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Five-place Logarithmic and Trigonometric Tables Adapted from Gauss's Tables
Elmer Adelbert Lyman,Edwin Charles Goddard
Visualització completa - 1900
acute angle algebra ambiguous angle in terms angle opposite angles less base c.d. Log c.d. Log.Tan c.d. Log.TanNat circle circumcircle colog column common logarithms complex numbers computed corresponding cosecant cosh Cot Log Cot Nat curve decimal determined elevation angles equal equation Express figure Find log Find the distance Find the height fourth quadrant func functions of angles geometry given angle Hence hyperbolic functions incentre initial line INVERSE FUNCTIONS law of sines length less than 360 Let the student lighthouse loga mantissa miles Nat.Tan Nat.TanLog natural functions negative observed obtuse perpendicular Prove cos2 radians radius ratios relations right angle right triangle sec2 secant Show side opposite sin2 sin8 sine and cosine sinh Solve completely spherical angle spherical triangle subtends tan2 tangent and cotangent terminal line tions triangle ABC triangle geometry triangle of reference trigonometric functions whence
Pàgina 3 - JT.axis toward the right. The sign and magnitude of the angle will determine the position of the terminal line, causing it to coincide with one of the axes or to fall in one of the quadrants. An angle is said to be of the first, second, third, or fourth. quadrant according as its terminal line falls in that quadrant. While the acute angle is of the first quadrant, the converse is by no means necessarily true. The terminal line of every angle, however large, must coincide with the terminal line of...
Pàgina 44 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 6 - What is the measure of a ton when a weight of 10 stone is the unit ? (4) The length of an Atlantic cable is 2300 miles and the length of the cable from England to France is 21 miles. Express the length of the first in terms of the second as unit.
Pàgina 125 - Rules are . (1) The sine of the middle part equals the product of the tangents of the adjacent parts.
Pàgina 129 - Having given two sides and the included angle, or two angles and the included side.
Pàgina 11 - Also sin2 A is an abbreviation for (sin A)2, ie, for (sin A) x (sin A). Such abbreviations are used for convenience. 14. The Trigonometric Functions are always the Same for the Same Angle. — Let BAD be any angle; in AD take P, P', any two points, and draw PC, P'C
Pàgina 5 - It is based on the fact that for a given angle the ratio of the length of its arc to the length of the radius...
Pàgina 117 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.