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 SchoolsKimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 - 206 páginas |
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Página 54
By Calculation . AB AC 128 90 1800 0 48 12 Angle A Sum 218 Difference 38 Sum of the angles B and C 131 Half sum do . 65 48 54 As the sum of the sides AB , AC , 218 2.33846 Is to their difference , 38 - 1.57978 So is the tang.
By Calculation . AB AC 128 90 1800 0 48 12 Angle A Sum 218 Difference 38 Sum of the angles B and C 131 Half sum do . 65 48 54 As the sum of the sides AB , AC , 218 2.33846 Is to their difference , 38 - 1.57978 So is the tang.
Página 70
tang . 2 2 1575 105 62 ° 10 ' 7 ° 12 ' CAB + CBA САВ— СВА To and from -62 ° 10 ' , add and subtract2 2 7 ° 12 ' and we shall have CAB = 690 22 ' , and CBA = 54 ° 58 ' . Then , S. ABC : S. ACB : : AC : AB 54 ° 58 ' 55 ° 40 ' 735 741 ...
tang . 2 2 1575 105 62 ° 10 ' 7 ° 12 ' CAB + CBA САВ— СВА To and from -62 ° 10 ' , add and subtract2 2 7 ° 12 ' and we shall have CAB = 690 22 ' , and CBA = 54 ° 58 ' . Then , S. ABC : S. ACB : : AC : AB 54 ° 58 ' 55 ° 40 ' 735 741 ...
Página 129
CD = 27.92 N. 1.44592 Is to the dep . ED = 5.32 E. 0.72591 So is rad . 10.00000 10.72591 * To the tang . of DCE , or bearing of CE , N. 10 ° 47 ' E. 9.27999 Consequently the bearing of EC is S. 10 ° 47 ' W. As rad ...
CD = 27.92 N. 1.44592 Is to the dep . ED = 5.32 E. 0.72591 So is rad . 10.00000 10.72591 * To the tang . of DCE , or bearing of CE , N. 10 ° 47 ' E. 9.27999 Consequently the bearing of EC is S. 10 ° 47 ' W. As rad ...
Página 132
1 0.78604 1.02694 10.00000 11.02694 To tang . of bearing S. 60 ° 8 ' W. 10.24090 To find the distance . As rad . Is to sec . of bearing 60 ° 8 ' So is diff . of lat . 6.11 10.00000 10.30279 0.78604 11.08883 To the distance 12.27 1.08883 ...
1 0.78604 1.02694 10.00000 11.02694 To tang . of bearing S. 60 ° 8 ' W. 10.24090 To find the distance . As rad . Is to sec . of bearing 60 ° 8 ' So is diff . of lat . 6.11 10.00000 10.30279 0.78604 11.08883 To the distance 12.27 1.08883 ...
Página 134
0.75815 1.46225 10.00000 11.46225 To tang . of the bearing of LB , S. 78 ° 49 ' W. 10.70410 0 As rad . Is to sec . of the bearing of LB 78 ° 49 So is diff . of lat . do . 5. 73 10.00000 10.71231 0.75815 11.47046 To length of LB 29.54 ...
0.75815 1.46225 10.00000 11.46225 To tang . of the bearing of LB , S. 78 ° 49 ' W. 10.70410 0 As rad . Is to sec . of the bearing of LB 78 ° 49 So is diff . of lat . do . 5. 73 10.00000 10.71231 0.75815 11.47046 To length of LB 29.54 ...
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Términos y frases comunes
ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice