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Elements of Plane and Spherical Trigonometry: With Their Applications to ...
Visualització completa - 1878
altitude angle of elevation arc corresponding arithm base chains chord circle circumference Co-tangent column headed complement computed correction cosecant cosine course and distance cubio diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm fraction frustum Geometry given number Given the angle half height Hence horizontal line inches Lat Dep latitude and departure length logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles number of seconds parallel parallel sailing perpendicular plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Rule Sandy Hook scale secant ship sails side AC slant height spherical triangle ABC station subtract tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction yards zoids
Pàgina 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.
Pàgina 17 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 73 - 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.
Pàgina 121 - 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?
Pàgina 61 - 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.
Pàgina 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.
Pàgina 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.
Pàgina 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.