Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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              <s>
                <pb xlink:href="018/01/075.jpg" pagenum="67"/>
              noné defatigat, ſi maximè res ad minimas
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              Aſtronomicas fractiones deducta exigat par­
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              tis proportionalis inquiſitionem. </s>
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            <p type="main">
              <s>
                <emph type="italics"/>
              Guld.
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              </s>
              <s> Satis eſt, ſi peritis Geometris hac
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              in re fiat ſatis. </s>
              <s>Verùm adhuc abſque Cano­
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                <arrow.to.target n="note33"/>
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              ne Trigonometrico res tota perfici poſſet,
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              ſed non ſine Algebrâ. </s>
              <s>Habeatur enim qua­
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              dratum Geometricum
                <emph type="italics"/>
              S
                <emph.end type="italics"/>
              H;
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              vel etiam ſit rectangulum,
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                <figure id="id.018.01.075.1.jpg" xlink:href="018/01/075/1.jpg" number="18"/>
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              cuius latus AS maius ſit late­
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              re AH, id quod aliquando
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              commodius accidet. </s>
              <s>Obuer­
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              tatur latus AH ita, vt con­
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              gruat radio optico terram̨
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              tangenti AD, in ſuperiorę
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              figurâ: eritque triangulum
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              ABE ſimile triangulo OAS: Nam anguli
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              SAH & BEA ſunt recti, ac proinde lineæ
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              SA, BE parallelæ, intrà quas anguli alterni
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              SAO, EBA ſunt æquales; ſicut & alterni
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              EAB, SOA, intra parallelas SO, AE. </s>
              <s>Igi­
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              tur vt OA ad AS, ita AB ad BE: ſed vt AB
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              ad BE, ita in ſuperiore figurâ AC ad CD;
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              ergo vt OA ad AS, ita AC ad CD. </s>
              <s>Quare
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              ſi latus AS Quadrati vel rectanguli notum ſit
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              in particulis quibuslibet, facilè innoteſcet,
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              quot huiuſmodi particulas contineat AO. </s>
              <s>
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              Cum verò altitudo AB nota ſit ex. gr. ped. </s>
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