A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page vii
... 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 ...
... 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 48
... algebraic fractions and equations . CASE VIII . To find the value of a fraction 48 ARITHMETIC . Algebraic Fractions.
... algebraic fractions and equations . CASE VIII . To find the value of a fraction 48 ARITHMETIC . Algebraic Fractions.
Page 66
... 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 ...
... 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
... 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 ...
... 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 ...
Page 81
... algebraic part of this work . A few examples may here be added . EXAMPLES . 1. The least of ten terms in geometrical progression being 1 , and the ratio 2 ; what is the greatest term , and the sum of all the terms ? Ans . , the greatest ...
... algebraic part of this work . A few examples may here be added . EXAMPLES . 1. The least of ten terms in geometrical progression being 1 , and the ratio 2 ; what is the greatest term , and the sum of all the terms ? Ans . , the greatest ...
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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