Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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            <p type="main">
              <s id="s.003575">
                <pb pagenum="214" xlink:href="009/01/214.jpg"/>
              zonte; vt in ſuperiori triangulo, ſi concipiamus crura fuiſſe duo latera A B,
                <lb/>
              A D, quæ manente animali, fuiſſent ambo ſimul in ſitu A B, perpendicula­
                <lb/>
              ria horizonti; incipiens autem animal ambulare, proferat primo crus A D,
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              A D, fiet hypotenuſa trianguli A B C, & quia crus hoc A D, factum hypo­
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              tenuſa æquale eſt alteri manenti A B, nequit totius veræ hypotenuſæ A C,
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              officio fungi, quæ æquiualet toti A D, & præterea interiacenti D C, vt ea au­
                <lb/>
                <figure id="id.009.01.214.1.jpg" place="text" xlink:href="009/01/214/1.jpg" number="136"/>
                <lb/>
              tem hypotenuſa debet eſſe maior, quia opponitur
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              maiori angulo nimirum recto B, quam latus A B,
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              quod angulo acuto C, opponitur per 19. primi, &
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              propterea niſi alterum ſubſequens crus A B, incli­
                <lb/>
              netur, vt in ſecunda figura, non poteſt hypotenuſa
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              A D, terram attingere,
                <expan abbr="atq;">atque</expan>
              hac de cauſa neceſſe
                <lb/>
              eſt, vt initio greſſus
                <expan abbr="vtrumq;">vtrumque</expan>
              crus, quod prius per­
                <lb/>
              pendiculare erat, inclinetur; inclinato igitur crure
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              A B, antrorſum tunc prolatum crus A C, terram
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              contingit,
                <expan abbr="ſicq́">ſicque</expan>
              ; factus eſt primus greſſus B C.</s>
            </p>
            <p type="main">
              <s id="s.003576">
                <arrow.to.target n="marg285"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.003577">
                <margin.target id="marg285"/>
              295</s>
            </p>
            <p type="main">
              <s id="s.003578">Eodem loco
                <emph type="italics"/>
              (Signum autem, quod hoc ita ſe habet illud est. </s>
              <s id="s.003579">ſi quis enim iuxta
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              parietem per terram ambulet, quæ deſignatur linea non eſt recta, ſed obtorta, quo­
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              niam minorem quidem flectentis fieri deſcriptam neceſſe eſt; ſtantis autem, & ere­
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              cti maiorem)
                <emph.end type="italics"/>
              Vt probet, quod animal in gradiendo modo attollitur, modo
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              deprimitur, ſignum hoc affert, quia ſi quis ſecus parietem per terram am­
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              bulet, linea quam vertex capitis in pariete deſignat non eſt recta, ſeb obtor­
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              ta: quæ linea optimè deſignatur, ſi ambulantis vmbra in pariete apparens
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              ſimul, cum ipſo in pariete ambulet; videmus enim vmbram illam modo al­
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              tiorem fieri, modo breuiorem; quod ſignum eſt ambulantem modo incli­
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              nari, quando ſcilicet crus alterum profert, ſeu crura dilatat; modo erigi,
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              cum crus ſubſequens præcedenti coniungit, tune enim incedens fit horizon­
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              ti perpendicularis.</s>
            </p>
            <p type="main">
              <s id="s.003580">
                <arrow.to.target n="marg286"/>
              </s>
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            <p type="margin">
              <s id="s.003581">
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              296</s>
            </p>
            <p type="main">
              <s id="s.003582">Eodem cap.
                <emph type="italics"/>
              (Quoniam autem fiat ad rectum, vel concidet recto minore effe­
                <lb/>
              cto, vel non progredietur: ſi enim altero crure recto progreditur alterum, maius
                <lb/>
              erit cum ſit æquale: hoc
                <expan abbr="nanq;">nanque</expan>
              poterit, & id, quod quieſcit, & ipſam hypotenu­
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              ſam, neceſſe igitur eſt, & inflectere id, quod procurrit, & inflexum ſimul alterum
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              extendere, membra enim triangulorum æquilaterorum efficiuntur,
                <expan abbr="caputq́">caputque</expan>
              , fit infe­
                <lb/>
              rius, vbi perpendiculum fuerit, in quo firmatum eſt)
                <emph.end type="italics"/>
              Hæc ſunt ferè eadem cum
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              ijs, quæ in primo huius capitis loco dicta ſunt. </s>
              <s id="s.003583">proinde ea cum duabus illis
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              triangulorum figuris repetenda ſunt, vt breuius quæ nunc reſtant explicen­
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              tur. </s>
              <s id="s.003584">quoniam igitur animal antequam gradiatur, maximè homo, ſtat hori­
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              zonti perpendicularis, neceſſe eſt ad progrediendum, vt fiat aliqua mem­
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              brorum inflexio, ſi enim homo ſine vlla ſui corporis flexura inclinet ſe ad
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              horizontem, ita vt cum horizonte faciat ex anteriori parte. </s>
              <s id="s.003585">v. g. angulum
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              recto minorem, ſiue acutum, vel concidet, vel non poterit progredi; ſi enim
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              alterum crus præmitteretur, altero manente perpendiculari,
                <expan abbr="ſicq́">ſicque</expan>
              ; progre­
                <lb/>
              deretur quiſpiam, ſequeretur crus prolatum, quale eſt A D, iu priori trian­
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              gulo, debere fieri maius altero crure A B, manente, quia fieret tota hypo­
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              tenuſa A C, ſie enim terram attingeret; at non poteſt fieri illo maius, quia
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              eſt illi æquale, ergò hac ratione inceſſus fieri nequit. </s>
              <s id="s.003586">neceſſe igitur </s>
            </p>
          </chap>
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