Elements of Plane Trigonometry, Surveying and Navigation

Εξώφυλλο
Sanborn, Carter and Bazin, 1855 - 223 σελίδες
 

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Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 39 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 25 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Σελίδα 202 - Radius, is to the tangent of the course; as the meridional difference of latitude, is to the Difference of longitude.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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'.
Σελίδα 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...

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