## Logarithmic and Trigonometric Tables |

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### Common terms and phrases

according acute angle addition applicable base becomes calculation called characteristic circle compute Consequently constructed contains corresponding cosine course curve decimal places definitions denote determined direction discussion distance divide division equal equations error example EXERCISE expressed fact feet figure formulæ four fraction given gives graphic greater harmonic horizontal important inches known length limit line-segment logarithms magnitude mantissa means measure method motion namely natural negative observer obtained obtuse angle opposite plane positive problem Prove quadrant quantities radians radius ratios regarded relation remaining represent respectively result right triangle rule scale Show sides simple sine slide solution solve student subtraction tangent theorem tion trigonometric functions true unit usually values vertical write zero

### Popular passages

Page 85 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other upon that side.

Page 44 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.

Page 83 - ... in such a way as to reduce to a minimum the number of formulae and theorems which must be remembered.

Page 44 - The logarithm of a product is equal to the sum of the logarithms of its factors.

Page 50 - In general, since any number having n digits in its integral part lies between 10n-1 and 10", its logarithm lies between n - 1 and n, ie, is n - 1 + a decimal. We therefore have : (i.) The characteristic of the logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part. Eg, log 2756.3 = 3 + a decimal. Since a number less than 1 having no cipher immediately following the decimal point lies between 10° and 10-1, it follows from table (&) that...

Page 85 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.

Page 84 - These formulae contain the so-called law of sines, which may be expressed in words as follows : any two sides of a triangle are to each other as the sines of the opposite angles.

Page 101 - Fink not only discovered the law of tangents, but pointed out its principal application; namely, to aid in solving a triangle when two sides and the included angle are given.

Page 44 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 78 - ... stands, the angles of elevation of the top and bottom of the flagstaff are observed to be 60° and 45° respectively : find the height of the house above the point of observation.