A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 15
... this must be added to the second remainder 6 , 6X7 + 1 43 making 6 ; to the divisor 8 , or to be divided by 8. But 6 ; = and this divided by 8 ~ 7 gives 43 7X8 43 56 2. Divide 7014596 by 72 . 3. Divide 5130652 by DIVISION . 15.
... this must be added to the second remainder 6 , 6X7 + 1 43 making 6 ; to the divisor 8 , or to be divided by 8. But 6 ; = and this divided by 8 ~ 7 gives 43 7X8 43 56 2. Divide 7014596 by 72 . 3. Divide 5130652 by DIVISION . 15.
Page 52
... gives the dividend , therefore the number of decimal places in the dividend is equal to those in the divisor and quotient taken together , by the nature of Multiplication ; and consequently the quotient itself must contain as many as ...
... gives the dividend , therefore the number of decimal places in the dividend is equal to those in the divisor and quotient taken together , by the nature of Multiplication ; and consequently the quotient itself must contain as many as ...
Page 64
... gives the true root nearly . That is , n + I A + n − 1 . N : n + 1 .N + n 1. A : 7 : R. • - Or , n + 1. A + n 1.N : ANr : Rr . And the operation may be repeated as often as we please , by using always the last found root for the ...
... gives the true root nearly . That is , n + I A + n − 1 . N : n + 1 .N + n 1. A : 7 : R. • - Or , n + 1. A + n 1.N : ANr : Rr . And the operation may be repeated as often as we please , by using always the last found root for the ...
Page 66
... gives double the sum of all the terms in the series . This is made evident by setting the terms of the series in an inverted order under the same series in a direct order , and adding the corresponding terms together in that order ...
... gives double the sum of all the terms in the series . This is made evident by setting the terms of the series in an inverted order under the same series in a direct order , and adding the corresponding terms together in that order ...
Page 67
... give the greater ; or subtract it from the greater to give the less . EXAMPLES . 1. Given the least term 3 , the common difference 2 , of an arithmetical series of 9 terms ; to find the greatest term , and the sum of the series ? 2 8 16 ...
... give the greater ; or subtract it from the greater to give the less . EXAMPLES . 1. Given the least term 3 , the common difference 2 , of an arithmetical series of 9 terms ; to find the greatest term , and the sum of the series ? 2 8 16 ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards