Elements of Plane and Spherical Trigonometry: With Their Applications to Mensuration, Surveying, and Navigation |
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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 length logarithmic sine longitude measured meridian middle latitude miles minutes Multiply natural number nautical miles number of degrees 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 Sheep extra ship sails side AC slant height spherical triangle ABC SPHERICAL TRIGONOMETRY square feet station subtract tabular number tang tangent telescope theodolite Trigonometry tude vernier vertical yards zoids
Popular passages
Page 163 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...
Page 83 - Also, similar pyramids are to each other as the cubes of their homologous edges (Geom., Prop.
Page 72 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 123 - 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 20 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
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 54 - 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 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 vi - To find the Logarithm of any Number between 1 and 100. Look on the first page of the table, along the column of numbers under N, for the given number, and against it, in the next column, will be found the logarithm, with its characteristic. Thus, opposite 13 is 1.113943, which is the logarithm of 13 ; " 65 is 1.812913, " " 65. To find tht Logarithm of any Number consisting of three Figures.
Page 63 - 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.