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 42
... Fraction , is a single expression , denoting any number of parts of the integer ; as , 3 , or 1 . A Compound Fraction , is the fraction of a fraction , or two or more fractions connected with the word of between them ; as of , or of ...
... Fraction , is a single expression , denoting any number of parts of the integer ; as , 3 , or 1 . A Compound Fraction , is the fraction of a fraction , or two or more fractions connected with the word of between them ; as of , or of ...
Page 43
... conduce to ready re - examination of the work to draw the horizontal lines above each final remainder through the side lines , as in the example . Ex . 2. To find the greatest common measure of REDUCTION OF VULGAR FRACTIONS . 43.
... conduce to ready re - examination of the work to draw the horizontal lines above each final remainder through the side lines , as in the example . Ex . 2. To find the greatest common measure of REDUCTION OF VULGAR FRACTIONS . 43.
Page 44
... fraction will be in its lowest terms . * That dividing both the terms of the fraction by the same number , whatever it be , will give another fraction equal to the former , is evident . And when these divisions are performed as often as ...
... fraction will be in its lowest terms . * That dividing both the terms of the fraction by the same number , whatever it be , will give another fraction equal to the former , is evident . And when these divisions are performed as often as ...
Page 45
... fraction required , of the same value as at first . EXAMPLES . 1. Reduce to its least terms . 216 288 = 216 ) 288 ... fraction . * MULTIPLY the integer or whole number by the denominator of the fraction , and to the product add the ...
... fraction required , of the same value as at first . EXAMPLES . 1. Reduce to its least terms . 216 288 = 216 ) 288 ... fraction . * MULTIPLY the integer or whole number by the denominator of the fraction , and to the product add the ...
Page 46
... fraction required . EXAMPLES . 1. Reduce 9 to a fraction whose denominator shall be 7 . Here 9 × 7 63 : then 3 is the Answer ; = For 36379 , the Proof . 2. Reduce 12 to a fraction whose denominator shall be 13 . 3. Reduce 27 to a ...
... fraction required . EXAMPLES . 1. Reduce 9 to a fraction whose denominator shall be 7 . Here 9 × 7 63 : then 3 is the Answer ; = For 36379 , the Proof . 2. Reduce 12 to a fraction whose denominator shall be 13 . 3. Reduce 27 to a ...
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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