A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 39
... expression of a part , or some parts , of something considered as a whole . It is denoted by two numbers , placed one below the other , with a line between them ; thus , 3 numerator denominator which is named three - fourths . The ...
... expression of a part , or some parts , of something considered as a whole . It is denoted by two numbers , placed one below the other , with a line between them ; thus , 3 numerator denominator which is named three - fourths . The ...
Page 76
... more on the subject of Interest , with the algebraical expression and investigation of the rules , at the end of the Algebra , next following . COMPOUND INTEREST COMPOUND INTEREST , called also Interest upon Interest 76 ARITHMETIC .
... more on the subject of Interest , with the algebraical expression and investigation of the rules , at the end of the Algebra , next following . COMPOUND INTEREST COMPOUND INTEREST , called also Interest upon Interest 76 ARITHMETIC .
Page 83
... expression . Thus 3 a is the algebraic expression for three times the number a ; 5 a ' is the algebraic expression for five times the square of the number a ; 7 a5 b3 is the algebraic expression for seven times the fifth power of a ...
... expression . Thus 3 a is the algebraic expression for three times the number a ; 5 a ' is the algebraic expression for five times the square of the number a ; 7 a5 b3 is the algebraic expression for seven times the fifth power of a ...
Page 84
... expression becomes 10 ab - 6 a3 c d + 4 m n . Again , take the polynomial , but , 3 24 bc - 3 abc1 + 2 b1 c3 — 5pq - 6 abc ' + 3 m2 z -2pq , 2 3 24 b c + 2 b2 c3 - 3abc - 6 a b c — 5 p q - 2 p q — 3 m3 z ; 2 3 24 b c3 + 2b ' c 8 5 p q 2 ...
... expression becomes 10 ab - 6 a3 c d + 4 m n . Again , take the polynomial , but , 3 24 bc - 3 abc1 + 2 b1 c3 — 5pq - 6 abc ' + 3 m2 z -2pq , 2 3 24 b c + 2 b2 c3 - 3abc - 6 a b c — 5 p q - 2 p q — 3 m3 z ; 2 3 24 b c3 + 2b ' c 8 5 p q 2 ...
Page 85
... expression which does not ad- mit of simplification . If it were required to add together the monomials , 5 ab , 3c , 4 a 2b , 6 a b c 2 ab , 7 c , the result would be , 5a2b + 3c + 4 a2 b + 6 a ADDITION . 85 Reduction,
... expression which does not ad- mit of simplification . If it were required to add together the monomials , 5 ab , 3c , 4 a 2b , 6 a b c 2 ab , 7 c , the result would be , 5a2b + 3c + 4 a2 b + 6 a ADDITION . 85 Reduction,
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Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards