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altitude angle is equal arc increases arc is equal Arithmetic base becomes cents characteristic circular co-sine complement cosec Cotang decimal decreases denote diagonal diameter difference divided entire surface escribed circles estimated Examples find the area formulas fourth quadrant functions Geometry given gives greater Hence included angle increases from 90 increases numerically inscribed Introducing less logarithm mantissa measured minus natural negative number corresponding one-half opposite opposite angle opposite side origin passes perpendicular plane positive principles Problem proportion Proposition Prove radius reducing regular remaining required the area respectively right angle secant sides sine solution species sphere spherical triangle square Substituting supplement Tang tangent third triangle values vers volume ܕ ܕ ܗ ܗ ܗ ܝܛ ܠܛ
Side 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.
Side 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.
Side 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...
Side 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.
Side 22 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 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.
Side 10 - For a number greater than 1, the characteristic is positive and is one less than the number of digits before the decimal point.
Side 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.