Archimedes, Archimedis De insidentibvs aqvae

Table of contents

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[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-head18" xml:space="preserve">Theorema vj. Propoſitio vj.</head>
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            <s xml:id="echoid-s148" xml:space="preserve">Solida leuiora humido ui preſſa in humidum ſurrexi feruntur
              <lb/>
            tanta ui ad ſuperius, quanto humidum habens molẽ æqualem cũ
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            magnitudine eſt grauius magnitudine.</s>
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            <s xml:id="echoid-s150" xml:space="preserve">S It enim magnitudo a, leuior humido. </s>
            <s xml:id="echoid-s151" xml:space="preserve">Sit autem magnitudinis, quidem
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            in qua a, grauitas b, humidi autem habentis molẽ æqualem cum a, gra-
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            uitas b, g, demonſtrandum, quod magnitudo a, ubi preſſa in humidum
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            refertur ad ſuperius tanta ui quanta est, grauitas g. </s>
            <s xml:id="echoid-s152" xml:space="preserve">Accipiatur enim quæ
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            dam magnitudo, in qua d, habens grauitatem æqualem ipſi g. </s>
            <s xml:id="echoid-s153" xml:space="preserve">Magnitudo
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            autem ex utriſque magnitudinibus in quibus a, d, in eadem compoſita eſt le
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            uior humido, eſt enim magnitudinis quidem ex utriuſque, grauitas autem
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            humidi habentis molẽ æqualem cum a, grauitas eſt b, g, dimittatur igitur
              <lb/>
            in bumidem magnitudo ex utriſque a, d, compoſita ad tantum demergetur
              <lb/>
            donec tanta moles humidi, quantum eſt demerſum magnitudinis habeat
              <lb/>
            grauitatem æqualem cum tota magnitudine, demonſtratum eſt hoc. </s>
            <s xml:id="echoid-s154" xml:space="preserve">Sit </s>
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