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 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