DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

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            <pb xlink:href="077/01/182.jpg" pagenum="178"/>
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              Quoniam enim eſt A ad B, ut D ad E; erit AD ſimul ad
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              BE ſimul, vt A ad B. ſimiliter quoniam B ad C eſt, vt E ad
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              F, erit BE ſimul ad CF ſimul, vt B ad C. in eadem igitur ſunt
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              proportione AD ſimul, & BE ſimul, & CF ſimul, vt ABC.
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              quod demonſtrare oportebat. </s>
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              12.
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              quinti.
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            <p id="N16EEA" type="head">
              <s id="N16EEC">LEMMA. V.</s>
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              <s id="N16EF0">Si magnitudo magnitudinis fuerit ſeſquialtera ad tres quin
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              tas eiuſdem erit duplex ſeſquialtera. </s>
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            <figure id="id.077.01.182.1.jpg" xlink:href="077/01/182/1.jpg" number="117"/>
            <p id="N16EF7" type="main">
              <s id="N16EF9">Sit AB ipſius CD ſeſquialtera. </s>
              <s id="N16EFB">ſit uerò CE tres quintæ
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              ipſius CD. Dico AB ad CE ita eſſe, vt quin〈que〉 ad duo. </s>
              <s id="N16EFF">Fiat EF
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              ęqualis EC, erit CF ſex quintæ ipſius CD. & quoniam AB i­
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              pſius CD eſt ſeſquialtera, ſuperabit AB ipſam CD dimidia
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              ipſius CD. erit igitur AB ſeptem quintæ cum dimidia i­
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              pſius CD. quare CF minor eſt AB. fiat igitur AG æqua­
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              lis CF. erit vti〈que〉 AG ſex quintę ipſius CD. & ob id GB
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              ipſius CD quinta eſt pars cum dimidia. </s>
              <s id="N16F0D">& quoniam CE eſt
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              eiuſdem CD tres quintæ, erit BG dimidia ipſius CE. qua­
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              re GB ipſam CE bis metietur. </s>
              <s id="N16F13">Et quoniam EF eſt æqua­
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              lis ipſi EC, ipſa BG bis quo〈que〉 metietur ipſam EF. quare </s>
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