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Elements of Plane and Spherical Trigonometry: With Practical Applications
Visualització completa - 1876
acute angle adjacent sides angle equal angle of elevation angle opposite angle or arc arithm arithmetical complement celestial equator column headed cos2 cosec cot h Cotang decimal denoted divided equal to 90 equation EXAMPLES feet find the distance find the sine formulae Geom given number Given the hypothenuse Given two sides half the sum half their difference Hence included angle latitude log cos log cot log h log sin logarithmic cosine logarithmic sine logarithmic tangent M. M. Sine minus the logarithmic Napier's rules negative oblique oblique-angled spherical triangle perpendicular plane triangle Prop Required the distance right-angled spherical triangle right-angled triangle equal rods secant side b equal side opposite sides equal sin a sin sin2 sine and cosine Solution solve the triangle spherical triangle ABC SPHERICAL TRIGONOMETRY subtract sun's declination suvers suversed sine Tang tangent of half three sides trigonometric functions values whence yards Zl.B ZO.B
Pàgina 75 - 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...
Pàgina 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Pàgina 3 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant figure.
Pàgina 43 - 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.
Pàgina 85 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Pàgina 46 - ... sides, into half the sum less the side opposite the angle, divided by the rectangle of the two adjacent sides, 117. Dividing (102) by (106), (103) by (107), and (104) by (108), we have, by (13...
Pàgina 71 - From a window near the bottom of a house, which seemed to be on a level with the bottom of a steeple, I took the angle of elevation of the top of the steeple, equal to 40° ; then from another window, 18 feet directly above the former, the like angle was 37° 30'.
Pàgina 11 - ... multiplied by it will give a negative result ; but that which is to be carried from the decimal part will be positive; therefore, their difference will be the characteristic of the product. Ex. 1. Required the square, or second power, of 31. Log 31 = 1.491362 2 Ans. 961 2.982724 2. Required...