Discorsi Propositions |
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Discorsi Proposition2/06-th-06-cor3 |

COLLARIUM III. | COROLLARY III |

Hinc colligitur, lationum tempora super planis inclinatis tunc esse aequalia, quando elevationes partium aequalium eorumdem planorum fuerint inter se ut eorumdem planorum longitudines: | (Condition 2/06-th-06) Moreover the times of descent along inclined planes will be equal when the vertical heights of equal lengths of these planes are to each other as the lengths of the planes themselves; |

ostensum enim est, tempora per CA, DA, in penultima figura, esse aequalia, dum elevatio partis AB aequalis AD, nempe BE, ad elevationem DF fuerit ut CA ad DA. | thus it is clear that the times of descent along CA and DA, in the figure just before the last, are equal, provided the vertical height of AB (AB being equal to AD), namely, BE, is to the vertical height DF as CA is to DA. |

Discorsi Propositions |
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Discorsi Proposition2/06-th-06-cor3 |