Ceva, Giovanni, Geometria motus, 1692

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              PROP. XI. PROB. IV.
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              <s id="s.000463">EX datis imaginibus velocitatum, iuxta quas ſimplici
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              motu currantur latera compoſiti motus; datis item
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              tangentibus ad quæcunque puncta ipſorum laterum, repe­
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              rire ſemitam compoſiti motus, nec non directiones,
                <expan abbr="veloci-tateſq;">veloci­
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                tateſque</expan>
              puncti deſcribentis ipſam ſemitam. </s>
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              Tab.
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              4.
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              fig.
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              8.</s>
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              <s id="s.000465">Opportet tamen latera ipſa,
                <expan abbr="itemq;">itemque</expan>
              imagines prædictas,
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              in imperatas ſecari poſſe rationes, quamquam nos non la­
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              teat, in lateribus curuis hoc effici non poſſe, præterquam̨
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              aliquatenus in periphærijs circulorum. </s>
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              <s id="s.000466">Sint AB, AF latera compoſiti motus, quæ quidem ſeor­
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              ſim currantur eodem tempore QM, ſcilicet AB iuxta ima­
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              ginem MNPQ, et AF iuxta imaginem alteram ei homoge­
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              neam TMQR. </s>
              <s id="s.000467">Ponatur AB circuli arcus, quem tangat re­
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              cta BC æqualis QB, at AF lineam', quæ parabola ſit, con­
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              tingat recta FG æqualis RQ Reperiemus illicò punctum
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              H extremum ſemitæ compoſiti motus; ſunt enim data pun­
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              cta A, F, B. </s>
              <s id="s.000468">Cum igitur mobile venerit in H. Dico, eo
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              temporis momento velocitatem, ac directionem HL, quæ
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              recta diameter eſt parallelogrammi, cuius duo latera ſunt
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              dictæ lineæ HI, HK; Iam vti diximus punctum H eſt ex­
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              tremum compoſiti motus, quare eo momento, quo pun­
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              ctum mobile eſt in H, habet inibi eaſdem illas velocitates,
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              quas haberet in B, et F, dum ſeorſim illa latera excurriſſet;
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              ſcilicet conſideratur ipſum mobile habens ſimul velocita­
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              tem HI æqualem, ac æquedirectam, ſeu æquidiſtantem
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              ipſi CB, cui eſt æqualis alia QP; & velocitatem HK æqua­
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              lem, ſimiliterque directam, ipſi GF æquali RQ Cum ita
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              ſit erit HL velocitas, & directio quæſita momento
                <expan abbr="q.">que</expan>
              Eo­
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              dem modo, ſi ſit, vel fiat vt imago PNMQ ad ONMV
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              (ducta ſcilicet applicata SVO) ita BA ad AX, et ONMV
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              ad imaginem VMTS, vt XA ad AI, percurrentur AX, AI
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              </s>
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          </chap>
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