# An Elementary Treatise on Plane Trigonometry

University Press, 1896 - Plane trigonometry - 312 pages

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### Contents

 CHAPTER 1 CHAPTER IL 21 CHAPTER III 32 CHAPTER IV 42 CHAPTER V 54 CHAPTER VI 64 CHAPTER VIII 101 CHAPTER IX 110
 CHAPTER XV 171 CHAPTER XVI 190 CHAPTER XVII 210 CHAPTER XVIII 229 CHAPTER XX 243 CHAPTER XXI 258 Miscellaneous Examples 266279 266 Examination Papers 280300 280

 CHAPTER XII 141 CHAPTER XIV 159

### Popular passages

Page 52 - 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 206 - 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 a distance a from it, the elevation is 18°...
Page 196 - A person standing on the bank of a river observes the elevation of the top of a tree on the opposite bank to be 51°...
Page 219 - The three perpendiculars from the vertices of a triangle to the opposite sides (produced if necessary) are called the altitudes...
Page 287 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 111 - C = 1 + 4 sin £A sin £B sin £C. 37. tan A + tan B + tan C = tan A tan B tan C.
Page 201 - A lighthouse facing N. sends out a fan-shaped beam extending from NE to NW A steamer sailing due W. first sees the light when 5 miles away from the lighthouse and continues to see it for 30^/2 minutes. What is the speed of the steamer 1 5.