## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

Results 1-5 of 41

Page vii

... root ... 66 62

... 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 interest ... Page 6

... root of the number 3 . 3/5 , or 5 denotes the

... 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 . & c ... Page 46

... fraction and a third will be the same as a compound fraction of two parts ; and so on to the last of all . 1. Reduce Here = 2 X 3 X 4 EXAMPLES 46 ARITHMETIC . compound Multiplication 51 expressions 146 Division 52

... fraction and a third will be the same as a compound fraction of two parts ; and so on to the last of all . 1. Reduce Here = 2 X 3 X 4 EXAMPLES 46 ARITHMETIC . compound Multiplication 51 expressions 146 Division 52

**Cube root**of ditto 149. Page 65

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**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 2 X 2 = 2 × 2 × 2 × 2 = 8 is the 3d power , or**cube**...**root**, 2 of the 2nd power or ... 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

... 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 ...### Other editions - View all

### 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