## Plane and Spherical Trigonometry, Surveying and TablesGinn & Company, 1897 - Logarithms |

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### Common terms and phrases

ABCD acute angle altitude angle of depression angle of elevation azimuth bearing centre chains circle colog cologarithm column compass computed cosecant cosine cotangent csc b csc decimal difference divided east equal equation EXERCISE feet Find the angle Find the area Find the distance Find the height Find the value formulas functions Given Hence horizontal plane hour angle hypotenuse included angle inscribed Law of Sines length log cos 9 log cot log log tan log logarithm longitude mantissa measured meridian miles moving radius negative observer obtain opposite perpendicular plot Polaris pole position quadrant radians regular polygon right angle right spherical triangle right triangle ship sails sides sin x sine solution star station tanē tangent trigonometric functions Trigonometry unit circle vernier vertical whence

### Popular passages

Page 52 - ... cos y — sin x sin y tan a- + tan y 1 — tan x tan y sin (x — y) = sin x cos y — cos x...

Page 171 - The Celestial Equator, or Equinoctial, is the great circle in which the plane of the earth's equator produced intersects the surface of the celestial sphere.

Page 61 - The sides of a triangle are proportional to the sines of the opposite angles. If...

Page 141 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.

Page 26 - 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...

Page 63 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.

Page v - 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.

Page 226 - ... is called the variation of the needle at that place, and is east or west, according as the north end of the needle lies on the east or west side of the true meridian.

Page 174 - Azimuth of a point in the celestial sphere is the angle at the zenith between the meridian of the observer and the vertical circle passing through the point; it may also be regarded as the arc of the horizon intercepted between those circles.

Page 30 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.