The Essentials of Plane and Spherical TrigonometryLeach, Shewell, and Sanborn, 1887 - 151 sider |
Andre utgaver - Vis alle
The Essentials of Plane and Spherical Trigonometry Webster Wells Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
A'BC a+b+c a² 2 bc abscissa acute angle adjacent angle corresponding angle obtained C₁ CD² check formula circular measure co.c colog cologarithm cos a cos cos(x+y cos² cosecant cosine cotangent decimal Denoting distance equal EXAMPLES find the angle find the logarithm find the values following triangles formulæ of Art Geometry given elements Given the three Given two sides Hence hypotenuse included angle log cot log csc log sec log sin log tan longitude manner mantissa Napier's rules Note obtain the formulæ opposite angle ordinate perpendicular plane polar triangle positive radius right angle right triangle ABC secant sin B sin sin C cos sin² sine Solve the following spherical oblique triangles spherical right triangle spherical triangle Spherical Trigonometry subtract tanc tangent terminal line triedral angle trigonometric functions Whence by Art ос
Populære avsnitt
Side 1 - To express fractional parts of the unit, the degree is divided into sixty equal parts called minutes, and the minute into sixty equal parts, called seconds. Degrees, minutes, and seconds are represented by the symbols, °. ', ", respectively. Thus, 43° 22' 37" represents an angle of 43 degrees, 22 minutes, and 37 seconds.
Side 107 - If the function is a sine, since the sine of an angle is equal to the sine of its supplement...
Side 1 - ... is the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle.
Side 56 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Side 96 - 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.
Side 76 - 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 57 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 104 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Side 115 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Side 58 - ... the logarithm of any power of a quantity is equal to the logarithm of the quantity multiplied by the exponent of the power. Assume the equation a* = m ; whence, x = loga m.