First - a dc-eg-i-fn-b-r-314
d c and d a are the real arms of the balance, and d i is one of the potential arms of this balance, and c r is the real appendage of the arm d c. But the appendage of the opposite arm d a is a n: it divides into three parts, being of three natures, of which a e is the real appendage, e i is the potential, i n is the scientific or calculatory [part], because with such a part of the appendage the potential line g f is divided at the point n, and the potential balance is made with the arms n f and n g.

Second – f – c a b - d g e – 4 m n 4 S 8. In the second balance a b c, of real arms a b and a c, its appendages b S on one side and c e and c d on the other side are real; but its potential arms are a f and a g, and the potential appendages are f c and g c, which join at c with the real appendage c d. But because here the real arm a b is worth the two potential arms a f and a g, the appendages of those potential arms f c and g c are themselves also potential and join with the real appendage c d at the point c. Now because the real arm a b is worth the 2 potential arms a f and a g, the weights n m are worth the weight of the real arm S.

2 2 4

c a b – h – d – f e - (I) K L - p
The real members of the balance a b c are: its arms are a b and a c, and its appendages are b L and c d; and from this appendage c d are born the two compound appendages d f p and d e K.

n – c – b p a – 2 2 – 4 m
a b weighs against p with all the weights attached to the whole cord m n p.

m n o – a t – S – p o f