Two New Sciences motion and a naturally accelerated vertical motion which produces a parabolic curve. Two motions at right angles can be calculated using the sum of the squares. He shows in detail how to construct the parabolas in various situations and gives tables for altitude and range depending on the projected angle. [274] Air resistance shows itself in two ways: by affecting less dense bodies more and by offering greater resistance to faster bodies. A lead ball will fall slightly faster than an oak ball, but the difference with a stone ball is negligible. However the speed does not go on increasing
Word (group theory) product of two words is obtained by concatenation: Even if the two words are reduced, the product may not be. The inverse of a word is obtained by inverting each generator, and switching the order of the elements: The product of a word with its inverse can be reduced to the empty word: You can move a generator from the beginning to the end of a word by conjugation: Given a presentation formula_19 for a group "G", the word problem is the algorithmic problem of deciding, given as input two words in "S", whether they represent the same element of