Rebound, central lines of weight, and pulley loading (ff. 92v-80r)
Percussion and rebound theory paired with how a cord's angle loads a pulley pole
A transmitted-light spread of two disbound leaves. On 92v Leonardo defines the height and length of a rebound, sets out the 'central lines' of a weight, of the motion of heavy bodies, and of a blow, and states that a stronger percussion yields a shorter rebound. On 80r he analyses pulleys: how the angle at which a cord bends over a pulley determines the load on its pole, arguing a straight cord adds no load while a right-angled bend doubles it, and works numerical cases with weights m and n and cords a, b, c, d, g, h. Pulley diagrams with hanging weights are drawn along the lower right.
On this page
Stronger blows give shorter rebounds
Impacts of equal distance and object can produce endlessly varying percussions. The greater the percussion, the shorter the rebound; the weaker the percussion, the longer its rebound.
The central lines of weight, motion, and blow
The central line of a weight runs from its center of gravity to the center of the world; the central line of a blow rises from the point of percussion through the middle of equal upper and lower weights. The center of gravity always stays concentric with the central line of a body's motion, even in irregular bodies.
A cord's bend angle sets the load on the pulley pole
The pulley pole is loaded least when the sustaining cord bends over it at the largest obtuse angle; a straight cord a b adds no load, and a g c loads less than a g d. At a right angle all obtuse cases end, and acute angles can add at most double the hanging weight.
A cord carries twice its suspended weight
A cord, straight or bent, is always loaded with twice the weight it sustains. Working the quadrant figure, weight m acts as one pound at n while resistance b returns as half a pound, so the pole c feels exactly one and a half pounds.
The pole feels the weight one and a half times
The weight acts through the whole length of its cord and wholly at every part, so heavy body c is fully present by power at a and b as at c. The pulley pole n, however, feels only half from the attachment a plus the whole real weight, so it senses the load one and a half times.
Loading along the central line versus an oblique line
Where the pole feels twice its attached weight, it feels it along the central line of the world. In the other case it feels the load not twice along that central line but along the line of half obliquity h g.
