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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Corollarium.
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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.</
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">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. </
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non ſolum has velocitates, verùm etiam earum directio
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nes manifeſtas eſſe. </
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">Habeat mobile A, eodem momento conatum AB, quo
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tendat in R; AC; quo in C; & AD, quo in D. </
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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. </
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eſſe quæſitam velocitatem, ac directionem, quibus mobile
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ex illis pluribus conatibus motum ſuum inſtitueret. </
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">Si mobili A currendum eſſet æquabili motu ſpatium
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AE, pertranſiret eodem tempore tam rectam AD, quàm </
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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. </
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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. </
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tione AF velocitas habens directionem AF, æquipollebit
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duabus velocitatibus AB, AE iuxta directiones rectas eaſ-</
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