A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page vii
... square root ... 66 62 cube root 69 64 any root ... 73 69 Progressions and ratios ... 75 79 Arithmetical progression 76 80 neous Geometrical progression 79 82 Harmonical progression 82 85 Single fellowship Double fellowship .. Simple ...
... square root ... 66 62 cube root 69 64 any root ... 73 69 Progressions and ratios ... 75 79 Arithmetical progression 76 80 neous Geometrical progression 79 82 Harmonical progression 82 85 Single fellowship Double fellowship .. Simple ...
Page 6
... square root of the number 3 . 3/5 , or 5 denotes the cube root of the number 5 . 72 , denotes that the number 7 is to be squared . 83 , denotes that the number 8 is to be cubed . 26 signifies the difference between 2 and 6 . & c . & c ...
... square root of the number 3 . 3/5 , or 5 denotes the cube root of the number 5 . 72 , denotes that the number 7 is to be squared . 83 , denotes that the number 8 is to be cubed . 26 signifies the difference between 2 and 6 . & c . & c ...
Page 44
... the sign of multiplication between them , only one of them must 10 × 8 × 3_10 × 4 × 3_10 × 4 × 1_10 × 2 × 1_20_ be divided . Thus , = = 6x2 6x1 20 . 2x1 1x1 Or , Divide both the terms of the fraction by 44 ARITHMETIC . 51 Square root.
... the sign of multiplication between them , only one of them must 10 × 8 × 3_10 × 4 × 3_10 × 4 × 1_10 × 2 × 1_20_ be divided . Thus , = = 6x2 6x1 20 . 2x1 1x1 Or , Divide both the terms of the fraction by 44 ARITHMETIC . 51 Square root.
Page 65
... root . A Power is a quantity produced by multiplying any given number , called the Root , a certain number of times continually by itself . Thus , 2 = X 2 = 2 is the root , or 1st power of 2 ; 4 is the 2d power , or square of 2 ; 2 2 X ...
... root . A Power is a quantity produced by multiplying any given number , called the Root , a certain number of times continually by itself . Thus , 2 = X 2 = 2 is the root , or 1st power of 2 ; 4 is the 2d power , or square of 2 ; 2 2 X ...
Page 66
... root of any number , or power , is such a number , as being multiplied into itself a certain number of times , will produce that power . Thus , 2 is the square root , or 2d root of 4 , because 2 ? = 2 × 2 = 4 ; and 3 is the cube root or 3d ...
... root of any number , or power , is such a number , as being multiplied into itself a certain number of times , will produce that power . Thus , 2 is the square root , or 2d root of 4 , because 2 ? = 2 × 2 = 4 ; and 3 is the cube root or 3d ...
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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