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 7
... as being quite different from that given by Jess ; whereas it is well known to be the method given by that author , and used , as well in the preceding , as in the subsequent part of his work . elements of that science .
... as being quite different from that given by Jess ; whereas it is well known to be the method given by that author , and used , as well in the preceding , as in the subsequent part of his work . elements of that science .
Página 47
This may be constructed as in the preceding example ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A = 53 ° 8 ' ; make AC = 480 by a scale of equal parts , and from C draw CB perpendicular to AB ...
This may be constructed as in the preceding example ; or otherwise thus , Draw the line AB of any length , and draw AC making the angle A = 53 ° 8 ' ; make AC = 480 by a scale of equal parts , and from C draw CB perpendicular to AB ...
Página 51
This is constructed in the same manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute or obtuse . The side required has also ...
This is constructed in the same manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute or obtuse . The side required has also ...
Página 56
But by the preceding demonstration and ( 16.5 ) , AF : AE :: AG : AB ; hence when the perpendicular falls without the triangle , the base , is to the sum of the sides , as the difference of the sides , is to the sum of the segments of ...
But by the preceding demonstration and ( 16.5 ) , AF : AE :: AG : AB ; hence when the perpendicular falls without the triangle , the base , is to the sum of the sides , as the difference of the sides , is to the sum of the segments of ...
Página 61
The preceding rules solve all the cases of plane triangles , both right - angled and oblique . There are however other rules , suited to right angled triangles , which are sometimes more convenient than the general ones .
The preceding rules solve all the cases of plane triangles , both right - angled and oblique . There are however other rules , suited to right angled triangles , which are sometimes more convenient than the general ones .
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Términos y frases comunes
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