Elements of Plane and Spherical Trigonometry |
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altitude angle of elevation arithm base chains chord circle circumference Co-tangent complement computed cosecant cosine cubic feet diameter diff difference of latitude difference of longitude Dist divided draw entire surface equal equator figure find the angles find the area find the Logarithm frustum Geometry given number Given the angle half height Hence horizontal line inches included angle length logarithmic sine longitude measured meridian middle latitude miles minutes Multiply natural number nautical miles number of degrees number of seconds parallel parallel sailing perpendicular plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle rods RULE Sandy Hook scale secant ship sails side AC sine and cosine slant height spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract tabular number tang tangent telescope theodolite tude vernier vertical yards zoids
Popular passages
Page 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Page 69 - To find the volume of a pyramid, or of a cone. Multiply the area of the base by one third of the altitude.
Page 17 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 71 - ADD THE LENGTH OF THE EDGE TO TWICE THE LENGTH OF THE BASE, AND MULTIPLY THE SUM BY £ OF THE PRODUCT OF THE HEIGHT OF THE WEDGE AND THE BREADTH OF THE BASE.
Page 119 - A=gThat is, the difference between the true and the apparent level, is nearly equal to the square of the distance divided by the diameter of the earth. Ex. 1. What is the difference between the true and the apparent level, for a distance of one English mile, supposing the earth to be 7940 miles in diameter?
Page 59 - To find the area of an irregular polygon. RULE. Draw diagonals dividing the polygon into triangles, and find the sum of the areas of these triangles.
Page 45 - ... a scale of 100 rods to an inch, in which case the side AB will be represented by 4.32 inches ; or we may construct it upon a scale of 200 rods to an inch ; that is, 100 rods to a half inch, which is very conveniently done from a scale on which a half inch is divided like that described in Art.
Page 52 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 37 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Page 53 - A. sin (A + B) - sin A cos B + cos A sin B. sin (A - B) - sin A cos B - cos A sin B. cos (A + B) - cos A cos B - sin A sin B.