant, doceantq́ue. </s>
            <s xml:id="echoid-s4555" xml:space="preserve">Pari
              <lb/>
            ratione etiam Statica iſtis connumeranda, partim quia hujus materia gravitas,
              <lb/>
            ſit ab illarum utraque, numero ſcilicet & </s>
            <s xml:id="echoid-s4556" xml:space="preserve">magnitudine, diverſa; </s>
            <s xml:id="echoid-s4557" xml:space="preserve">partim etiam
              <lb/>
            quia proprietates hujus ſubtilitate quoque illis non cedant, cujus vel hoc ar-
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            gumentum ſit, quod omnium tardiſſimè è tenebris eruta, in lucem ſit edita. </s>
            <s xml:id="echoid-s4558" xml:space="preserve">De-
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            nique cum ab ultimis uſque initiis tantæ certitudinis ſit, quantæ illæ pari jure
              <lb/>
            peculiaris quædam ars Liberalis Mathematica, & </s>
            <s xml:id="echoid-s4559" xml:space="preserve">propria quoque cenſebitur.</s>
            <s xml:id="echoid-s4560" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4561" xml:space="preserve">Objiciat autem quis, Geometricas figurationes in ipſius demonſtrationibus
              <lb/>
            non rarò adhiberi, ideoq́; </s>
            <s xml:id="echoid-s4562" xml:space="preserve">ejus eſſe quandam ſpeciem. </s>
            <s xml:id="echoid-s4563" xml:space="preserve">Reſpondeo idem Arith-
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            meticæ accidere; </s>
            <s xml:id="echoid-s4564" xml:space="preserve">etenim quæ habet theoremata quarum cognitio non penitus
              <lb/>
            ex ipſa Geometria ſit repetenda? </s>
            <s xml:id="echoid-s4565" xml:space="preserve">Imo ne Geometria quidem ipſa ſe abſq; </s>
            <s xml:id="echoid-s4566" xml:space="preserve">nu-
              <lb/>
            meris tuebitur, aut defendet. </s>
            <s xml:id="echoid-s4567" xml:space="preserve">Inſpice ſodes elementa Geometrica, quoties quæ-
              <lb/>
            ſo figura figuræ dupla, item tria plana duobus æquari dicuntur? </s>
            <s xml:id="echoid-s4568" xml:space="preserve">unde conſtat
              <lb/>
            propoſitiones Geometricas abſque numeris demonſtrari non poſſe, quamvis
              <lb/>
            artes inter ſe ſint diverſæ & </s>
            <s xml:id="echoid-s4569" xml:space="preserve">diſtinctæ; </s>
            <s xml:id="echoid-s4570" xml:space="preserve">atque eadem Staticæ doctrinæ ratio erit.</s>
            <s xml:id="echoid-s4571" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4572" xml:space="preserve">Præterea Opticæ & </s>
            <s xml:id="echoid-s4573" xml:space="preserve">Catoptricæ, quæ non peculiares artes Mathematicæ ſed
              <lb/>
            Geometrici generis omnino cenſentur, alia eſt ratio, quam Staticæ, & </s>
            <s xml:id="echoid-s4574" xml:space="preserve">multùm
              <lb/>
            diſſimilis. </s>
            <s xml:id="echoid-s4575" xml:space="preserve">nam Staticæ materia ſeu ſubjectum quæ eſt gravitas, non ſecus quàm
              <lb/>
            magnitudo, & </s>
            <s xml:id="echoid-s4576" xml:space="preserve">numerus (quia omnia, ut eſt in veteri proverbio conſtant pon-
              <lb/>
            dere, numero, & </s>
            <s xml:id="echoid-s4577" xml:space="preserve">menſura) in qualibet ſubſtantia magno hominum commodo
              <lb/>
            deprehenduntur; </s>
            <s xml:id="echoid-s4578" xml:space="preserve">ſed ſuperiores iſtæ non item. </s>
            <s xml:id="echoid-s4579" xml:space="preserve">Quare ut diximus Statica me-
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            ritò liberalium Mathematicarum artium unafuerit.</s>
            <s xml:id="echoid-s4580" xml:space="preserve"/>
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