A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 82
... coefficient , then , is a number written to the left of another number , re- presented by one or more letters , and denotes the number of times that the given letter , or , combination of letters , is to be repeated . When no coefficient ...
... coefficient , then , is a number written to the left of another number , re- presented by one or more letters , and denotes the number of times that the given letter , or , combination of letters , is to be repeated . When no coefficient ...
Page 85
... coefficient from the negative coefficient , and affect the result with the sign Thus , if we had 18 ab for the sum of the additive terms , and 25 a b for the sum of the subtractive terms , since 25 ab is the same thing as 18 a b2 - 7 a ...
... coefficient from the negative coefficient , and affect the result with the sign Thus , if we had 18 ab for the sum of the additive terms , and 25 a b for the sum of the subtractive terms , since 25 ab is the same thing as 18 a b2 - 7 a ...
Page 91
... coefficient , and if the same letter enter more than once as a factor , add together all its ex- ponents to form a new exponent for that letter . In those letters which have no exponent expressed , the exponent 1 is always understood ...
... coefficient , and if the same letter enter more than once as a factor , add together all its ex- ponents to form a new exponent for that letter . In those letters which have no exponent expressed , the exponent 1 is always understood ...
Page 97
... coefficient , when mul- tiplied by 8 , will give for a product the number 72 ; and the exponent of the letter a in that quantity must be such , that when added to 3 , the exponent of a in the divisor , it shall give for the sum the ...
... coefficient , when mul- tiplied by 8 , will give for a product the number 72 ; and the exponent of the letter a in that quantity must be such , that when added to 3 , the exponent of a in the divisor , it shall give for the sum the ...
Page 98
... co- efficient of the dividend , by 8 , the coefficient of the divisor , and subtract 3 , the exponent of a in the divisor , from 5 , the exponent of a in the dividend ; we shall thus have 72 a 5 8a3 3 = 9 a 2 ; and this result is ...
... co- efficient of the dividend , by 8 , the coefficient of the divisor , and subtract 3 , the exponent of a in the divisor , from 5 , the exponent of a in the dividend ; we shall thus have 72 a 5 8a3 3 = 9 a 2 ; and this result is ...
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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