Plane and Spherical Trigonometry

Pirmais vāks
Ginn, 1876 - 163 lappuses
 

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12. lappuse - 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...
63. lappuse - 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.
i. lappuse - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
84. lappuse - At a second station, bearing from the first N. by E., and distant 1 mile, the bearing of the cloud is W. by N. Find the height of the cloud, and its distance from each station. Ans. 7727 feet...
43. lappuse - These two points indicate the two leading characteristics of these remarkable books. They combine mathematica. scholarship with all the elements of school-room popularity. The author's aim was to be helpful. He has made a study of his subjects with the psychology and probable capacity of the students constantly in mind. His books enable the average student not merely to learn something, but to master the study, and at the same time they give the brighter ones a plenty to exercise their faculties...
47. lappuse - ... in such institutions. Preparatory schools and academies of high grade, especially such as give the pupils a thorough preliminary drill in arithmetic, normal schools, seminaries, and many colleges, will find it specially suited to their requirements. It is substantially equivalent to the author's Complete Algebra, but is believed to be in many respects better. The arrangement and the treatment of the topics have been revised, and fuller explanations have been given. It is more complete than the...
83. lappuse - From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle BCA is observed to be 135° : find the height of the mountain in yards.
13. lappuse - Oblique spherical triangle sin a sin b sin c Sine Law: —• — T- = -i — B = ~ — T=\ sin A sin B sin C Cosine Law: cos a = cos b cos c + sin b sin c...
29. lappuse - The hour angle of a heavenly body is the inclination of the hour circle (circle of declination) which passes through the body to the celestial meridian, and is measured by the arc of the celestial equator...
12. lappuse - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.

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