Ceva, Giovanni, Geometria motus, 1692

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              MO curretur iuxta imaginem BHIF, nempe compoſito
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              motu, & tempore AG. </s>
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              Tab.
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              4.
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              Fig.
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              2.</s>
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              Def.
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              3
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              prima.
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              Pr.
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              2.
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              primą
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              huius.
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              <s id="s.000373">2. Se nunc ſecent lineæ BF, HI in C. </s>
              <s id="s.000374">Ducatur CD pa­
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              rallela alteri æquidiſtantium AB, GF. </s>
              <s id="s.000375">Conſtat ex prima
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              parte, quòd mobile compoſito motu, & iuxta imaginem
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              HBC feretur verſus O tempore AD; ſit ergo ſpatium, quod
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              curreretur illa imagine, PR, & ob id LO ad PR eandem̨
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              habebit rationem quam imago ABFG ad imaginem̨
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              HBC. </s>
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              Tab.
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              4.
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              fig.
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              3.</s>
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              Pr.
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              2.
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              prima
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              <s id="s.000378">Similiter dum mobile mouetur tempore DG iuxta ima­
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              gines DCIG, DCFG, feretur verè ſecundùm imaginem̨
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              FCI verſus L, quamobrem ſi ſpatium, quod exigeretur
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              hac imagine ſit RQ, habebit iſtud ad LO eandem rationem,
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              quam imago CFI ad imaginem ABFG, & ideo ex æquali
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              QR ad PR ſe habebit vt imago CFI ad imaginem HBC; ſi
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              igitur ponatur ABFG maior imagine AHIG, demptà co­
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              muniter AHCFG relinquetur HBC maior imagine CEI, &
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              ideo etiam PR maior QR: curritur verò PR versùs R tem­
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              pore AD, & RQ versùs P tempore DG, ergo toto tempo­
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              re AG curretur PQ differentia ſpatiorum PR, RQ Cum
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              verò HBC ad CFI, ſit vt PR ad RQ, erit diuidendo vt ex­
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              ceſſus imaginis HBC ſupra imaginem FCI ad imaginem̨
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              iſtam, ita PQ ad QR, & oſtenſum eſt QR ad LO, ſicut ima­
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              go FCI ad imaginem ABFG, ergo ex æquali exceſſus ima­
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              ginis HBC ſupra imaginem AHIG habebit eandem ratio­
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              nem ad imaginem AHIG, ac PQ ad LO, at eſt in illa
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              ratione etiam LM ad LO (eſt enim LO ad MO vt imago
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              ABFG ad imaginem AHIG) ergo PQ erit æqualis LM,
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              atque adeo mobile dum currit vtroque motu, hoc eſt iux­
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              ta ſimul duas imagines propoſitas contrariorum motuum,
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              peraget ſpatium LM versùs O ſecundùm imaginem, quæ
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              differentia eſt propoſitarum ABFG, AHIG, tempore AG.
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              <s id="s.000379">Quod &c. </s>
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