A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 90
... hence we may collect together the numerical factors in the above product , and effect their multiplication by the rules of arithmetic ; the above expression will then become 4 × 5 × 6 a b c d e f m np , or , 120 a b c d e f m np . 16 ...
... hence we may collect together the numerical factors in the above product , and effect their multiplication by the rules of arithmetic ; the above expression will then become 4 × 5 × 6 a b c d e f m np , or , 120 a b c d e f m np . 16 ...
Page 97
Composed for the Use of the Royal Military Academy Charles Hutton William Ramsay. Hence it appears that , The square of the difference of two quantities is equal to the square of the first , plus the square of the second , minus twice ...
Composed for the Use of the Royal Military Academy Charles Hutton William Ramsay. Hence it appears that , The square of the difference of two quantities is equal to the square of the first , plus the square of the second , minus twice ...
Page 98
... Hence we shall obtain the quantity sought if we divide 72 , the co- efficient of the dividend , by 8 , the coefficient of the divisor , and subtract 3 , the exponent of a in the divisor , from 5 , the exponent of a in the dividend ; we ...
... Hence we shall obtain the quantity sought if we divide 72 , the co- efficient of the dividend , by 8 , the coefficient of the divisor , and subtract 3 , the exponent of a in the divisor , from 5 , the exponent of a in the dividend ; we ...
Page 109
... Hence it follows , that if ɑ " —1 -b " . 1 is divisible by a — -b , an . b " will also be di- visible by a b . That is to say , that if the difference of the same powers of a certain degree of two quantities is divisible by their ...
... Hence it follows , that if ɑ " —1 -b " . 1 is divisible by a — -b , an . b " will also be di- visible by a b . That is to say , that if the difference of the same powers of a certain degree of two quantities is divisible by their ...
Page 110
... Hence appears that every divisor of A and B is a divisor of R , also , and the problem is now reduced to finding the greatest common measure of B and R 1. If B be exactly divisible by R1 , it is manifest that R1 is the greatest common ...
... Hence appears that every divisor of A and B is a divisor of R , also , and the problem is now reduced to finding the greatest common measure of B and R 1. If B be exactly divisible by R1 , it is manifest that R1 is the greatest common ...
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algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards