Balance arms and weights hung from angled cords

Rule for the counterweight of a balance

Multiply the longer arm of the balance by the weight it sustains and divide by the shorter arm; the result is the weight which, placed on the shorter arm, resists the descent of the longer one. He adds that force has no weight, the blow does not endure, and motion makes force grow and diminish.

Natural gravity unchanged by the angle of the cords

By the 4th of the 9th, changing the angle the cords make at their junction with the weight does not change the distribution of natural gravity; only the accidental weight changes, growing greater as that angle grows thicker.

Real arms versus potential arms

By the 6th of the 9th, the weight 3 is not distributed to the real arms of the balance in the proportion of those arms, but in the proportion that the potential arms have between themselves.

Only the natural weight altered

In this demonstration only the natural weight is changed; the accidental weight stays permanent, since neither the obliquity of cord a b nor the equality of cord b c is altered.

Due figure con numeri.

Figura con lettere e numeri.

A lato della figura:

Figura con lettere e numeri.

A lato della figura:

Figura con lettere.

A lato della figura:

Two figures with numbers.

Figure with letters and numbers.

Beside the figure:

Figure with letters and numbers.

Beside the figure:

Figure with letters.

Beside the figure:

Balance arms and weights hung from angled cords

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Rule for the counterweight of a balance

Natural gravity unchanged by the angle of the cords

Real arms versus potential arms

Only the natural weight altered