A Practical Text-book on Plane and Spherical TrigonometryLeach, Shewell, & Sanborn, 1883 - 214 sider |
Andre utgaver - Vis alle
A Practical Text-book on Plane and Spherical Trigonometry Webster Wells Uten tilgangsbegrensning - 1883 |
A Practical Text-book on Plane and Spherical Trigonometry Webster Wells Uten tilgangsbegrensning - 1883 |
Vanlige uttrykk og setninger
acute angle adjacent angle corresponding angle equals calculated circle circular measure cologarithm column common logarithm cos a cos cos(x+y cos² cosb cosc cosine cosx cosy cotangent decimal point Dividing equations example figure find log Find the angles find the logarithmic find the values formulæ of Art Geometry Given log greater than 90 Hence hypothenuse integer less than 90 log cosec log cot log sin loga logarithmic sine mantissa method multiply Napierian number corresponding obtain positive angle preceding article prove radius ratio right angle right triangle secant Similarly sin A cos sin B sin sin² sin²x sinb sine sines and cosines sinx siny solution spherical triangle Spherical Trigonometry subtract tan²x tanc tangent tanx tany terminal line theorem trigonometrical functions unity Whence XO B₁ XO B₂ ос
Populære avsnitt
Side 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.
Side 117 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Side 73 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 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...
Side 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...
Side 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.
Side 183 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Side 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
Side 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.
Side 156 - If two sides of a spherical triangle are unequal, the angles opposite them are unequal, and the greater angle lies opposite the greater side ; and conversely.