Archimedes, Archimedis De insidentibvs aqvae

Table of contents

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[Item 1.]
[2.] ARCHIMEDIS DE INSIDENTIBVS AQV AE. LIBER PRIMVS.
[3.] CVM PRIVILEGIO. TROIANO CVRTIO
[4.] VENETIIS, APVD CVRTIVM TROIANVM. M D LXV►
[5.] FABRITIO DENORES FILIO IACOBI COMITIS TRIPOLIS VCRTIVS TROIANVS S. P. D.
[6.] ARCHIMEDIS DE INSIDENTIBVS AQV AE. LIBER PRIMVS. Suppoſitio prima.
[7.] Theorema primum. Propoſitio prima.
[8.] Theorema ij. Propoſitio ij.
[9.] Theorema iij. Propoſitio iij.
[10.] Theorema iiij. Propoſitio iiij.
[11.] Theorema v. Propoſitio v.
[12.] Theorema vj. Propoſitio vj.
[13.] Theorema vij. Propoſitio vij.
[14.] Suppoſitio ſecunda.
[15.] Theorema viij. Propoſitio viij.
[16.] AR CHIM EDIS DE INSIDENTIBVS AQV AE.
[17.] LIBER SECVNDVS. TROIANO CVRTIO VENETIIS, APVD TROIANVM CVRTIVM. M D L X V
[18.] FABRITIO DENORES FILIO IACOBI COMITIS TRIPOLIS CVRTIVS TROIANVS S. P. D.
[19.] INSIDENTIBVS AQV AE. LIB. II. PRIMVS.
[20.] SECVNDVS.
[21.] TERTIVS.
[22.] QVARTVS.
[23.] QVINTVS.
[24.] SEXTVS.
[25.] SEPTIMVS.
[26.] OCTAVVS.
[27.] NONVS.
[28.] DECIMVS.
[29.] Archimedis de inſidentibus in bumido li-ber ſecundus explicit, ad laudem Dei.
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          <head xml:id="echoid-head10" xml:space="preserve">ARCHIMEDIS DE
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          INSIDENTIBVS AQV AE.</head>
          <head xml:id="echoid-head11" xml:space="preserve">LIBER PRIMVS.</head>
          <head xml:id="echoid-head12" xml:space="preserve">Suppoſitio prima.</head>
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            <s xml:id="echoid-s27" xml:space="preserve">Suppon atur humidum habens talem naturam, ut partibus ip-
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            ſius ex æquo iacentibus, & </s>
            <s xml:id="echoid-s28" xml:space="preserve">exiſtentibus continuis, expellatur mi-
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            nus pulſa a magis pulſa, & </s>
            <s xml:id="echoid-s29" xml:space="preserve">unaqueque autem partium ipſius pel
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            litur humido, quod ſupra ipſius ex iſtente ſecundum perpendicu
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            larem, ſi humidum ſit deſcendens in aliquo, & </s>
            <s xml:id="echoid-s30" xml:space="preserve">ab alio aliquo
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            preſſum.</s>
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        <div xml:id="echoid-div7" type="section" level="1" n="7">
          <head xml:id="echoid-head13" xml:space="preserve">Theorema primum. Propoſitio prima.</head>
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            <s xml:id="echoid-s32" xml:space="preserve">Si ſuperficies aliqua plane ſecta per aliquod ſignum ſemper
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            idem ſignum ſectionem facientem circuli periferiam centrum
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            habẽtem ſignũ, per quod planoſecatur ſphæræ, erit ſuperficies.</s>
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            <s xml:id="echoid-s34" xml:space="preserve">SI enim ſuperſicies aliqua ſesta per ſignum K, plano ſuper ſestionem fa-
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            cientes circuli periferiam, centrum autem ipſius k, ſi igitur ipſa ſuperfi-
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            cies non est ſphæræ ſuperficies, non erunt omnes, quæ a centro ad ſuperfi
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            ciem, occurrentes lineæ æquales. </s>
            <s xml:id="echoid-s35" xml:space="preserve">Sit itaque a, b, g, d, ſigna in ſuperficie, & </s>
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            inæquales, quæ K. </s>
            <s xml:id="echoid-s37" xml:space="preserve">a, K, b, per ipſas autem K, a, k, b, planum educatur, & </s>
            <s xml:id="echoid-s38" xml:space="preserve">fa-
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            ciat ſectionem in ſuperficie lineam d, a, b, g, circuli ergo eſt ipſa centrum au-
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            tem ipſius K. </s>
            <s xml:id="echoid-s39" xml:space="preserve">Q uoniam ſupponebatur ſuperficies talis non ſunt ergo inæqua
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            les lineæ K, a, K, b, neceſſarium igitur eſt ſuperficies eſſe ſphæræ ſuperficiem.</s>
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