## 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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Page vii

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**Algebraic**Fractions Reduction 136 137 132 137 132 Compound subtraction 30 28 multiplication . 32 30 Addition Subtraction 141 137 142 138 division 34 32 Multiplication 143 139 Rule of three . 36 34 Division 144 140 Compound proportion 40 ... Page 27

... 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

... 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 48

... with this rule , both on account of the facility which it gives in actual reductions , and especially in the reductions that occur in

... with this rule , both on account of the facility which it gives in actual reductions , and especially in the reductions that occur in

**algebraic**fractions and equations . CASE VIII . To find the value of a fraction 48 ARITHMETIC . Page 66

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**algebraic**form of the square of any number of terms , whether two or three or more . Thus ( a + b ) 2 = a2 + 2ab + b2 = , a2 + ( 2a + b ) b , the square of two terms ; where it appears that a is the first term of the root , and b the ... Page 70

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**algebraic**expression for the cube of a binomial will render the truth of this rule very obvious . For ( a + b ) 3 = a3 + 3a2 + 3ab2 + b3 = a3 + { 3a2 + ( 3a + b ) × b } b , the last form of which is exactly that whose composition is ...### 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