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The Velocity Area Theorem |
If Oresme's graphical representation of a 'uniformly difform quality' is applied to a velocity changing its intensity in proportion to the distance traversed, as it was assumed by Galileo in a period around 1604, it follows that the velocity of the entire motion is represented by the area of a triangle whose height is the distance traversed. This velocity thus grows in proportion to the square of the distance. Galileo expressed this conclusion as follows:
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Veloc-total-space-squared |