## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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**denominator**, we have r1 d2 dз d4 d5 ... + r2 dz d4 d5 . + r3d4 d5 + r4d5 . +15 ... di d2 d . d4 d5 . .... where the continuing dots express that the multiplication and addition are to be carried to the extent of embracing all the terms ... Page 41

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**denominator**} which is named 3 - fourths . The**Denominator**, or number placed below the line , shows how many equal parts the whole quantity is divided into ; and it represents the Divisor in Division . And the Numerator , or number set ... Page 42

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**denominator**; as , , or 3 , or 3 . An Improper Fraction , is when the numerator is equal to , or exceeds , the**denominator**; as , or { , or 7. In these cases the fraction is called improper , because it is equal to or exceeds unity . A ... Page 45

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**denominator**of the fraction , and to the product add the numerator ; then set that sum above the**denominator**for the fraction required . EXAMPLES . 1. Reduce 23 to a fraction . 23 5 Or the work may be written thus , when the ... Page 46

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**denominator**. * MULTIPLY the whole number by the given**denominator**; then set the pro- duct over the said**denominator**, and it will form the fraction required . EXAMPLES . 1. Reduce 9 to a fraction whose**denominator**shall be 7 . Here 9 ...### Other editions - View all

### 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