A Treatise on Surveying, Containing the Theory and Practice: To which is Prefixed a Perspicuous System of Plane Trigonometry. The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. Particularly Adapted to the Use of Schools |
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Page 53
... tang . of half sum of angl . B & C , 65 ° 54 ′ 10.34938 11.92916 To tang . of half their difference , 21 ° 17 ′ 9.59070 Half sum of the angles B and C 65 ° 54 ' Add and subtract half their difference 21 17 Angle C 87 11 To find the side ...
... tang . of half sum of angl . B & C , 65 ° 54 ′ 10.34938 11.92916 To tang . of half their difference , 21 ° 17 ′ 9.59070 Half sum of the angles B and C 65 ° 54 ' Add and subtract half their difference 21 17 Angle C 87 11 To find the side ...
Page 67
... tang . - 1575 105 To and from CAB + CBA 2 CAB + CBA 2 CAB - CBA : tang : 2 62 ° 10 ' 7 ° 12 ' CAB - CBA 62 ° 10 ′ , add and subtract 2 = 7 ° 12 ′ and we shall have CAB = 69 ° 22 ′ , and CBA≈ 54 ° 58 ′ . Then , S. ABC : S. ACB :: AC ...
... tang . - 1575 105 To and from CAB + CBA 2 CAB + CBA 2 CAB - CBA : tang : 2 62 ° 10 ' 7 ° 12 ' CAB - CBA 62 ° 10 ′ , add and subtract 2 = 7 ° 12 ′ and we shall have CAB = 69 ° 22 ′ , and CBA≈ 54 ° 58 ′ . Then , S. ABC : S. ACB :: AC ...
Page 125
... tang . of DCE , or bearing of CE , N. 10 ° 47 ' E. 9.28000 Consequently the bearing of EC is S. 10 ° 47 ′ W. As rad . 10.00000 Is to sec . of DCE 10 ° 47 ' 10.00774 So is the diff . of lat . CD = 27.92 1.44591 11.45365 To the dist . EC ...
... tang . of DCE , or bearing of CE , N. 10 ° 47 ' E. 9.28000 Consequently the bearing of EC is S. 10 ° 47 ′ W. As rad . 10.00000 Is to sec . of DCE 10 ° 47 ' 10.00774 So is the diff . of lat . CD = 27.92 1.44591 11.45365 To the dist . EC ...
Page 128
... tang of bearing S. 60 ° 8 ' W. 10.21090 To find the distance . As rad . 10.00000 Is to sec . of bearing 60 ° 8 ′ 10.30279 So is diff . of lat . 6.11 0.78604 11.08883 To the distance 12.27 1.08883 The bearing and distance of the last ...
... tang of bearing S. 60 ° 8 ' W. 10.21090 To find the distance . As rad . 10.00000 Is to sec . of bearing 60 ° 8 ′ 10.30279 So is diff . of lat . 6.11 0.78604 11.08883 To the distance 12.27 1.08883 The bearing and distance of the last ...
Page 130
... tang . of the bearing of LB , S. 78 ° 49 ′ W. 10.70110 As rad . 10.00000 Is to sec . of the bearing of LB 78 ° 49 ′ 10.71231 So is diff . of lat . do . 5.73 0.75815 11.47046 Now , having the bearings of the lines AB , To length of LB ...
... tang . of the bearing of LB , S. 78 ° 49 ′ W. 10.70110 As rad . 10.00000 Is to sec . of the bearing of LB 78 ° 49 ′ 10.71231 So is diff . of lat . do . 5.73 0.75815 11.47046 Now , having the bearings of the lines AB , To length of LB ...
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A Treatise on Surveying: Containing the Theory and Practice: To Which Is ... John Gummere No preview available - 2016 |
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