Ceva, Giovanni, Geometria motus, 1692

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              <s id="s.000346">Curratur LI iuxta imaginem velocitatum HAEF, et IO
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              iuxta aliam dictæ homogeneam BAED. </s>
              <s id="s.000347">Dico LO ſum­
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              mam dictorum ſpatiorum LI, IO exactum iri vnico tem­
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              pore AE, ſi nempe mobile feratur
                <expan abbr="ſecũdum">ſecundum</expan>
              vtranque ima­
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              ginem. </s>
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            <p type="main">
              <s id="s.000348">Per quodlibet punctum, ſeu temporis momentum M
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              agatur recta GMC parallela HB, vel FD. </s>
              <s id="s.000349">Habebit mobi­
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              le momento A,
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              ſcilicet mouetur motu compoſito duas
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              ſimul velocitates AH, AB, ideſt vnicam HB. </s>
              <s id="s.000350">Similiter mo­
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              mento M habebit GC, & momento E ipſam FD. </s>
              <s id="s.000351">Itaque </s>
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              <s id="s.000352">
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              erit HBDF imago velocitatum compoſiti motus, qui fiet
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              tempore AE iuxta imaginem, quæ aggregatum eſt
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              HAEF, ABDE. </s>
              <s id="s.000353">Eſt verò LI ad IO vt imago HAEF ad
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              imaginem ABDE; ergo conuertendo, componendoquę
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              erit vt LI ad LO, ſic imago HAEF ad imaginem HBDF;
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              propterea quemadmodum ſpatium LI currebatur iuxtą
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              imaginem HAEF, ſic LO percurretur imagine HBDF ſolo,
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              eodemque tempore AE. </s>
              <s id="s.000354">Quod &c. </s>
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            <p type="margin">
              <s id="s.000355">
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                <emph type="italics"/>
              Def.
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              3.
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              prima.
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              </s>
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            <p type="main">
              <s id="s.000356">
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              Corollarium.
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              <s id="s.000357">
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              Hinc patet graue perpendiculariter, violenterque deiectum
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              minimè ad terram venturum aggregato virium, quarum vna
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              eſt ab impellente impreßa, altera verò à grauitate
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              .
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              </s>
              <s id="s.000358">Nam ex impartita vt celerior fit caſus, quam vt graue in de­
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              curſu ſuo poſſit ex acceleratione naturali eum gradum acqui­
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              rere, quem certè ſponte ſua tantùm deſcendens in fine eiuſdem
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              altitudinis adeptum eſſet. </s>
              <s id="s.000359">Hoc ita verum eſt, vt aliquando
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              minimum interſit, inter impetum ab ambabus cauſis proue­
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              nientem, & eum, qui a ſola oritur grauitate, quamobrem pa­
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              rum is proficeret, qui conaretur maiorem impetum componere
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              in caſu grauis, illi nempe adiecta vi, mobile idem in decurſu
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              impellente, vltra natiuam grauitatem, quod tamen fieri haud
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              dubiè poſſet, ſi caſus obliquus eßet.
                <emph.end type="italics"/>
              </s>
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          </chap>
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