Ceva, Giovanni, Geometria motus, 1692

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              <s id="s.000564">
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              que cultiſſimum Patrem Ioſeph Ferronum è Societate Ieſu, de­
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              monſtrationem ſuam verè pulcherrimam, ac diſertiſſimè
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              exaratam, qua vna potuiſſem de Galilei aßerto ſatisfactus
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              eſſe; eam demonſtrationem, ijſdem prorſus verbis, ac figuris,
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              quibus ad me peruenit hic duxi reponendam, ne gloriam̨,
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              quam Vir tantus meretur, ipſi videremur noſtra, quam inde
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              ſubdemus, demonſtratione, ſubripere.
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              </s>
            </p>
            <p type="main">
              <s id="s.000565">
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              Inquit ergo.
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              <s id="s.000566">TEmpora naturalium de curſuum ſphærarum grauium
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                <arrow.to.target n="marg131"/>
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              per ſimiles, ſimiliterque ad horizontem inclinatos
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              arcus curuarum linearum in planis, aut verticalibus, aut
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              ad horizontem æqualiter inclinatis deſcriptarum, & quæ
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              totæ ſint ad eaſdem partes cauæ, interſe ſunt in ſubdupli­
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              cata ratione chordarum eorundem arcuum homologè
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              ſumptarum. </s>
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              Tab.
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              6.
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              fig.
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              1. 2
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              3. 4.</s>
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              <s id="s.000568">Ex puncto A ad curuam lineam BCD extra ipſam iņ
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              plano poſitam, & in totum ad eaſdem partes cauam, quæ­
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              cunque ea ſit (vel nimirum pars aliqua circumferentiæ
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              circuli, vel alicuius ex infinitis ellipſibus, aut parabolis, aut
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              hyperbolis, aut ſpiralibus, aut cycloidibus, vel concoidis,
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              vel ciſoidis, ſeu alterius cuiuſcumque ex notis, vel ignotis
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              curuis educantur omnes rectæ AB, AC, AD &c. </s>
              <s id="s.000569">quæ à
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              punctis E, F, C, vel intra, vel extra eas ſumptis proportio­
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              nalibus ſecentur, ita vt ſit AB ad AE, ſicut AC ad AF, &
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              ſicut AD ad AG &c. </s>
              <s id="s.000570">& hoc ſemper. </s>
              <s id="s.000571">Sic enim dubio pro­
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              cul apparet, prout facillimum eſt oſtendere, lineam EFG
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              tranſeuntem per ſingula puncta E, F, G ſic inuenta, cur­
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              uam
                <expan abbr="quoq;">quoque</expan>
              eſſe, & eiuſdem penitus naturæ, ac data BCD
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              eique ſimilem, ſimiliterque cum ipſa poſitam, atque in to­
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              tum cauam ad eaſdem partes, ad quas ponitur caua ipſą
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              BCD. </s>
              <s id="s.000572">Concipiatur modò planum, in quo manent huiuſ­
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              modi ſimilium curuarum ſimiles arcus BCD, EFG, vel eſſe
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              ad horizontem erectum, nempè verticale, vel ad ipſum̨ </s>
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