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 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