Plane and Spherical TrigonometryGinn, 1890 - 245 Seiten |
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Ergebnisse 1-5 von 9
Seite 2
... earth's sur- face when the latitudes of the places and the difference of their longi- tudes are known , 137 ; the celestial sphere , 137 ; spherical co - ordinates , the astronomical triangle , 142 ; astronomical problems , 143–146 ...
... earth's sur- face when the latitudes of the places and the difference of their longi- tudes are known , 137 ; the celestial sphere , 137 ; spherical co - ordinates , the astronomical triangle , 142 ; astronomical problems , 143–146 ...
Seite 71
... earth's centre than the plane is ) , its angular distance from the plane is called its angle of elevation . If the object be below the plane , its angular distance from the plane is called its angle of depression . These angles are ...
... earth's centre than the plane is ) , its angular distance from the plane is called its angle of elevation . If the object be below the plane , its angular distance from the plane is called its angle of depression . These angles are ...
Seite 72
... earth's radius passing through that place is 57 ' 3 " . If the earth's radius is 3956.2 miles , what is the moon's distance from the earth's centre ? 6. The angle at the earth's centre subtended by the sun's radius is 16 ' 2 " , and the ...
... earth's radius passing through that place is 57 ' 3 " . If the earth's radius is 3956.2 miles , what is the moon's distance from the earth's centre ? 6. The angle at the earth's centre subtended by the sun's radius is 16 ' 2 " , and the ...
Seite 73
... earth's surface is found to be 2 ° 13 ' 50 " . Find the diameter of the earth . 19. A ladder 40 ft . long reaches a window 33 ft . high , on one side of a street . Being turned over upon its foot , it reaches another window 21 ft . high ...
... earth's surface is found to be 2 ° 13 ' 50 " . Find the diameter of the earth . 19. A ladder 40 ft . long reaches a window 33 ft . high , on one side of a street . Being turned over upon its foot , it reaches another window 21 ft . high ...
Seite 74
... Show that the length of the staff is 2a cot 2 A. 27. A line of true level is a line every point of which is equally distant from the centre of the earth . A line drawn tangent to a line of true level at any point 74 TRIGONOMETRY .
... Show that the length of the staff is 2a cot 2 A. 27. A line of true level is a line every point of which is equally distant from the centre of the earth . A line drawn tangent to a line of true level at any point 74 TRIGONOMETRY .
Häufige Begriffe und Wortgruppen
ABC Fig absolute value acute angle altitude angle of depression angle of elevation azimuth celestial sphere centre circle of latitude colog computed cos² cosb cosc cosecant cosine cosp cosx cosy cotangent cotx csc B csc denote ecliptic equal equation equinoctial EXAMPLE EXERCISE feet find the angles Find the area Find the distance Find the height Find the value Given Hence horizontal plane hour angle hypotenuse included angle isosceles Law of Sines Leaving latitude log csc logarithms longitude meridian miles moving radius Napier's Rules negative oblique observer obtain perpendicular pole positive ratios regular polygon right ascension right spherical triangle right triangle secant ship sails sin B sin sin² siny solution solve the triangle spherical triangle star subtended tan² tanc tangent tower Trigonometry unit circle vertical whence
Beliebte Passagen
Seite 51 - The sides of a triangle are proportional to the sines of the opposite angles.
Seite 109 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Seite 52 - 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.
Seite 53 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Seite 142 - PZ, it follows that the altitude of the elevated pole is equal to the latitude of the place of observation. The triangle ZPM then (however much it may vary in shape for different positions of the star M), always contains the following five magnitudes : PZ= co-latitude of observer = 90°...
Seite 20 - 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...
Seite 100 - Assuming the formula for the sine of the sum of two angles in terms of the sines and cosines of the separate angles, find (i.) sin 75° ; (ii.) sin 3 A in terms of sin A.
Seite 52 - 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.
Seite 70 - W., and after the ship had sailed 18 miles S. 67° 30' W. it bore N. 11° 15' E. Find its distance from each position of the ship. 2. Two objects, A and B, were observed from a ship to be at the same instant in a line bearing N. 15° E. The ship then sailed northwest 5 miles, when it was found that A bore due east and B bore northeast.
Seite 23 - From the top of a hill the angles of depression of two objects situated in the...