Ceva, Giovanni, Geometria motus, 1692

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              Ex primą
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              parte.
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              Pr.
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              2.
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              prima.
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            <p type="main">
              <s id="s.000382">
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              Corollarium.
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                <emph.end type="center"/>
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              Deducìtur, mobile nullum ſpatium emenſurum, vbi ima­
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              gines ſimplicium motuum fuerint aquales.
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              PROP. III. THEOR. III.
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              Tab.
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              4.
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              Fig.
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              4.</s>
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              <s id="s.000386">REperire eam velocitatem, eamque directionem, quæ
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              orirentur, ſi mobile pluribus eodem momento velo­
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              citatibus, ſeu conatibus affectum eſſet. </s>
              <s id="s.000387">Opportet autem
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              non ſolum has velocitates, verùm etiam earum directio­
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              nes manifeſtas eſſe. </s>
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              <s id="s.000388">Habeat mobile A, eodem momento conatum AB, quo
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              tendat in R; AC; quo in C; & AD, quo in D. </s>
              <s id="s.000389">Quæritur ve­
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              locitas, & directio, quas mobile habiturum eſſet in multi­
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              plici illa affectione (Nam actu vnam velocitatem, vnam­
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              que tantùm directionem ſortiri debet) Ex duabus qui­
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              buſque AD, AC intelligatur perfici parallelogrammum
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              ACED, & ducta diametro AE fiat itidem aliud parallelo­
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              grammum ABFE, cuius agatur diameter AF. </s>
              <s id="s.000390">Dico AF
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              eſſe quæſitam velocitatem, ac directionem, quibus mobile
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              ex illis pluribus conatibus motum ſuum inſtitueret. </s>
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            <p type="main">
              <s id="s.000391">Si mobili A currendum eſſet æquabili motu ſpatium
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              AE, pertranſiret eodem tempore tam rectam AD, quàm </s>
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              ipſam AC; nam cum fertur ab A in E verè deſcendit ab A
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              in C, & ab A in D motu pariter æquabili; ergo AD ad
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              AC, erit vt velocitas, qua curritur per AD ad velocitatem,
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              qua curritur per AC. </s>
              <s id="s.000393">Itaque ſi mobile dum eſt in A in­
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              telligatur affectum velocitatibus AD, AC habentibus di­
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              rectiones ipſas rectas AD, AC, perinde eſſet, ac ſi ſola fo­
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              ret mobili velocitas vnâ cum directione AE. </s>
              <s id="s.000394">Eadem ra­
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              tione AF velocitas habens directionem AF, æquipollebit
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              duabus velocitatibus AB, AE iuxta directiones rectas eaſ-</s>
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          </chap>
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