A Treatise of Plane and Spherical Trigonometry; In Theory and Practice Adapted to the Use of Students Extracted Mostly from Similar Works of Ludlam, Playfair, Vince, and Bonnycastle
A Treatise of Plane and Spherical Trigonometry; In Theory and Practice Adapted to the Use of Students Extracted Mostly from Similar Works of Ludlam, Playfair, Vince, and Bonnycastle
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1811 Excerpt: ...the bottom of the tower. 9. From the top of a castle on the shore, 156 yards above the level of the sea, the angle of depression of a ship is 56 40'. Required the distance of the ship both from the bqttom and the top of the castle. 10. There are three towns A, B, C; at A the towns B and C make an angle of 20 12'; at B ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1811 Excerpt: ...the bottom of the tower. 9. From the top of a castle on the shore, 156 yards above the level of the sea, the angle of depression of a ship is 56 40'. Required the distance of the ship both from the bqttom and the top of the castle. 10. There are three towns A, B, C; at A the towns B and C make an angle of 20 12'; at B the towns A and C make an angle of 38 30'; and the distance between A and B is 2-f miles. Required the distance between C and A, and C and B. 11. As I was walking on the sea-shore I observed an island, which made an angle of 95 20' with a straight line along the shore. At the distance of 650 links farther the island made an angle of 75 40' with my first station. Required its distance from the first station. '12. A man travels from A to B, 3 miles and T75; then, bending a little to the right, he goes from B to C, 4 miles and; at C he observes that A and B make an angle of 29 16'. Required his least distance from home. Answer. 7 miles. 13. A man travels from A to B, 3 miles and T7r; returning in a mist he loses his way, and going a little too much on the right hand comes to C, which is 4 miles and T75 from B. The weather now cleared up, and he could see both A and B, and observed that they made an angle of 22 16'. Required his distance from home. Answer. 12 mile. 14. There are three towns A, B, C. The distance between A and C is 3 miles and 3 furlongs, and the distance between B and C is 4 miles and 5 furlongs. Between A and B lies a large wood, which prevents these towns from being seen from each other, and their distance from being measured. However A and B are visible from C, and there make an angle of 71 2'. What is the distance between A and B? and how can a vista be cut through the wood, so that A and B may be seen from each other? 15. The...
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