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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... or the * rationale of any of the rules , necessary in performing the various calculations . ... in one of which the Pennsylvania method of calculation is introduced , as being quite different from that given by Jess ; whereas it is ...
... or the * rationale of any of the rules , necessary in performing the various calculations . ... in one of which the Pennsylvania method of calculation is introduced , as being quite different from that given by Jess ; whereas it is ...
Página 45
... any plane triangle , the sides are to one another as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other sides will be of the same denomination as the given . By Calculation .
... any plane triangle , the sides are to one another as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other sides will be of the same denomination as the given . By Calculation .
Página 46
By Calculation . As sine of the angle C 33 ° 21 ' 9.74017 Is to sine of the angle B 114 ° 24 - So is AB 98 9.95937 1.99123 11.95060 9.74017 To AC 162.3 2.21043 As sine of C 33 ° 21 9.74017 Is to sine of A 32 ° 15 ' So is AB 98 .
By Calculation . As sine of the angle C 33 ° 21 ' 9.74017 Is to sine of the angle B 114 ° 24 - So is AB 98 9.95937 1.99123 11.95060 9.74017 To AC 162.3 2.21043 As sine of C 33 ° 21 9.74017 Is to sine of A 32 ° 15 ' So is AB 98 .
Página 47
1 By Calculation . As sine of B 900 10.00000 Is to sine of A 530 8 ' So is AC 480 9.90311 2.68124 12.58435 To BC 384 2.58435 As sine of B 90 ° 10.00000 Is to sine of C 36 ° 52 ' : So is AC 480 9.77812 2.68124 12.45936 To AB 288 2.45936 ...
1 By Calculation . As sine of B 900 10.00000 Is to sine of A 530 8 ' So is AC 480 9.90311 2.68124 12.58435 To BC 384 2.58435 As sine of B 90 ° 10.00000 Is to sine of C 36 ° 52 ' : So is AC 480 9.77812 2.68124 12.45936 To AB 288 2.45936 ...
Página 50
By Calculation . As AB , .98 1.99123 Is to BC , .7912 - So is sine of C , 03 ° 21 ' 1.89829 9.74017 9.63846 To sine of A , 26 ° 21 ' . 9.64723 To the angle C = 33 ° 21 ' add the angle A = 26 ° 21 ' , and the sum is 590 42 which ...
By Calculation . As AB , .98 1.99123 Is to BC , .7912 - So is sine of C , 03 ° 21 ' 1.89829 9.74017 9.63846 To sine of A , 26 ° 21 ' . 9.64723 To the angle C = 33 ° 21 ' add the angle A = 26 ° 21 ' , and the sum is 590 42 which ...
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ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Co-sine Co-tang column decimal Deg Dist degrees DEMONSTRATION Dep Lat departure corresponding diff difference of latitude 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 Secant semiperimeter side AB side AC sine square root station stationary line subtract survey tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry ܟܬ