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 34
... AE take AF equal C and FE equal D ; join EB and draw FG parallel to it ; then AG will have to GB the same ratio that has to D. D A E F B PLANE TRIGONOMETRY . DEFINITIONS . 1. PLANE TRIGONOMETRY is the 34 GEOMETRICAL PROBLEMS .
... AE take AF equal C and FE equal D ; join EB and draw FG parallel to it ; then AG will have to GB the same ratio that has to D. D A E F B PLANE TRIGONOMETRY . DEFINITIONS . 1. PLANE TRIGONOMETRY is the 34 GEOMETRICAL PROBLEMS .
Página 37
... parallel to CF and join AD . Divide the arc AD into nine equal parts as A , 10 ; 10 , 20 ; & c . and with one foot of the dividers in A , transfer the distances A , 10 ; A , 20 ; & c . to the right line AD ; then will AD be a line of ...
... parallel to CF and join AD . Divide the arc AD into nine equal parts as A , 10 ; 10 , 20 ; & c . and with one foot of the dividers in A , transfer the distances A , 10 ; A , 20 ; & c . to the right line AD ; then will AD be a line of ...
Página 59
... parallel and equal to CB ; join HB and produce it to meet AE produced in G. 1 Now in the triangles AED , AEC , all the sides of the one are equal to the sides of the other , each to each ; therefore ( 8.1 ) the angle EAD EAC , and AED ...
... parallel and equal to CB ; join HB and produce it to meet AE produced in G. 1 Now in the triangles AED , AEC , all the sides of the one are equal to the sides of the other , each to each ; therefore ( 8.1 ) the angle EAD EAC , and AED ...
Página 60
... parallel to BC , BH is also equal and pa- rallel to EC ( 33.1 ) ; now in the triangles EDF and HBF , the angle EFD = BFH , the angle FED = FHB ( 29.1 ) and ED = EC — BH ; therefore ( 26.1 ) EF = FH , and FD = FB . Again the angle HGE ...
... parallel to BC , BH is also equal and pa- rallel to EC ( 33.1 ) ; now in the triangles EDF and HBF , the angle EFD = BFH , the angle FED = FHB ( 29.1 ) and ED = EC — BH ; therefore ( 26.1 ) EF = FH , and FD = FB . Again the angle HGE ...
Página 71
... parallel to CA , and draw BD making the angle EBD = 17 ° 47 ' ( the given angle ADB ) and meeting CA produced , in D : then AD , CD and BD will be the distances required . * Calculation . 1. In the triangle ABC we have all the sides ...
... parallel to CA , and draw BD making the angle EBD = 17 ° 47 ' ( the given angle ADB ) and meeting CA produced , in D : then AD , CD and BD will be the distances required . * Calculation . 1. In the triangle ABC we have all the sides ...
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 Secant Co-sine Co-tang column cube root decimal 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 number given ratio given side John Gummere Lat Dep latitude and departure length logarithm M.
M. Sine measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC square root station stationary line subtract survey tance Tang tangent tract of land trapezium trapezoid triangle ABC trigonometry