## Elementary Trigonometry |

### Other editions - View all

### Common terms and phrases

1+tan A.cos algebraical angle EOP angle of elevation Balliol College base bisect centre CHAPTER circle circular measure circumference College cos² cos³ cosec cosine decimal denote diameter Draw PM equal equation express find log find the angle Find the height find the logarithms find the number find the value following angles following relations formulæ FRANCIS STORR given angle Given log Hence horizontal plane inches increases inscribed L sin loga magnitude Marlborough College miles negative number whose logarithm Observe the angles perimeter perpendicular Prove the following radius regular polygon represented revolving line right angles right-angled triangle Rugby School sec² Sexagesimal shew sides sin² sin³ sine subtends an angle suppose tables tan² tangent tower triangle ABC Trigono Trigonometrical Ratios Trinity College unit of circular versin yards π π ОР

### Popular passages

Page 110 - The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m=a*, x is called the logarithm of m to the base a.

Page 158 - A person standing at the edge of a river observes that the top of a tower on the edge of the opposite side subtends an angle of 55°...

Page 14 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...

Page 198 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.

Page 113 - The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm of the divisor.

Page 113 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 51 - From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30° and 60° respectively ; required the height of the column.

Page 180 - At a distance of 200 yards from the foot of a church tower, the angle of elevation of the top of the tower was 30°, and of the top of the spire on the tower 32°.

Page 218 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.

Page 179 - The angular elevation of a tower at a place A due south of it is 30° ; and at a place B due west of A, and at...