A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 39
... equal parts the whole quantity is divided into ; and represents the Divisor in Division . And the Numerator , or number set above the line , shows how many of those parts are expressed by the Fraction ; being the remainder after ...
... equal parts the whole quantity is divided into ; and represents the Divisor in Division . And the Numerator , or number set above the line , shows how many of those parts are expressed by the Fraction ; being the remainder after ...
Page 66
... equal to the sum of any two means that are equally distant from them , or equal to double the middle term when there is an uneven number of terms . Thus , in the terms 1 , 3 , 5 , it is 1 + 5 = 3 + 3 = 6 . And in the series 2 , 4 , 6 ...
... equal to the sum of any two means that are equally distant from them , or equal to double the middle term when there is an uneven number of terms . Thus , in the terms 1 , 3 , 5 , it is 1 + 5 = 3 + 3 = 6 . And in the series 2 , 4 , 6 ...
Page 69
... equal to the product of any two means that are equally distant from them , or equal to the square of the middle term when there is an uneven number of terms . Thus , in the terms 2 , 4 , 8 , it is 2 X 8 = 4 × 4 = 16 . And in the series ...
... equal to the product of any two means that are equally distant from them , or equal to the square of the middle term when there is an uneven number of terms . Thus , in the terms 2 , 4 , 8 , it is 2 X 8 = 4 × 4 = 16 . And in the series ...
Page 82
... equal to , and when placed between two numbers denotes that they are equal to each other . d sig- Thus 56 + 6 = 62 signifies that the sum of 56 and 6 is equal to 62. In like manner , a = b signifies that a is equal to b , and a + b = c ...
... equal to , and when placed between two numbers denotes that they are equal to each other . d sig- Thus 56 + 6 = 62 signifies that the sum of 56 and 6 is equal to 62. In like manner , a = b signifies that a is equal to b , and a + b = c ...
Page 153
... equal to twice the less of the two numbers , plus unity . Thus the difference between the squares of 348 and 347 is equal to 2 × 347 + 1 , or 695 . Let us now proceed to investigate a process for the extraction of the square root of any ...
... equal to twice the less of the two numbers , plus unity . Thus the difference between the squares of 348 and 347 is equal to 2 × 347 + 1 , or 695 . Let us now proceed to investigate a process for the extraction of the square root of any ...
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Common terms and phrases
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 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 positive 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