Monantheuil, Henri de, Aristotelis Mechanica, 1599

Page concordance

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                <s id="id.002731">
                  <pb xlink:href="035/01/223.jpg" pagenum="183"/>
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                ma ferè ſunt omnia.
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              <p type="main">
                <s id="id.002732">Angulus qui ad
                  <foreign lang="el">z</foreign>
                rectus.]
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                Angulus qui ad
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                  <foreign lang="el">z</foreign>
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                continetur à
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                lateribus
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                  <foreign lang="el">z h, z a</foreign>
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                rectanguli lecti, itaque rectus eſt.
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              <p type="main">
                <s id="id.002733">Angulus
                  <foreign lang="el">b</foreign>
                ]
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                Id eſt angulus
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                  <foreign lang="el">z b a</foreign>
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                æqualis eſt angulo
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                  <foreign lang="el">b h k</foreign>
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                quod verum eſt. </s>
                <s id="id.002734">quia ſunt anguli externus & internus ad eaſdem
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                partes duarum parallelarum
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                  <foreign lang="el">a b, k h</foreign>
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                incidente in ipſas recta
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                  <foreign lang="el">z h. </foreign>
                </s>
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              <p type="main">
                <s id="id.002735">In parallelis enim.]
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                Quod hic dicit Ariſtoteles
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                  <foreign lang="el">i)/sas gra/mmas</foreign>
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                  <emph type="italics"/>
                vertimus parallelas. </s>
                <s id="id.002736">Sic enim etiam locutus eſt cap. 5. lib. 1. poſteriore
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                analytic. </s>
                <s id="id.002737">Si quis igitur inquit demonſtrauerit, quod rectæ non con­
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                currant, videatur huius eſſe
                  <expan abbr="demõſtratio">demonſtratio</expan>
                . </s>
                <s id="id.002738">quia in omnibus ſit rectis.
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                </s>
                <s id="id.002739">Non eſt autem, ſiquidem non, quod ſic æquales ſint, id fit: ſed quate­
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                nus quomodolibet æquales.
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                </s>
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              <p type="main">
                <s id="id.002740">Similiter & aliæ.]
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                Ex tribus diagrammatis in contextu deſcri­
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                ptis quod ſecundum eſt oſtendit, extenſionem funium breuiorem ea,
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                quæ in primo, & tertio eſt, vt argumento problematis conuenire vi­
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                deatur. </s>
                <s id="id.002741">Eſt enim
                  <expan abbr="lõgitudo">longitudo</expan>
                funium in eo duntaxat 28. pedum cum 4/5
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                vnius pedis: cum in primò ſit 34. pedum ferè, & in tertio 40 1/2 fere.
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                <s id="id.002742">27.
                  <foreign lang="el">*dia\ ti/ xalepw/teron ta\
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                  makra\ cu/la a)p' a)/krou
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                  fe/rein e)pi\ tw=| w)/mw| h)\ kata\ to\ me/son.</foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.002743">27. Cur difficilius longa li­
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                gna humero feruntur ab
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                extremo: quam à medio
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                ſui. </s>
              </p>
              <p type="main">
                <s id="id.002744">
                  <foreign lang="el">*dia\ ti/ xalepw/teron ta\ makra\ cu/la a)p' a)/krou
                    <lb/>
                  fe/rein e)pi\ tw=| w)/mw| h)\ kata\ to\ me/son, i)/sou tou= ba/rous o)/ntos; </foreign>
                </s>
                <s id="g0132602">
                  <foreign lang="el">
                    <lb/>
                  po/teron o(/ti saleuome/nou tou= cu/lou to\ a)/kron kwlu/ei fe/rein,
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                  ma=llon a)ntispw=n th=| saleu/sei th\n fora/n; h)\ ka)\n
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                  mhqe\n ka/mpthtai mhd' e)/xh| polu\ mh=kos, o(/mws xalepw/teron
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                  fe/rein a)p' a)/krou; a)ll' o(/ti kai\ r(a=|on ai)/retai a)p'
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                  a)/krou h)\ e)k me/sou, dia\ to\ au)to\ kai\ fe/rein ou(/tw r(a/|dion.</foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.002745">Cur difficilius feruntur
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                humero longa ligna ab ex­
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                tremo:
                  <expan abbr="quã">quam</expan>
                à medio ſui, vt
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                æquale ſit
                  <expan abbr="põdus">pondus</expan>
                . </s>
                <s id="id.002746">An quod
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                  <expan abbr="extremũ">extremum</expan>
                ligni agitati ferri
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                prohibet, vt quod
                  <expan abbr="geſtatio­nẽ">geſtatio­
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                  nem</expan>
                agitatione magis reuel­
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                lat? </s>
                <s id="id.002747">An quoniam, licet nihil
                  <lb/>
                incuruetur,
                  <expan abbr="neq;">neque</expan>
                valdè
                  <expan abbr="ma­iorẽ">ma­
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                  iorem</expan>
                  <expan abbr="lõgitudinem">longitudinem</expan>
                habeat,
                  <lb/>
                  <expan abbr="tamẽ">tamen</expan>
                ab extremo ferre dif­
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                ficilius eſt: ſed quod faci­
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                lius à medio ſubleuetur:
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                quam ab extremo. </s>
                <s id="id.002748">Ob id ipſum etiam facilius fertur. </s>
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