An overbalanced weight-wheel and its percussions
Weights, counter-levers and blows analysed on a wheel meant to turn by a sixth
A large wheel diagram fills the page, its rim hung with weights r, S and others carried on straight and curved arms (counter-levers). Leonardo works through the mechanics: as r descends to x it recovers 11/12 of its weight and, striking through the counter-lever l, drives S down to make a 'second percussion' meant to turn the wheel by a sixth of its circle. He treats the pole b (and f) as the centre of gravity of the attached weights and balances them arithmetically, adding 3 to make 7 stand against 7. He voices the doubt that such a self-repeating series would only wear out the poles, and warns that a weight on a curved counter-lever must be made heavier or it will not raise the weight S.
On this page
A wheel hung with weights on straight and curved arms
The device is a wheel whose rim carries weights r, S and others on arms, some straight and some curved (counter-levers). Its behaviour is analysed as descending weights strike and drive the wheel around; the pole b or f is taken as the centre of gravity of the attached weights.
The percussion of the descending weight r on S
When r descends, l rises and strikes the middle of the shaft S z, so that a one-pound S struck at the middle would become 2 pounds; but because the perpendicular S q halves the weight S, the 2 pounds come back to one. Descended to x, r weighs 11/12 of its weight, and the added percussion makes S descend at the second blow — the question being whether it turns a sixth of the wheel.
Balancing the weights about the pole
Taking the pole b as the centre of gravity of the wheel's weights, adding 3 to m gives 7 in m against 7 in n, so the balance-pole stands exactly in the middle. Leonardo doubts whether the blow of r and S can truly turn a sixth of the wheel, since t v would then take the place of r S and repeat, a series that would only wear out the poles.
Curved counter-levers must be made heavier
All weights that have a curved counter-lever, like r, must weigh as much more as their counter-lever weighs; otherwise they would not raise the weight S.
