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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            <s xml:id="echoid-s192" xml:space="preserve">
              <pb file="0016" n="16" rhead="DE INSIDENTIBVS AQVAE"/>
            poſſibile non ſecundum perpendicularem ſit quæ z, t. </s>
            <s xml:id="echoid-s193" xml:space="preserve">Demenſtrandum igi-
              <lb/>
            tur quòd non manet figura ſecundum in rectum ſtatuetur, eſt autem cen-
              <lb/>
            trum ſpbæræ uſquez, t. </s>
            <s xml:id="echoid-s194" xml:space="preserve">Rurſum enim ſit ſigura maior emiſperio, & </s>
            <s xml:id="echoid-s195" xml:space="preserve">ſit
              <lb/>
              <figure xlink:label="fig-0016-01" xlink:href="fig-0016-01a" number="12">
                <image file="0016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0016-01"/>
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            centrum ſpbæræ uſque ad emiſperium ſcilicet t, in minori autem p, in maio
              <lb/>
            ri autem K, per K autem, & </s>
            <s xml:id="echoid-s196" xml:space="preserve">per centrum terræ l. </s>
            <s xml:id="echoid-s197" xml:space="preserve">ducatur k l. </s>
            <s xml:id="echoid-s198" xml:space="preserve">figura au
              <lb/>
            tem extra bumidum aſſumpta a ſuperficie bumidi axem babet in perpen-
              <lb/>
            diculari quæ per k, propter eandem prioribus eſt centrum grauitatis ipſius
              <lb/>
            in linean, k. </s>
            <s xml:id="echoid-s199" xml:space="preserve">Sit enim r, totius autem portionis centrum grauitatis eſt in
              <lb/>
            linea z, t, inter k, & </s>
            <s xml:id="echoid-s200" xml:space="preserve">z, & </s>
            <s xml:id="echoid-s201" xml:space="preserve">ſit c. </s>
            <s xml:id="echoid-s202" xml:space="preserve">Reliquæ ergo figur æ eius quæ in bumido
              <lb/>
            centrum erit in recta c, r, inducta & </s>
            <s xml:id="echoid-s203" xml:space="preserve">aſſumpta quæ babebit ad c, r, ean-
              <lb/>
            dem proportionem quam babet grauitas portionis quæ extra bumidum ad
              <lb/>
            grauitatem figuræ quæ in bumido. </s>
            <s xml:id="echoid-s204" xml:space="preserve">Sit autem o, centrum dictæfiguræ, & </s>
            <s xml:id="echoid-s205" xml:space="preserve">
              <lb/>
            per o, perpendiculari feretur igitur grauitas portionis quidem quæ est ex-
              <lb/>
            tra bumidum ſecundum recta n, r, o, ad deorſum, figuræ autem quæ in bu
              <lb/>
            mido ſecundum rectam o, l, ad ſurſum non manet igitur figura ſed partes
              <lb/>
            quidem figuræ quæ uerſus b, ferrentur ad deorſum. </s>
            <s xml:id="echoid-s206" xml:space="preserve">Quæ autem uerſus e,
              <lb/>
            adſurſum & </s>
            <s xml:id="echoid-s207" xml:space="preserve">ſuper boc erit donec quęz, t, ſecundum perpẽdicularem fiat.</s>
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          <figure number="14">
            <image file="0016-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0016-03"/>
            <caption xml:id="echoid-caption1" style="it" xml:space="preserve">Explicit de Inſidentibus Aquæ Liber Primus.</caption>
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