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added addition affected algebraic amount becomes called Clearing Cloth coefficient common common measure Compasses complete containing continued cube Decompose denominator denotes derivative difference Divide dividend divisible divisor equal equation EXAMPLES exponent expression Extract the square factors figure Find the numerical Find the sum find the values fourth fraction function Given gives greater greatest common half Hence hour increased inequality infinite known last term least less lettered logarithm manner means method miles Multiply negative obtain original perfect square permutations person polynomial positive pound preceding problem progression question quotient radical real roots receive Reduce remainder result rule second degree second term shillings similar simplest form solution square root substitution subtract successive taken term third Transform travelled twice unknown quantity value of x whence whole zero
Side 59 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Side 12 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Side 59 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Side 43 - A footman agreed to serve his master for £8 a year and a livery, but was turned away at the end of 7 months, and received only £2 13s.
Side 89 - ... that the intensity of light varies inversely as the square of the distance.
Side 54 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Side 88 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.