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 41
... : being the remainder after division . Also , both these numbers are in general named the Terms of the Fraction . Fractions are either Proper , Improper , Simple , Compound VULGAR FRACTIONS . 41 Vulgar fractions 41 Involution and evolution ...
... : being the remainder after division . Also , both these numbers are in general named the Terms of the Fraction . Fractions are either Proper , Improper , Simple , Compound VULGAR FRACTIONS . 41 Vulgar fractions 41 Involution and evolution ...
Page 42
... Fraction , is when the numerator is less than the denominator ; as , , or 3 , or 3 . An Improper Fraction , is when ... VULGAR FRACTIONS . REDUCTION of Vulgar Fractions , is the bringing them out of one form or denomination into another ...
... Fraction , is when the numerator is less than the denominator ; as , , or 3 , or 3 . An Improper Fraction , is when ... VULGAR FRACTIONS . REDUCTION of Vulgar Fractions , is the bringing them out of one form or denomination into another ...
Page 45
... fraction by their greatest 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 ... VULGAR FRACTIONS . 4.5.
... fraction by their greatest 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 ... VULGAR FRACTIONS . 4.5.
Page 47
... fraction . 1 X 2 X 3 6 24 > = the Answer . Or , 1 x 7 x 8 = 7 × 8 × 4 by cancelling 2 and 3 . 2. Reduce of off to a simple fraction . 4. Reduce of of to a simple fraction . Here 2 X 3 X 10 = 60 165 12 = 33 Or , 3 x ... VULGAR FRACTIONS . 47.
... fraction . 1 X 2 X 3 6 24 > = the Answer . Or , 1 x 7 x 8 = 7 × 8 × 4 by cancelling 2 and 3 . 2. Reduce of off to a simple fraction . 4. Reduce of of to a simple fraction . Here 2 X 3 X 10 = 60 165 12 = 33 Or , 3 x ... VULGAR FRACTIONS . 47.
Page 49
... fraction in parts of the integer . MULTIPLY the integer by the numerator , and divide the product by the denominator , by compound multiplication and division , if the integer be a compound quantity ... VULGAR FRACTIONS . 49 Rule of three 52.
... fraction in parts of the integer . MULTIPLY the integer by the numerator , and divide the product by the denominator , by compound multiplication and division , if the integer be a compound quantity ... VULGAR FRACTIONS . 49 Rule of three 52.
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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