+ Increased by.

Diminished by. X Multiplied by. • Divided by.

Equal to.

Since, or seeing that. .. Hence, or therefore.

: Indicates the quotient of one divided by the other of the quantities it connects, called sometimes the ratio of the quantities.

:: Indicates an equality of ratios, and connects equal ratios in a proportion. Thus, a :b::c: d indicates that a = b= • d; or it may be read, a is to b as c is to d.

( ) Brackets indicate that the operations embraced by them shall first be performed, and the result treated as a single factor in the remaining processes required by a formula. Thus, (a X b) = (a + b) requires that the product of a and 0 shall be divided by their sum.

A2. A small secondary figure annexed thus to an expression is called its exponent. It requires the principal to which it is attached to be used as many times in continued multiplication as there are units in the exponent. Thus, A? = A X A; A3 = A X A X A, which is called the cube, or third power, of A.

✓ This is called the square root sign: it signifies that the square root of the quantity covered by it is to be taken.

Ý If preceded by a small secondary figure, called the index, as in the marginal figure, it indicates that the cube root of the quantity covered by it shall be taken; and so on.

Ñ If the index be fractional, as in the marginal figure, it requires that the square root of the third power of the quantity covered shall be taken. B. M. Bench-mark : any fixed reference point for the level,

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