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a. c. log adjacent angles adjacent side altitude angle is equal angle opposite applying logarithms arc increases arc is equal arc OT Arithmetic Article 98 circular co-sine co-tangent co-versed-sine complement cos2 cosec decreases denote diagonal diameter dihedral angle divided entire surface escribed circles Examples Find the angle find the area Find the logarithm fourth quadrant frustum functions Geometry given angle greater than 90 Hence hypotenuse included angle increases from 90 increases numerically inscribed log h mantissa minus Napier's principles negative number corresponding one-half the sum opposite angle perpendicular plane polygon positive Problem quadrant from H quotient regular polyhedron required the area right angle secant side adjacent sin2 sine slant height solution species spherical triangle supplement sv sv sv Y.r Tang tangent third quadrant triangle becomes Trigonometry versed-sine zr zr zr zv zv zv
Pàgina 34 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Pàgina 124 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Pàgina 143 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Pàgina 19 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Pàgina 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 122 - The sines of the sides of a spherical triangle are proportional to the sines of their opposite angles. Let ABC be a spherical triangle.
Pàgina 10 - For a number greater than 1, the characteristic is positive and is one less than the number of digits before the decimal point.
Pàgina 65 - 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.