DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

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          <chap id="N1043F">
            <pb n="10" xlink:href="036/01/033.jpg"/>
            <p id="id.2.1.17.5.0.0.0" type="main">
              <s id="id.2.1.17.5.1.1.0">Producatur FG vſq; ad mundi cen
                <lb/>
              trum, quod ſit S. </s>
              <s id="N10D12">& à puncto S circu
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              lum AFBG contingens ducatur. </s>
              <s id="id.2.1.17.5.1.2.0">neq;
                <lb/>
              enim linea à puncto S circulum con­
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              tingere poteſt in A; nam ducta AS
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              triangulum ACS duos haberet angu
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              los rectos, nempè SAC ACS, quod
                <arrow.to.target n="note33"/>
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              eſt impoſsibile. </s>
              <s id="id.2.1.17.5.1.3.0">neq; ſupra punctum A
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              in circumferentia AF continget; cir
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              culum enim ſecaret. </s>
              <s id="id.2.1.17.5.1.4.0">tanget igitur in­
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              fra, ſitq; SO. </s>
              <s id="N10D32">connectantur deinde SD
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              SL, quæ circumferentiam AOG in
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              punctis KH ſecent. </s>
              <s id="id.2.1.17.5.1.5.0">& Ck CH con
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              iungantur. </s>
              <s id="id.2.1.17.5.1.6.0">Et quoniam pondus, quanto
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              propius eſt ipſi F, magis quoque inni­
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              titur centro; vt pondus in D magis ver­
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              ſionis puncto C innititur tanquam
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              centro; hoc eſt in D magis ſupra li­
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              neam CD grauitat, quàm ſi eſſet in A
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              ſupra lineam CA; & adhuc magis in
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              L ſupra lineam CL; Nam cùm tres
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              anguli cuiuſcunq; trianguli duobus re­
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                <figure id="id.036.01.033.1.jpg" place="text" xlink:href="036/01/033/1.jpg" number="19"/>
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              ctis ſint æquales, & trianguli DCk æquicruris angulus DCk
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              minor ſit angulo LCH æquicruris trianguli LCH: erunt reli­
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              qui ad baſim ſcilicet CDk CkD ſimul ſumpti reliquis CLH
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              CHL maiores. </s>
              <s id="id.2.1.17.5.1.7.0">& horum dimidii; hoc eſt angulus CDS angu
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              lo CLS maior erit. </s>
              <s id="id.2.1.17.5.1.8.0">cùm itaq; CLS ſit minor, linea CL ma
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              gis adhærebit motui naturali ponderis in L prorſus ſoluti. </s>
              <s id="id.2.1.17.5.1.9.0">hoc
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              eſt lineæ LS, quàm CD motui DS. </s>
              <s id="id.2.1.17.5.1.9.0.a">pondus enim in L
                <expan abbr="libe">li</expan>
              ­
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              berum, atq; ſolutum in centrum mundi per LS moueretur, pon­
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              dusq; in D per DS. </s>
              <s id="id.2.1.17.5.1.9.0.b">quoniam verò pondus in L totum ſuper LS
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              grauitat, in D verò ſuper DS: pondus in L magis ſupra lineam
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              CL grauitabit, quàm exiſtens in D ſupra lineam DC. </s>
              <s id="N10D7F">ergo
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              linea CL pondus magis ſuſtentabit, quàm linea CD. </s>
              <s id="id.2.1.17.5.1.9.0.c">Eodem­
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              〈qué〉 modo, quò pondus propius fuerit ipſi F, magis ob hanc cau­
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              ſam à linea CL ſuſtineri oſtendetur; ſemper enim angulus CLS </s>
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