Ceva, Giovanni, Geometria motus, 1692

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              <s id="s.000117">
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              homogeneæ ipſæ imagines, ſi vt ex Def. 4. huius IL ad HF
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              erit vt velocitas inſtanti I ad velocitatem mobilis inſtanti
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              F) Dico ſpatium AB ad DE eſſe vt imago rectangulum̨
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              ILMK ad imaginem rectangulum FHNG. </s>
              <s id="s.000118">Componuntur
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              ipſa illa rectangula ex ratione altitudinum IK ad FG, & ex
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              ea baſium IL ad FH; verùm ex ijſdem, ea nempe
                <expan abbr="temporũ">temporum</expan>
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                <arrow.to.target n="marg24"/>
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              IK ad FG, atque ea velocitatum IL ad FH componitur
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              etiam ratio ſpatiorum AB ad DE, ergo ipſa ſpatia erunt vt
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              propoſitę imagines.
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            <p type="margin">
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              Tab.
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              1.
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              Fig.
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              9.
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              Cor. </s>
              <s id="s.000120">Dif.
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              3.
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              huius.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000121">
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              Gil. de motu
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              æquabili.
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              </s>
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            <p type="margin">
              <s id="s.000122">
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                <emph type="italics"/>
              Tab.
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              1.
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              fig
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              10.</s>
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              <s id="s.000123">2. Sint nunc motus iuxta imagines, quarum altera acu­
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              minata, altera rectangulum ſit. </s>
              <s id="s.000124">Dico rurſus ſpatium AB,
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              quod curritur iuxta imaginem ABCD ad ſpatium DE,
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              quod curritur iuxta alteram imaginem, eſſe vt imago
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              ABCD ad imaginem PHNG. </s>
              <s id="s.000125">Niſi ita ſit, erit alia magni­
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              tudo Y maior, vel minor imagine ABCD, quæ quidem ad
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              alteram imaginem HPGN habebit eandem rationem,
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              ſpatium AB ad DE. </s>
              <s id="s.000126">Sit primùm maior exceſſu Z. Cir­
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              cumſcribatur; vt egimus in ſecunda parte primæ huius, fi­
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              gura imagini ABCD conſtans ex rectangulis æquè altis,
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              excedatque imaginem ABCD exceſſu minori, quam Z; ſit
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              ergo circumſcripta illa AE, HF, IG, KG, quam primò fa­
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              cilè oſtendemus minorem magnitudine Y; nam hæc exceſ­
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              ſu magis diſtat ab imagine, quàm circumſcripta illa. </s>
              <s id="s.000127">Præ­
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              terea ſi intelligantur tot motus æquabiles, quot ſunt
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                gula</expan>
              circumſcripta, ij nempe, qui fierent temporibus AH,
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              HI, IK, KD iuxta deinceps imagines ipſa rectangula AE,
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              HF, IG, KC interſe, & propoſitis imaginibus homogeneas,
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              velocitates, quibus ijdem motus conſiderarentur, forent
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              HE, IF, KG, DC, nimirum maximæ imaginum ABEH,
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              HEFI, IFGK, KGCD; Cumque ita ſit, longiora ſpatia cur­</s>
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            <p type="main">
              <s id="s.000128">
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              rerentur iuxta imagines rectangula circumſcripta, quam
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              ijſdem temporibus, imaginibuſque poſtremis, hoc eſt
                <expan abbr="quã">quam</expan>
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              tempore AD iuxta imaginem ABCD; obidque ſpatium
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              AB ad DE, ſeu magnitudo Y ad imaginem HPGN habe-</s>
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          </chap>
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