Plane and Spherical Trigonometry and Mensuration

American Book Company, 1875 - 251 sider

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Innhold

 Introduction 9 To find the number corresponding to a logarithm 16 Evolution by logarithms 22 The sine of an arc 29 The cotangent of an arc 35 Natural functions 41 Logarithmic functions 43 Case 1 61
 Remarks 119 and IV 126 Values of A as 6 increases from 0 to 360 133 Case II 140 Case III 147 Area of a quadrilateral 154 Area of a regular polygon 161 Area of a regular pyramid 167

Populære avsnitt

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 108 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
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.
Side 10 - In general, if the number is not an exact power of 10, its logarithm, in the common system, will consist of two parts — an entire part and a decimal part. The entire part is called the characteristic and the decimal part is called the mantissa.