## 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

Results 1-5 of 72

Page vii

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**fractions**... 145 Vulgar**fractions**41 39 Involution and evolution 147 141 Reduction 42 40 Powers and roots of mono- Addition Subtraction ... 50 46 mials 147 141 51 47 Square root of compound Multiplication 51 48 expressions 148 146 ... Page 3

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**Fractions**. Unity , or an Unit , is that by which every thing is regarded as one ; being the beginning of number ; as , one man , one ball , one gun . Number is either simply one , or a compound of several units ; as , one man , three ... Page 17

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**fractions**being all to be divided by the suc- cessive divisors ( they forming parts of the numbers successively divided ) we have 12 r3 da di r4 dз r5 a1 + d d2 + d , dqd + d , da da d1 + d1 d2 d d d + di Τι + ... + . Reducing these to ... Page 27

... 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

... 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 37

... habits , and practice of mankind , it has not been considered desirable to alter it here . Ex . 2. An engineer having raised 100 yards of RULE OF THREE . 37 36 Division 140 Compound proportion 40 Continued

... habits , and practice of mankind , it has not been considered desirable to alter it here . Ex . 2. An engineer having raised 100 yards of RULE OF THREE . 37 36 Division 140 Compound proportion 40 Continued

**fractions**145.### 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