Weights on a balance and a cart with double motion
Dividing the beam's interval by the ratio of the weights, and a cart whose motion is twofold
The upper note continues the balance study: setting the 4 pounds of arm-weight on one side and 2 pounds hung at the far end of the other, Leonardo divides the interval in the double ratio of the weights and takes the combined centre of gravity, whose distance from the pole matches the ratio of the joined weights. Below, a red-chalk sketch of a cart carries a short caption stating that the cart's motion is 'double,' since part b a moves in one direction while a c moves in another.
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Dividing the beam in the ratio of the weights
On one side Leonardo sets the 4 pounds of the balance-arm, on the other the 2 pounds hung at its end, and partitions the interval in the proportion of the weights, that is, in the double ratio. Taking the centre of gravity of the combination, he finds its distance from the pole stands to the distance of the opposite weight as the two joined weights stand to each other.
A cart whose motion is double (b a and a c)
A caption beside the sketch of a small cart explains that its motion is twofold: the member b a travels by one aspect while a c travels by another. The red-chalk drawing shows the wheeled frame to which the labelled parts belong.