Proof that a water-wheel cannot make water raise itself
Cistern, wheels and buckets (a-h) analysed to show the rising vein is eight times thinner than the falling water
Headed by the rule that water, by its own cause, cannot raise itself on high, the leaf argues against a self-driving water-raising machine drawn at the top: a cistern (bottino) feeding wheels a, b and c and a bucket-wheel e. Counting the pounds of water spent and returned per turn, Leonardo shows the cistern pours out 4000 pounds while getting back only 500, so the rising vein must be eight times thinner than the descending water, and the motion cannot continue because the cistern water must always weigh more than what is returned. A further passage weighs the power of the blow against the continuous flow, and a short column of figures records the arithmetic.
On this page
Rule: water cannot raise itself
The page is headed by a rule to show that water, by its own cause, cannot raise itself on high. Because the cistern water that gives the first motion must always weigh more than the drawn water poured back into it, the motion cannot continue, and the lever that makes more way against its counter-lever is the stronger.
Cistern, wheels and buckets (a-h)
Wheels a, b and c are of equal size, wheel a having two parts of lever against ten and b and c one against ten; wheel e carries 20 buckets, each filled with the 2 pounds of water between d and e. One turn of wheel a makes wheel c turn 100 times, consuming 4000 pounds of water from the cistern, while a whole turn of a pours back only 500 pounds.
The rising vein is eight times thinner than the falling water
Since 500 pounds returned goes into 4000 pounds spent eight times, the continuous vein of water that rises is eight times thinner than that which descends from the cistern; and the higher it is made to rise, the thinner it becomes, drawing out like iron.
The power of the blow versus continuous flow
The power of the blow belongs to the moving water, not to the continuous conduit that results; the resulting vein is thinner the more it is deprived of blow. Water falling on standing water in the buckets gives no hard impact, so the blow is vain, and gaining weight loses the blow: the weight does as much as the blow.
Numerical working
A short column of figures records the arithmetic behind the water counts of the demonstration.
