Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

Table of figures

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              ſit
                <expan abbr="rectãgulũ">rectangulum</expan>
              IGAO,
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                <expan abbr="eiusq.">eiusque</expan>
                <expan abbr="lõgiores">longiores</expan>
                <expan abbr="ſpõ-dæ">ſpon­
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                dæ</expan>
              , nempe ſex
                <expan abbr="pedũ">pedum</expan>
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              ſint IG, & AO; bre­
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              uiores verò
                <expan abbr="triũ">trium</expan>
              pe­
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              dum IA, & GO, ſin­
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              gulæ in totidem pe­
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              des diuiſæ per ſua
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              foramina, quibus re­
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              ſtes indantur, prout
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              hic litteris conſignantur. </s>
              <s id="N16B24">Deinde ſupponimus ex eodem,
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              hoc pacto reſtes ipſos per tranſuerſum extendi. </s>
              <s id="N16B29">Sumitur ini­
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              tium reſtis, & obfirmatur in A, tunc reſtis ipſa ducitur ad B,
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              ex quo poſtea per C flectitur in D; hinc per E ad F; exinde
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              verò per G ad H: ex H autem rurſus ducitur in I, & ex I per
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              K in L; vnde per M ad N; & ex N per B,
                <expan abbr="tandẽ">tandem</expan>
              peruenitur
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              in O; vbi ſimiliter
                <expan abbr="alterũ">alterum</expan>
              reſtis caput deſinendo obfirmatur. </s>
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              <s id="N16B40">Quibus poſitis ad
                <expan abbr="comprehendendã">comprehendendam</expan>
              huiuſmodi reſtium
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              quantitatem ſic ferè procedit Ariſtoteles, vel ſaltem obſcu­
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              riuſculè æquiualentia profert. </s>
              <s id="N16B4B">Cum enim triangulus BGO
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              ex conſtructione ſit rectangulus, quadrata laterum BG, &
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              GO, per 47. primi, æqualia ſunt quadrato lateris BO. </s>
              <s id="N16B52">Cum­
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              que latus BG, ſicut & latus GO trium exiſtant pedum, ac
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              ternarij quadratus numerus, ſint nouem; hinc fit, vt ex vtro­
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              que quadrato, ſcilicet lateris BG, & lateris GO, conſti­
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              tuatur numerus 18. totidem pedes contineat quadratum
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              lateris BO duobus illis æquale, proindeque vt latus ip­
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              ſum BO ſit radix quadrata numeri 18. nempe quatuor
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              pedum circiter cum quarta. </s>
              <s id="N16B63">At in lectulo non ſunt niſi
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              octo reſtes æquales,
                <expan abbr="eiuſdemq.">eiuſdemque</expan>
              dimenſionis, ac latus BO,
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              vt patet per 33. primi. </s>
              <s id="N16B6E">Ergo omnes ipſi reſtes ſimul ſum­
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              pti, ac per tranſuerſum intexti erunt quaſi triginta quatuor
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              pedum: quibus ſi addantur (vt rectè notat Baldus) ſex alij
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              pedes reſtium qui cadunt extra, nempe à B in C, & à D in
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              E, & ſic in reliquis, erit reſtis totius longitudo pedum qua­
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              draginta cum dimidio, vel paulò amplius. </s>
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