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 68
... respective terms of the root required ; which is the best way if the denominator be a com- plete power : but if it be not , then 2. Multiply the numerator and denominator together ; take the root of the product : this root being made ...
... respective terms of the root required ; which is the best way if the denominator be a com- plete power : but if it be not , then 2. Multiply the numerator and denominator together ; take the root of the product : this root being made ...
Page 71
... respectively triple the new root and triple its square ; and we may proceed with them to find a new root figure , and complete the operation as in rules 3 and 4 . Note . After about one - third of the number of figures in the root have ...
... respectively triple the new root and triple its square ; and we may proceed with them to find a new root figure , and complete the operation as in rules 3 and 4 . Note . After about one - third of the number of figures in the root have ...
Page 72
... respectively . The trial divisor 3888 is found to be contained 4 times in 15725 , which is annexed to the former figures of the root making 364 , and to the column L making 1084. This multiplied by 4 and added to м gives 393136 ; and ...
... respectively . The trial divisor 3888 is found to be contained 4 times in 15725 , which is annexed to the former figures of the root making 364 , and to the column L making 1084. This multiplied by 4 and added to м gives 393136 ; and ...
Page 73
... respectively . Ex . 10. Find the square of the cube root of 1000 , and likewise of · 001 : and the cube of the square root of 100 and '01 ; and determine the product of these four results . TO EXTRACT ANY ROOT WHATEVER * . LET P be the ...
... respectively . Ex . 10. Find the square of the cube root of 1000 , and likewise of · 001 : and the cube of the square root of 100 and '01 ; and determine the product of these four results . TO EXTRACT ANY ROOT WHATEVER * . LET P be the ...
Page 90
... respectively . Likewise let the quantities taken be x , y , z , v . Then Mean m Prices . m + a m + b Quantities . x y c m- m- 2 บ - c , and m ― d Then if each quantity be multiplied by its price , the sum of the pro- ducts will ...
... respectively . Likewise let the quantities taken be x , y , z , v . Then Mean m Prices . m + a m + b Quantities . x y c m- m- 2 บ - c , and m ― d Then if each quantity be multiplied by its price , the sum of the pro- ducts will ...
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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