## 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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Page 89

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**base**metal , which is called the alloy , and the mixture is said to be of so many carats fine , according to the proportion of pure gold contained in it : thus , if 22 carats of pure gold , and 2 of alloy be mixed together , it is said ... Page 88

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**base**metal , which is called the alloy , and the mixture is said to be of so many carats fine , according to the proportion of pure gold contained in it : thus , if 22 carats of pure gold , and 2 of alloy be mixed together , it is said ... Page 110

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**base**a was ' 001 , what would be the value of the expression ? And what if the given powers were 3 and 2 ? 16. Indicate the extraction of the 10th root of the 3d root of 105 x a 102 b both by radicals and indices . b2 1000 and of 17 ... Page 248

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**base**of the system , N the number , and the logarithm of N to the**base**a . This is generally denoted by the equation , x = log , N , or x = 1 , N , where the**base**of the system is written as a subscribed letter to the contractions " log ... Page 249

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**base**of the system may be . 6. The logarithm of the**base**in every system is 1 . For a1a , or log , a = 1 . 7. The logarithm of 1 in every system is 0 . For ao 1 , or log , 1 = 0 . 8. If a table of logarithms be calculated to any one ...### 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