Elements of Plane Trigonometry, Surveying and NavigationSanborn, Carter and Bazin, 1855 - 223 pàgines |
Altres edicions - Mostra-ho tot
Elements of Plane Trigonometry, Surveying and Navigation William Smyth Visualització de fragments - 1856 |
Elements of Plane Trigonometry, Surveying and Navigation William Smyth Previsualització no disponible - 2016 |
Frases i termes més freqüents
adjacent angles angle of elevation back sight base line bearing calculation called centre chain lines compass computed construction convenient corner cosecant cosine cotangent course and distance degrees determined diagonal difference of latitude difference of level difference of longitude direction distance sailed divided draw drawn example extended feet field book find the remaining gles height horizontal plane hypothenuse instrument length line AC logarithm manner mark measured Merid miles objects observed obtain offsets parallel perpendicular plane sailing plane triangle plot principal meridian quadrant remaining sides right angled triangle river road rods scale SECTION series of triangles side AB side BC similar triangles sine sine and cosine spirit level square stakes station subtract supposed surface survey tance tangent Theodolite tion triangle ABC fig Trigonometry vertical whence yards
Passatges populars
Pàgina 39 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Pàgina 59 - Ans. 23° 3' 55". 4. From the edge of a ditch 18 feet wide, surrounding a fort, I took the angle of elevation of the top of the wall and found it 62° 40...
Pàgina 59 - A line of 36 yards long will exactly reach from the top of a fort to the opposite bank of a river, known to be 24 yards broad ; the height of the wall is required.
Pàgina 48 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Pàgina 25 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Pàgina 202 - Radius, is to the tangent of the course; as the meridional difference of latitude, is to the Difference of longitude.
Pàgina 54 - Ans. 22| rods. We may find the distance between two objects which are in the same vertical plane with the perpendicular, by calculating the distance of each from the perpendicular. Thus, AG (Fig. 2.) is equal to the difference between AB and GB. PROBLEM II. To find the HEIGHT of an accessible object standing on an INCLINED PLANE. 9. MEASURE THE DISTANCE FROM THE OBJECT TO A CONVENIENT STATION, AND TAKE THE ANGLES WHICH THIS BASE MAKES WITH LINES DRAWN FROM ITS TWO ENDS TO THE TOP OF THE OBJECT. If...
Pàgina 61 - ... and 63° 41'. Find the distance of each ship from the fort. 235. From the summit 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.
Pàgina 60 - Wanting to know the breadth of a river, I measured a base of 500 yards in a straight line close by one side of it ; and at each end of this line I .found the angles subtended by the other end and a tree, close to the bank on the other side of the river, to be 53° and 79° 12'.
Pàgina 61 - ... to be on a level with the place where I stood, close by the side of the river ; and not having room to measure backward...