## 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

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**obtaining**those results which flow from any given methods of combining given numbers ; but which results could , in the absence of these compendious methods , only be ascertained by counting the numbers themselves into one single and ... Page 42

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**obtained**by dividing the numerator by the denominator : so is equal to 3 , and is equal to 4 . Hence then , if the numerator be less than the denominator , the value of the fraction is less than 1. But if the numerator be the same as ... Page 68

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**obtained**simply by division . 3. What is the square root of 2025 ? 4. What is the square root of 17.3056 ? 5. What is the square root of ' 000729 ? 6. What is the square root of 3 ? 7. What is the square root of 5 ? 8. What is the ... Page 71

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**obtained**( or one - third of the number intended to be taken into account if the root be interminable ) we may ...**obtaining**the remaining third of the figures will be identical with that for Contracted Division , p . 59 . Ex . 1 ... Page 72

... Ex . 6. Extract the cube root of 3 to six places ; and also the cube root of 6 : and show how the cube root of 2 , of 12 , and of 18 , may be

... Ex . 6. Extract the cube root of 3 to six places ; and also the cube root of 6 : and show how the cube root of 2 , of 12 , and of 18 , may be

**obtained**from these . Ex . 7. Find how many more figures are required 72 ARITHMETIC .### 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