Coordinates of Elementary Surveying
Coordinates of Elementary Surveying
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, given one side and two an- gles of a triangle, to find the two other sides). Fig. 32. Given the length d rz of the base P, P 2, and the biangular coordinates $i- 2 -3 > ^2-i-3 f a point P 3 referred to this base. Required the bi- radial coordinates d d. Rz of P 3 referred to the same base. Or, briefly, Given P 3 (0 r2, 0, ^), and base d^, Required P, (^. , d^.
To enable us to use the ABCabc triangle notation we ^ Now C = 1 80 (A + ), # = 2 . 3 = (c I sin f) sin ^4, FIG. 33 ^ = d r ^ = (c I s...in (7) sin B> and the check-equation is cos C = (a* -\- b z ^ 2 ) / 2ab.
For an example see the following Article.
54. From Biangular to Biradial Coordinates : Series of Points (i. E. ) to solve a chain of triangles). In Fig. 33 we have a series of points P l, P 2, P 3, . . . . Given the biangular coordinates and base for each point of the series, required the biradial coordinates, as follows : BIANGULAR COORDINATES 41 Point Base (Given) Biangular Coordinates (Required) Biradial Coordinates P, P t P.
What to read after Coordinates of Elementary Surveying?
You can find similar books in the "Read Also" column, or choose other free books by J C L John Charles Lounsbury Fish to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
, given one side and two an- gles of a triangle, to find the two other sides). Fig. 32. Given the length d rz of the base P, P 2, and the biangular coordinates $i- 2 -3 > ^2-i-3 f a point P 3 referred to this base. Required the bi- radial coordinates d d. Rz of P 3 referred to the same base. Or, briefly, Given P 3 (0 r2, 0, ^), and base d^, Required P, (^. , d^.
To enable us to use the ABCabc triangle notation we ^ Now C = 1 80 (A + ), # = 2 . 3 = (c I sin f) sin ^4, FIG. 33 ^ = d r ^ = (c I s...in (7) sin B> and the check-equation is cos C = (a* -\- b z ^ 2 ) / 2ab.
For an example see the following Article.
54. From Biangular to Biradial Coordinates : Series of Points (i. E. ) to solve a chain of triangles). In Fig. 33 we have a series of points P l, P 2, P 3, . . . . Given the biangular coordinates and base for each point of the series, required the biradial coordinates, as follows : BIANGULAR COORDINATES 41 Point Base (Given) Biangular Coordinates (Required) Biradial Coordinates P, P t P.
What to read after Coordinates of Elementary Surveying?
You can find similar books in the "Read Also" column, or choose other free books by J C L John Charles Lounsbury Fish to read onlineMoreLess
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