Archimedes, Archimedis De insidentibvs aqvae

Table of contents

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[21.] TERTIVS.
Page: 23 (4)
[22.] QVARTVS.
Page: 24
[23.] QVINTVS.
Page: 25 (5)
[24.] SEXTVS.
Page: 27 (6)
[25.] SEPTIMVS.
Page: 29 (7)
[26.] OCTAVVS.
Page: 30
[27.] NONVS.
Page: 33 (9)
[28.] DECIMVS.
Page: 36
[29.] Archimedis de inſidentibus in bumido li-ber ſecundus explicit, ad laudem Dei.
Page: 47 (16)
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            litercunque productis planis abſcindantur portiones adinuicem eandens
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            habebunt proportionem quam tetragona quæ ab axibus ipſorum</s>
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            <s xml:id="echoid-s320" xml:space="preserve">non minorem ergo proportionem: </s>
            <s xml:id="echoid-s321" xml:space="preserve">habet tetragonum quòd a, p, f,
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            ad tetragonum quod a, b, n, o, quam tetragonum quòd ab m, o, ad tetra-
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            gonum quod ab n, o, quare quæ p, f, non _est_ minor quàm m, o, neque quæ
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            b, p, quàm n, o. </s>
            <s xml:id="echoid-s322" xml:space="preserve">Si igitur ab m, ipſi n, o, recta ducatur, cadent intrab, & </s>
            <s xml:id="echoid-s323" xml:space="preserve">p.
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            </s>
            <s xml:id="echoid-s324" xml:space="preserve">Quoniam igitur quæ quidem p, f, eſt æquediſtanter dyametro quæ au-
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            tem m, t, eſt perpendicularis ad dyametrum, & </s>
            <s xml:id="echoid-s325" xml:space="preserve">quæ r, m, æqualis ei quæ
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            uſque ad axem a, b, r, ad t, copulata, & </s>
            <s xml:id="echoid-s326" xml:space="preserve">educta facit angulos rectos ad
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            contingentem ſecundum p. </s>
            <s xml:id="echoid-s327" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s328" xml:space="preserve">ad i, s. </s>
            <s xml:id="echoid-s329" xml:space="preserve">& </s>
            <s xml:id="echoid-s330" xml:space="preserve">ad eam quæper i, s. </s>
            <s xml:id="echoid-s331" xml:space="preserve">ſu-
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            perficiem humidi faciet æquales angulos, ſi autem per b, g, ipſi r, t, æque-
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            diſtantes ducantur anguli recti erunt facti ad, ſuperficiem humidi, & </s>
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            quod quidem in humido aſſumitur ſolidum conoydalis ſurſum fertur ſe-
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            cundum ea, quæ per b, æquediſtantem ipſir, t, quod autem extra humi-
              <lb/>
            dum aſſumpta deorſum fertur in humidum ſecundum productam per g,
              <lb/>
            æquediſtantem ipſir, t, & </s>
            <s xml:id="echoid-s333" xml:space="preserve">per totum idem erit, donec utique conoydale
              <lb/>
            rectum reſti tuatur.</s>
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          <head xml:id="echoid-head33" xml:space="preserve">QVINTVS.</head>
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            <s xml:id="echoid-s335" xml:space="preserve">Recta portio rectanguli conoydalis quando leuior exi-
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            ſtens humido habuerit axem maiorem, quàm emyolium e-
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            iusq́ue uſque ad axem ſi ad humidum in grauitate non ma-
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            iorem proportionem habeat illa, quam habet exceſſus, quo
              <lb/>
            maius eſt tetragonam quod ab axe tetragono quod ab ex-
              <lb/>
            ceſſu quo axis eſt maior, quàm emyolius eius, quæ uſque ad
              <lb/>
            axem ad tetragonum quod ab axe dimiſſa in humidum </s>
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Impressum