4 a 8 b, 8, c, 4

6, m, r, 3, n 3 f

d 8 e, 8 8, f g, 4 4

By the 10th, the weight f is entire in every part of the length of its support n r f. And by the 11th, the power of the weight f is equal to its resistance n. And by the 2nd part of that 11th, the cord is burdened by double the power of the weight joined to it. Whence, of necessity, the support of such a cord - the weight being 3 - that support sustains 6, as is shown at m, because it sustains the power of 3 and its resistance, which is equal to it, as is shown by the 13th. Therefore, joined together, they make a sum of 6.

14th. Force has the utmost lightness and has the power of infinite weight. 12th. Of the mobile that separates from the motor. As much as the motor is more powerful than its mobile, so much will that mobile be of greater motion than that of its motor, being of equal figure and matter.

8 8

13th. The power without motion will be equal to its opposite resistance. Every resistance will be equal to the power that pulls it. 6th. If 2 heavy bodies make an equal descent in equal time, those heavy bodies are equal and their motions will be parallel. And if 2 equal heavy bodies descend along equidistant lines, they will make, in equal time, an equal descent. 7th. Every heavy body weighs along the line of its motion. 8th. The heavier part of bodies makes itself the guide of their motion; therefore the lighter part is guided by the heavier. 9th. The least ponderosity that a body gives of itself to one of its supports will be double its heaviness; therefore the support suffers twice as much weight as that which it sustains. 10th. Every suspended gravity is entire throughout and entire in every part of the length of its support. Such is the power that resists the descent of the heavy body as that of the heavy body against its resistance. 11th. Therefore the support is pulled or pushed at the opposite extremes by two equal powers.