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Plane and Spherical Trigonometry (Classic Reprint)
G. A. Wentworth
Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016
acute angle adjacent altitude Bearing called centre changes circle colog column computed Construct corresponding cosc cosine cosy course declination denote departure determine difference distance divided east equal equation EXAMPLE EXERCISE Express feet figure Find the angle Find the area Find the height Find the value formulas functions give Given greater Hence horizontal hour hypotenuse included increases inscribed known latitude length less log cos log log cot log sin log logarithm longitude mantissa means measured meridian miles negative NOTE object observer obtain opposite Page plane pole polygon positive problem Prove Quadrant radius ratios reached regular respectively right triangle Rules Show sides sine siny solution solve spherical triangle star tangent third tion tower Trigonometry true unit vertical whence
Σελίδα 94 - Prove that the sides of any plane triangle are proportional to the sines of the angles opposite to these sides. If 2s = the sum of the three sides (a, b, c) of a triangle, and if A be the angle opposite to the side a, prove that 2 _ 8. Prove that in any plane triangle C* ~~i
Σελίδα 51 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 18 - Geometry that the area of a triangle is equal to one-half the product of the base by the altitude. Therefore, if a and b denote the legs of a right triangle, and F the area...
Σελίδα i - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Σελίδα 50 - In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it.
Σελίδα 141 - A very simple relation exists between the hour angle of the sun and the local (apparent) time of day. Since the hourly rate at which the sun appears to move from east to west is 15°, and it is Apparent noon when the sun is on the meridian of a place, it is evident that if hour angle = 0°, 15°, — 15°, etc., time of day is noon, 1 o'clock pM, 11 o'clock AM, etc. In general, if...
Σελίδα 136 - The vertical circle passing through the east and west points of the horizon is called the Prime Vertical; that passing through the north and south points coincides with the celestial meridian.
Σελίδα 50 - The square of any side of a triangle is equal to the sum of the squares of the other two sides, diminished by twice the product of the sides and the cosine of the included angle.