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A Practical Text-Book on Plane and Spherical Trigonometry
Previsualització no disponible - 2016
abscissa acute angle adjacent angle corresponding angle equals calculated circle circular measure colog cologarithm common logarithm cos2 cosc cose cosec.4 cosine cosx cosy cota cotangent decimal places decimal point Dividing equations EXAM PLES example figure find log Find the angles find the logarithmic find the values formulae of Art Geometry Given log greater than 90 Hence hypothenuse included angle less than 90 log cos log cosec log cot log sin log tan log2 log3 loga logarithmic sine logc logsin logtan mantissa method multiply number corresponding obtain opposite angle perpendicular to OA positive or negative preceding article radius ratio right angle right triangle secant similar manner Similarly sin a sin sin2 sin2a sin5 sinB sines and cosines siny solution spherical triangle Spherical Trigonometry Substituting subtract tana tangent tany terminal line theorem triangle ABC trigonometrical functions unity Whence
Pàgina 118 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Pàgina 73 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Pàgina 157 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Pàgina 78 - This table is added simply for convenience, as the same mantissas are to be found in the other part of the table. To find the logarithm of any number consisting of four figures. Find, in the column headed N, the first three figures of the given number. Then the mantissa of the required logarithm will be found in the horizontal line corresponding, in the vertical column which has the fourth figure of the given number at the top. If only the last four figures of the mantissa are found, the first two...
Pàgina 70 - If a number is not an exact power of 10, its common logarithm can only be expressed approximately ; the integral part of the logarithm is called the characteristic, and the decimal part the mantissa.
Pàgina 183 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Pàgina 68 - Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a
Pàgina 72 - Ios- y" &cFrom which it is evident, that the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors.