Plane And Spherical Trigonometry An Elementary Text book
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Then the ten formulas obtained above may be condensed into the two following rules : The sine of the middle part is equal to the product of the tangents of the adjacent parts.
The sine of the middle part is equal to the product of the cosines of the opposite parts.
If we apply these rules, using each part successively as the middle part, they will be found to give the ten formulas of the previous article.
For example, if a is taken as the middle part, b and co. B are the adjacent parts, and co.... A and co. C are the opposite parts. Then the first rule gives sin a = tan b tan co. B = tan b cot B, which is formula [10]. The second rule gives sin a = cos co. A cos co. C = sin A sin , which is formula [2].
CH. VH, 55] RIGHT AND QUADRANTAL TRIANGLES 123 55. Solution of right triangles. When any two of the parts of a right spherical triangle are given, the remaining parts may be determined by the aid of the ten formulas of Art. 53. Six cases may occur. There ma} r be given 1. The two legs, 2.
What to read after Plane And Spherical Trigonometry An Elementary Text book?
You can find similar books in the "Read Also" column, or choose other free books by Charles H Charles Hamilton Ashton to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Then the ten formulas obtained above may be condensed into the two following rules : The sine of the middle part is equal to the product of the tangents of the adjacent parts.
The sine of the middle part is equal to the product of the cosines of the opposite parts.
If we apply these rules, using each part successively as the middle part, they will be found to give the ten formulas of the previous article.
For example, if a is taken as the middle part, b and co. B are the adjacent parts, and co.... A and co. C are the opposite parts. Then the first rule gives sin a = tan b tan co. B = tan b cot B, which is formula [10]. The second rule gives sin a = cos co. A cos co. C = sin A sin , which is formula [2].
CH. VH, 55] RIGHT AND QUADRANTAL TRIANGLES 123 55. Solution of right triangles. When any two of the parts of a right spherical triangle are given, the remaining parts may be determined by the aid of the ten formulas of Art. 53. Six cases may occur. There ma} r be given 1. The two legs, 2.
What to read after Plane And Spherical Trigonometry An Elementary Text book?
You can find similar books in the "Read Also" column, or choose other free books by Charles H Charles Hamilton Ashton to read onlineMoreLess
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