.1011 .-J ~J **SJ** a ~j J~~ ~

~ ~ **SJ**.J,J I v - I,

Oscan, in order to represent D, introduced later a form **SJ**, thus creating confusion between the symbols for d and for r.

If the length of the arms AC =BC =/,CD =a,SD=s, the angle of deviation of ° Z the balance from the horizontal =4), the weight of the beam alone G, the weight on one side = P, that on the other = P +Z, and lastly the weight of each scale with its appurtenances = Q then Zl tan:473 - 12 (P+Q)+Z la+G **sj** From this it is inferred that the deviation, and therefore the sensitive - ness, of the balance increases with the length of the beam, and de - creases as the distances, a and s, increase; also, that a heavy balance is, ceteris paribus, less sensitive than a light one, and that the sensitive - ness decreases continually the greater the weight put upon the scales.