Ceva, Giovanni
,
Geometria motus
,
1692
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eodem tempore MV, eritque ob id in X velocitas, & dire
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ctio, tangens ipſa ZX æqualis VO, & in I velocitas, & di
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rectio, tangens 2 I æqualis VS; Itaque datis punctis X, I, A
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dabitur etiam Y extremum ſemitæ compoſiti motus, cuius
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latera AX, AI, & ideo mobile dum eſt in Y momento V
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affectum erit duplici velocitate, hoc eſt Y 4 æquali ve
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locitati ZX, ſeu VO, ac æquidiſtante eidem ZX, et veloci
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tate altera Y 3 æquali, & æquèdirecta ipſi 2 I: quare ex
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datis punctis 4, Y, 3 inuenietur punctum S quartus angu
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lus parallelogrammi habentis diametrum YI, quæ quidem
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erit directio, & velocitas mobilis currentis compoſito mo
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tu inſtanti V. </
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methodo reperire queamus, per quæ duci poſſit linea ferè
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quæſitam ſemitam repræſentans,
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emulans, patet idcir
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co, quod propoſuimus. </
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Pr,
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10.
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huius.
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Ex pr.
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3.
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hu.
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Pr.
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2.
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primi
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huius.
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Cor.
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2.
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def.
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3.
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huius.
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Pr.
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3.
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huius
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Corollarium.
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Cum verò directiones ſint idem, ac tangentes, liquet HL
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VS tangentes eſſe compoſiti motus.
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Pr.
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8
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huius.
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PROP. XII. THEOR. VIII.
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rectæ, quæ ſint latera compoſiti motus, ſunt paral-
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lelogrammum, & triangulum; tunc ſemita compoſiti motus
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erit communis parabola. </
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Tab.
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5.
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Fig.
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1.</
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">Tempore HM curratur latus AC iuxta imaginem velo
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citatum HILM rectangulum, & latus AB iuxta imaginem
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triangulum HMN; erit CA ad AB, vt imago
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HILM ad aliam imaginem triangulum NHM. </
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ACDB erit in D extremum ſemitæ com
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poſiti motus, quæ ſi ponatur AFC; Dico eſſe parabolam.
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