The centre of gravity of weights on a beam, by rule

Find the centre of the weights by rule

Find the centre of the weights always by rule: since a b are 3 equal parts, divide the eight weights into 3, giving 24/8, and do likewise with its eight spaces above.

Centre b sustains 4, centre a sustains 5

b is the centre between 2 and 2, a centre that sustains 4; a is the centre of 3 and 2, that is 5. So a has 5 and b has 4, making 9; dividing the span a b into 9 parts and taking the centre of the spaces 5 against 4 locates the centre of gravity of the three weights, the 'centre of 9.'

Equal cords at equal distances give equal loads

An equal number of cords at equal distance from the centre of the sustained weight causes those cords to be loaded with equal weight; if the centre of the weight falls equally between the cords, all their loads are equal, provided the cords are equal in number as in distance.

Dividing the space between cords by the weights

Working the case s c divided into 5 with weights 3 and 5 (making 8), Leonardo divides the intercord space by the number of weights, draws the line a n, marks the space m a, counts 6 such spaces in m f, and reduces the shares (8/6, then 5 times 6) back to whole numbers.

0203 v

Gruppo di figure con lettere e numeri.

Nel margine destro del foglio figura con numeri:

A lato delle figure:

Figure con numeri.

0206 r

Figura con lettere.

A lato della figura:

Sotto la figura:

Sotto, al centro del foglio, figura con lettere e numeri.

Sotto la figura:

Lungo il margine laterale e in quello inferiore del foglio, figure con numeri e scritte.

Group of figures with letters and numbers.

In the right margin of the sheet, a figure with numbers:

Beside the figures:

Figures with numbers.

Figure with letters.

Beside the figure:

Below the figure:

Below, at the centre of the sheet, a figure with letters and numbers.