Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id000699">
                <pb pagenum="46 [=36]" xlink:href="015/01/055.jpg"/>
              enim cœli eſt ille appetitus, cuius principium eſt uita: & eíus uolun
                <lb/>
              tatis bonum ipſum. </s>
              <s id="id000700">Et ideo hæc proportio
                <expan abbr="nõ">non</expan>
              diuiditur. </s>
              <s id="id000701">In anima­
                <lb/>
              libus autem non eſt uis illa niſi, cum proportione, quia primum in­
                <lb/>
              ſtrumentum, quod recipit, & eſt ſpiritus uim habet determinatam,
                <lb/>
              cum ſit uirtus in materia: ideo
                <expan abbr="nõ">non</expan>
              mouet niſi cum certa proportio­
                <lb/>
              ne, uelut lumen in medio in ſe non habet proportionem niſi ad lu­
                <lb/>
              cem, ſed ut eſt in illo, poteſt eſſe remiſſum,
                <expan abbr="obſcurũ">obſcurum</expan>
              & hebes. </s>
              <s id="id000702">Quæ­
                <lb/>
              ritur ergo quantitas illius? </s>
              <s id="id000703">ſi dicas, quòd eſt à luce: quæro quanti­
                <lb/>
              tas lucis, unde ſit? </s>
              <s id="id000704">forſan dicendum, quòd uelutin motibus, quanto
                <lb/>
              denſiora ſunt corpora tanto
                <expan abbr="mouent̃">mouentur</expan>
              maiore nixu, & robore. </s>
              <s id="id000705">Nam
                <lb/>
              calor in materia augetur iuxta illius quantitatem: idem in luce, &
                <lb/>
              reliquis. </s>
              <s id="id000706">Dico ergo proportionem eſſe infinitam: nam ſi corpus eſ­
                <lb/>
              ſet infinitum & optimè diſpoſitum infinita ui moueretur & agili­
                <lb/>
              tate, ut enim maius eſt eo maiores uires habet.</s>
            </p>
            <p type="margin">
              <s id="id000707">
                <margin.target id="marg120"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              27.</s>
            </p>
            <p type="margin">
              <s id="id000708">
                <margin.target id="marg121"/>
              T
                <emph type="italics"/>
              ex.
                <emph.end type="italics"/>
              71.
                <lb/>
              2.
                <emph type="italics"/>
              de
                <emph.end type="italics"/>
              C
                <emph type="italics"/>
              œlo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id000709">Propoſitio quadrageſimaſeptima.</s>
            </p>
            <p type="main">
              <s id="id000710">Si duo mobilia æqualiter in eodem circulo iuxta proprios mo­
                <lb/>
              tus moueantur, productum temporis circuituum inuicem erit æ­
                <lb/>
              quale producto differentiæ temporum circuitus ductæ in tempus
                <lb/>
              coniunctionis primæ.
                <lb/>
                <arrow.to.target n="marg122"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000711">
                <margin.target id="marg122"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000712">Sint duo mobilia a & b in eodem pun­
                <lb/>
                <figure id="id.015.01.055.1.jpg" xlink:href="015/01/055/1.jpg" number="52"/>
                <lb/>
              cto, quæ æqualiter uerſus eandem partem
                <lb/>
              moueantur æqualibus in temporibus, inui
                <lb/>
              cem tamen in æqualiter, ita quod a in f & b
                <lb/>
              in g temporibus abſoluant circulum, & ho
                <lb/>
              rum differentia ſit h. </s>
              <s id="id000713">Dum itaque a perficit
                <lb/>
              circulum b perueniat in c, igitur c d b eſt dif
                <lb/>
              ferentia, quæ ſuperanda eſt, & proportio
                <lb/>
              circuli ad b c ut g ad f, quare reliqui ad reli­
                <lb/>
              quum, ut reſidui ad reſiduum, ſcilicet circu­
                <lb/>
              li ad c d b, ut g ad h, & b c ad c d b ut f ad h, coniungantur igitur in k
                <lb/>
              tempore, eruntque k f g h omiologa, ut productum ex circulo in b c
                <lb/>
              diuiſo per certam quantitatem & cum circulo & b c & c d b diffe­
                <lb/>
              rentia, & ſit ſ productum ex f in g, dico quod diuiſa ſ per h exibit k
                <lb/>
              tempus coniunctionis primæ, ſit itaque d locus coniunctionis, dico
                <lb/>
              igitur quod differentia ſpatij pertranſiti a b, a & a, b in reditu ex con
                <lb/>
              iunctione prima ad d eſt unus circulus completus, non enim poſ­
                <lb/>
              ſunt eſſe plures, nam ſequeretur, quòd a aliquando pertranſiſſet b,
                <lb/>
              et ſic non eſſet prima coniunctio, nec poteſt eſſe minus, nam ſic cum
                <lb/>
              a & b ſint in d ultra perfectas circulationes uterque eorum pertran
                <lb/>
              ſiuit arcum b c, igitur nullo modo differentia poteſt eſſe minor cir­
                <lb/>
              culo, neque maior, ut declaratum eſt, igitur eſt unus circulus ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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