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
... 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 chords constructed to ...
... 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 chords constructed to ...
Página 49
... join BA ; then is ABC the triangle required : the side AC , measured by the scale of equal parts will be 1.54 , and the angles A and B , measured by a scale of chords will be 26 ° 21 ′ and G Here the arc ab cuts AC in one point only 120 ...
... join BA ; then is ABC the triangle required : the side AC , measured by the scale of equal parts will be 1.54 , and the angles A and B , measured by a scale of chords will be 26 ° 21 ′ and G Here the arc ab cuts AC in one point only 120 ...
Página 53
... join DA , EC , and FC , and draw FG parellel to BC , meeting EC produced , in G. The angle EAC ( 32.1 . ) is equal to the sum of the unknown angles ABC , ACB , and the angle EFC at the circumference is equal to the half of EAC at the ...
... join DA , EC , and FC , and draw FG parellel to BC , meeting EC produced , in G. The angle EAC ( 32.1 . ) is equal to the sum of the unknown angles ABC , ACB , and the angle EFC at the circumference is equal to the half of EAC at the ...
Página 54
... join BC . The angle B will measure 44 ° 37 ' , the angle C 87 ° 11 ' , and the side BC 95.5 . = By Calculation . AB 128 180 ° 0 ' AC 90 Angle A 48 12 Sum 218 Difference 38 Half sum Sum of the angles B and C 131 do . 48 65 54 2.33846 ...
... join BC . The angle B will measure 44 ° 37 ' , the angle C 87 ° 11 ' , and the side BC 95.5 . = By Calculation . AB 128 180 ° 0 ' AC 90 Angle A 48 12 Sum 218 Difference 38 Half sum Sum of the angles B and C 131 do . 48 65 54 2.33846 ...
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