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Quotation from Dialogues Concerning Two New Sciences (Second to Fourth Days) by Galileo Galilei
“the increments in the distances traversed during these equal time-intervals are to one another as the odd numbers beginning with unity”
Dialogues Concerning Two New Sciences (Second to Fourth Days), Third Day, Theorem II, Proposition II, Corollary I, trans. Henry Crew and Alfonso de Salvio (1914)
The Academician's corollary to the times-squared law: in successive equal times a body falling from rest covers distances as 1, 3, 5, 7.
Citation: "the increments in the distances traversed during these equal time-intervals are to one another as the odd numbers beginning with unity" — Galileo Galilei, Dialogues Concerning Two New Sciences (Second to Fourth Days), Third Day, Theorem II, Proposition II, Corollary I, trans. Henry Crew and Alfonso de Salvio (1914). (id galileo-two-new-sciences-q6)
