A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 27
... 4 6 7 5 0 13 2 5 5 10 23 93 11 17 15 4 0 4 3 6 12 92 0 18 7 39 15 92 32 2 63 39 15 92 5 . 6 . 7 . 8 . £ s COMPOUND ADDITION . 27 Compound addition Table of Officers' 29 Least common multiple Algebraic Fractions Reduction 136 137 132.
... 4 6 7 5 0 13 2 5 5 10 23 93 11 17 15 4 0 4 3 6 12 92 0 18 7 39 15 92 32 2 63 39 15 92 5 . 6 . 7 . 8 . £ s COMPOUND ADDITION . 27 Compound addition Table of Officers' 29 Least common multiple Algebraic Fractions Reduction 136 137 132.
Page 42
... common measure of two or more numbers . The common measure of two or more numbers , is that number which will divide them all without remainder : so , 3 is a common measure of 18 and 24 ; the quotient of the former being 6 , and of the ...
... common measure of two or more numbers . The common measure of two or more numbers , is that number which will divide them all without remainder : so , 3 is a common measure of 18 and 24 ; the quotient of the former being 6 , and of the ...
Page 43
... common measure last found be the answer . If it happen that the common measure thus found is 1 ; then the numbers are said to be incommensurable , or not to have any common measure , or they are said to be prime to each other * . Ex . 1 ...
... common measure last found be the answer . If it happen that the common measure thus found is 1 ; then the numbers are said to be incommensurable , or not to have any common measure , or they are said to be prime to each other * . Ex . 1 ...
Page 44
... common measure of 246 and 372 ? 4. What is the greatest common measure of 324 , 612 , and 1032 ? CASE I. To abbreviate or reduce fractions to their lowest terms . Ans . 6 . Ans . 12 . * DIVIDE the terms of the given fraction by any ...
... common measure of 246 and 372 ? 4. What is the greatest common measure of 324 , 612 , and 1032 ? CASE I. To abbreviate or reduce fractions to their lowest terms . Ans . 6 . Ans . 12 . * DIVIDE the terms of the given fraction by any ...
Page 45
... common measure at once , and the quotients will be the terms of the fraction required , of the same value as at first . EXAMPLES . 1. Reduce to its least terms . 216 288 = 216 ) 288 ( 1 216 } } = 18 = } } == , the Answer . 72 ) 216 ( 3 ...
... common measure at once , and the quotients will be the terms of the fraction required , of the same value as at first . EXAMPLES . 1. Reduce to its least terms . 216 288 = 216 ) 288 ( 1 216 } } = 18 = } } == , the Answer . 72 ) 216 ( 3 ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence