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 48
... side BC = 125 ; re- quired AC and AB . Ans . AC = 103.4 , and AB = 91.87 . 4. In a right - angled triangle , there are given the an- gle A = 56 ° 48 ' , and the base AB = 53.66 , to find the perpendicular BC and hypothenuse AC . Ans ...
... side BC = 125 ; re- quired AC and AB . Ans . AC = 103.4 , and AB = 91.87 . 4. In a right - angled triangle , there are given the an- gle A = 56 ° 48 ' , and the base AB = 53.66 , to find the perpendicular BC and hypothenuse AC . Ans ...
Página 49
... side may be found by Case 1 . Note . The angle found by this rule is sometimes ambiguous , for the operation only ... AC in the point A , and join BA ; then is ABC the triangle required : the side AC , measured by the scale of ...
... side may be found by Case 1 . Note . The angle found by this rule is sometimes ambiguous , for the operation only ... AC in the point A , and join BA ; then is ABC the triangle required : the side AC , measured by the scale of ...
Página 50
... AC in one point only , because AB is greater than BC ; therefore the angle A is acute , and not ambiguous . By ... side AC , on the line of 3. In the triangle ABC , are given the angle numbers . 50 PLANE TRIGONOMETRY .
... AC in one point only , because AB is greater than BC ; therefore the angle A is acute , and not ambiguous . By ... side AC , on the line of 3. In the triangle ABC , are given the angle numbers . 50 PLANE TRIGONOMETRY .
Página 51
... side BC = 95.12 and the side AB = 60 , to find the angles A and B , and the side AC . By Construction , Fig . 44 . This is constructed in the same manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in ...
... side BC = 95.12 and the side AB = 60 , to find the angles A and B , and the side AC . By Construction , Fig . 44 . This is constructed in the same manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in ...
Página 52
... side AC , answering to the obtuse value of the angle A. As sine of C , 33 ° 21 ′ - 9.74017 Is to sine of B , 27 ° 17 ′ So is AB , 60 - - 9.66124 • - 1.77815 11.43939 - - 1.69922 Το AC , 50.03 4. In a triangle ABC , the side AB is 274 ...
... side AC , answering to the obtuse value of the angle A. As sine of C , 33 ° 21 ′ - 9.74017 Is to sine of B , 27 ° 17 ′ So is AB , 60 - - 9.66124 • - 1.77815 11.43939 - - 1.69922 Το AC , 50.03 4. In a triangle ABC , the side AB is 274 ...
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle azimuth base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal degrees DEMONSTRATION departure corresponding diff difference of latitude Dist divide division line draw equal EXAMPLES feet figures find the angle find the area four-pole chains fourth term given angle given area given bearing given ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular perpendicular BC quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry