A Course of Mathematics: Composed for the Use of the Royal Military Academy |
From inside the book
Results 1-5 of 51
Page
... Algebraic Fractions 118 46 Extraction of Roots . 126 Division of Vulgar Fractions . 47 Binomial Theorem 172 Rule of Three in Vulgar Fractions 48 Ratios and Proportion 185 Decimal Fractions 48 Equations -- Preliminary Remarks 196 ...
... Algebraic Fractions 118 46 Extraction of Roots . 126 Division of Vulgar Fractions . 47 Binomial Theorem 172 Rule of Three in Vulgar Fractions 48 Ratios and Proportion 185 Decimal Fractions 48 Equations -- Preliminary Remarks 196 ...
Page 59
... algebraic form of the square of any number of terms , whether two , or three , or more . Thus , a + b ) 2 = a2 + 2ab + b2 = aa + 2a + b . b , the square of two terms ; where it appears , that a is the first term of the root , and b the ...
... algebraic form of the square of any number of terms , whether two , or three , or more . Thus , a + b ) 2 = a2 + 2ab + b2 = aa + 2a + b . b , the square of two terms ; where it appears , that a is the first term of the root , and b the ...
Page 62
... algebraic expression for the cube of a binomial . Thus ( a + b ) 3 = a3 + 3 a2 b + 3 ab2 + b3 ; then by the rule ( 1 ) ( 11 ) ( 111 ) a a2 a3 + 3a2b + 3ab2 + b3 ( a + b = root . a 2a a3 2a a За 3a2 3ab + b2 3a2 + 3ab +62 3a2b + 3ab2 + ...
... algebraic expression for the cube of a binomial . Thus ( a + b ) 3 = a3 + 3 a2 b + 3 ab2 + b3 ; then by the rule ( 1 ) ( 11 ) ( 111 ) a a2 a3 + 3a2b + 3ab2 + b3 ( a + b = root . a 2a a3 2a a За 3a2 3ab + b2 3a2 + 3ab +62 3a2b + 3ab2 + ...
Page 69
... Algebraic part of this work . A few examples may here be added of the theorems , just delivered , with some problems con- cerning mean proportionals . EXAMPLES . 1. The least of ten terms , in geometrical progression , being 1 , and the ...
... Algebraic part of this work . A few examples may here be added of the theorems , just delivered , with some problems con- cerning mean proportionals . EXAMPLES . 1. The least of ten terms , in geometrical progression , being 1 , and the ...
Page 87
... algebraic language , that is , by aid of algebraic symbols , is called an algebraic quantity , or , a literal quantity , or , an algebraic expression . Thus 3 a is the algebraic expression for three times the number a ; 5 a2 is the ...
... algebraic language , that is , by aid of algebraic symbols , is called an algebraic quantity , or , a literal quantity , or , an algebraic expression . Thus 3 a is the algebraic expression for three times the number a ; 5 a2 is the ...
Other editions - View all
Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards