 | Mathematics - 1835 - 684 pages
...sin. A cos. A = tan. A = sin. B = cos. B = tan. B = ' sin. В sin. С А В ВС (55.) То express the cosine of an angle of a triangle in terms of the sides. By Euclid, Props. 12 and 13, b. ¡¡., and Geometry, I. § 6. Prop. 37, we have AC8 = AB'+BC2-2 AB.BD... | |
 | John Charles Snowball - 1837 - 322 pages
...BOC, — if it fall without it, the proposition admits of a proof in the same words. 29- To express the cosine of an angle of a, triangle in terms of the cosines und sines of the sides. From any point D in OA draw DE and DF in the planes AOB and AOC at... | |
 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...in both, = . bc In like manner, sin A sin />' sin (.'. abc which proves the theorem. 30. To express the cosine of an angle of a triangle in terms of the sides. With the same figures as in the last proposition, we have in fig. 1, therefore in both cases, cos B... | |
 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...length, inclined at an angle 0 to the former may properly be represented, and apply the method to express the cosine of an angle of a triangle in terms of the sides. 4. Through any point of a chord of a circle other chords are drawn ; shew that lines from the middle... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...number? What are the properties of logarithms on which the utility of logarithmic tables depends ? 3. Write down the expression for the cosine of an...prove the expression for the sine of an angle, and for the area of the triangle, in terms of the sides. Section 5. 1. Prove the expressions for the circumference... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...Having given one side of a right-angled triangle and the angle adjacent to that side, show by what calculations the other parts of the triangle may be...Write down the expression for the cosine of an angle What is the logarithm of a number ? What are the properties of logarithms on which the utility of logarithmic... | |
 | John William Colenso (bp. of Natal.) - 1851 - 382 pages
...- - - . smB cosB cosC+cosA 120. Apply the last result to shew that sin .4 :sinl? :: a : b, assuming the expression for the cosine of an angle of a triangle in terms of the sides. 121. Shew that, in any plane triangle, с = (a -6) sec0, where ф is given by the formula tanci = sin^A.... | |
 | George Wirgman Hemming - 1851 - 176 pages
...53. The sides of a triangle are proportional to the sines of the opposite angles 84 54. To express the cosine of an angle of a triangle in terms of the sides 85 56. On the solution of right-angled triangles . . 88 57. On the solution of oblique-angled triangles... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...= sin. arc cb. One of the most important formulae in spherical trigonometry is that which expresses the cosine of an angle of a triangle, in terms of the three sides. To obtain this formula we may employ fig. 115, where abc is a spherical triangle, o the... | |
 | 1851 - 716 pages
...= sin. arc cb. One of the most important formulae in spherical trigonometry is that which expresses the cosine of an angle of a triangle, in terms of the three sides. To obtain this formula we may employ Jig. 115, where abc is a spherical triangle, o the... | |
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Write down the expression for the cosine of an angle of a triangle in terms of the sides, and... 
