Elements of Plane Trigonometry
Format: Paperback
ISBN13: 9780217943574
Paperback|9780217943574
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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: of them be a side. If, however, the given parts be two of the sides and an angle opposite one of them, and the side opposite the given angle be less, than the other given side, to determine the triangle, we must know whether the angle sought be acute or obtuse., 19. From the preceding examples it is easy to see, that the solution, obtained by geometrical construction, will not on account of the imperfection of instruments, be precisely the truth, but only an approximation to it. It is then desirable to ascertain methods of calculating triangles by numerical operations, since by means of these the calculation may be carried to any degree of exactness at pleasure. SECTION III. Of the solution of Triangles by Arithmetical calculation. 20. In the solution of a triangle, it is obvious, that the magnitude of the angles will always come into consideration. Thus in the triangle ABC (fig. 1), if it be required to determine the third side AC, the angle at B and the sides AB, BC being given, since the value of AC evidently depends in part upon the magnitude of the angle at B, it is manifest, that the magnitude cf this angle must be made to enter into the computation. But the angle at B is measured on the arc of a circle, while the sides are right lines; of consequence the parts, which are necessarily the elements of the calculation, are different in kind and do not admit of comparison with each other. In endeavoring then, by means of numerical operations, to determine the different parts of a triangle, we are embarrassed at the outset by the difficulty of introducing into the calculation the magnitude of the angles. 21. To show the manner, in which this difficulty may be removed, we suppose that the triangles ABC, abc (fig. 15)are similar, and that the sides afe, fee, ac, of t...
| ISBN-13 | 9780217943574 |
|---|---|
| ISBN-10 | 0217943578 |
| Weight | 0.25 Pounds |
| Dimensions | 9.00 x 6.00 x 0.16 In |
| List Price | $14.14 |
| Format | Paperback |
|---|---|
| Pages | 68 pages |
| Publisher | |
| Published On | 2009-08-01 |
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