Discorsi Propositions |
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Discorsi Proposition2/19-pr-06-cor |

COLLARIUM. | COROLLARY |

Hinc colligitur, quod si alicuius spatii ponatur, tempus ex quiete esse ut ipsummet spatium, tempus illius post aliud spatium adiunctum erit excessus medii inter adiunctum una cum spatio, et ipsum spatium super medium inter primum et adiunctum: | (Condition 2/19-pr-06) Hence it is inferred that if the time of fall from rest through any given distance is represented by that distance itself, then the time of fall, after the given distance has been increased by a certain amount, will be represented by the excess of the mean proportional between the increased distance and the original distance over the mean proportional between the original distance and the increment. |

veluti, posito quod tempus per AB ex quiete in A sit AB, addito AS, tempus per AB post SA erit excessus medii inter SB, BA super medium inter BA, AS. | Thus, for instance, if we agree that AB represents the time of fall, from rest at A, through the distance AB, and that AS is the increment, the time required to traverse AB, after fall through SA, will be the excess of the mean proportional between SB and BA over the mean proportional between BA and AS. |

Discorsi Propositions |
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Discorsi Proposition2/19-pr-06-cor |