Monantheuil, Henri de, Aristotelis Mechanica, 1599

Table of figures

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                <s id="id.002712">
                  <pb xlink:href="035/01/221.jpg" pagenum="181"/>
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                & lateri A B æqualia prop. 34. lib. 1. </s>
                <s>Sint & totidem G Q,
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                E F, H R ſecundum latitudinem extenſa, interſe quoque, & la­
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                teri A C æqualia per eandem.
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              <p type="main">
                <s id="id.002713">
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                Sit ſecunda forma
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                  <foreign lang="el">a b g d</foreign>
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                in eadem ratione laterum, & ea­
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                dem magnitudine ſeruata, & linearum ſed obliquarum æquali nu­
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                mero, quæ ſint
                  <emph.end type="italics"/>
                  <foreign lang="el">a c, h k, e d</foreign>
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                tum
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                  <foreign lang="el">b c, q i, e g,</foreign>
                  <emph type="italics"/>
                quæ quia pa­
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                  <lb/>
                  <figure id="id.035.01.221.1.jpg" xlink:href="035/01/221/1.jpg" number="82"/>
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                rallelæ ſunt, & aduerſæ in ſuis parallelogrammis, omnes inter ſe
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                æquales ſunt prop. 34. lib. 1. </s>
                <s>Nam poſito quod
                  <emph.end type="italics"/>
                  <foreign lang="el">a c</foreign>
                  <emph type="italics"/>
                ſit ab angulo
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                  <foreign lang="el">a</foreign>
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                  <emph type="italics"/>
                ad
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                  <foreign lang="el">c</foreign>
                  <emph type="italics"/>
                medium lateris
                  <emph.end type="italics"/>
                  <foreign lang="el">g d</foreign>
                  <emph type="italics"/>
                : erit hæc æqualis ipſi
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                  <foreign lang="el">b c,</foreign>
                  <emph type="italics"/>
                quia latera
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                æqualium quadratorum. </s>
                <s id="id.002714">Vtrumque enim æquale eſt duobus ex
                  <emph.end type="italics"/>
                  <foreign lang="el">a g,
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                  g c,</foreign>
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                vel quod idem eſt ex
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                  <foreign lang="el">c d, d b</foreign>
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                prop. 47. lib. 1.
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                <s id="id.002715">
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                Dico ergo quod lorum K N cum G Q, id eſt A C, A B ma­
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                ius eſt
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                  <foreign lang="el">a c, c b,</foreign>
                  <emph type="italics"/>
                & duo pariter accepta duobus pariter acceptis eſſe
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                maiora: ſicque totum lorum in lecto A B C D maius eſſe toto,
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                quod eſt in lecto
                  <emph.end type="italics"/>
                  <foreign lang="el">a b g d. </foreign>
                </s>
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                <s id="id.002716">
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                Demonſtratio. </s>
                <s id="id.002717">Quia rectangulum ſub A C, A B comprehen­
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                ſum duplum eſt quadrati ex A C prop. 1. lib. 6. & rectangulum ſub
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                  <lb/>
                  <foreign lang="el">a c, c b</foreign>
                  <emph type="italics"/>
                duplum
                  <expan abbr="itẽ">item</expan>
                eſt quadrati ex A C. </s>
                <s id="id.002718">Ipſum enim
                  <expan abbr="cũ">cum</expan>
                quadratum
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                ſit. </s>
                <s id="id.002719">
                  <expan abbr="Nã">Nam</expan>
                  <emph.end type="italics"/>
                  <foreign lang="el">a c</foreign>
                  <emph type="italics"/>
                &
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                  <foreign lang="el">c b</foreign>
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                ſunt æquales ex fabrica, æquale eſt prop. 47. lib. 1.
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                duobus quadratis ex A C & C F: ſed quod idem eſt ex
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                  <foreign lang="el">a g</foreign>
                  <emph type="italics"/>
                &
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                  <foreign lang="el">g c,</foreign>
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                  <emph type="italics"/>
                æqualibus ex hypoth. erit
                  <expan abbr="rectangulũ">rectangulum</expan>
                ſub A C, A B comprehenſum
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                rectangulo ſub
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                  <foreign lang="el">a c, c b</foreign>
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                comprehenſo. axiom. 6. & per idem rectan­
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                gulum bis ſub A C, A B comprehenſum, rectangulo bis ſub
                  <emph.end type="italics"/>
                  <foreign lang="el">a c, c b</foreign>
                </s>
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