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 30
... perpendicular to AB . PROBLEM IV . To let fall a perpendicular upon a given line BC , from a given point A , without it , Fig . 21 . In the line BC take any point D , and with it as a cen- tre and distance DA describe an arc AGE , cutting ...
... perpendicular to AB . PROBLEM IV . To let fall a perpendicular upon a given line BC , from a given point A , without it , Fig . 21 . In the line BC take any point D , and with it as a cen- tre and distance DA describe an arc AGE , cutting ...
Página 31
... BC , and ABC is the triangle required . PROBLEM IX . Upon a given line AB to describe a square , Fig . 26 . At the end B of the line AB , by problem 3 , erect the perpendicular BC , and make it equal to AB ; with A and cutting each ...
... BC , and ABC is the triangle required . PROBLEM IX . Upon a given line AB to describe a square , Fig . 26 . At the end B of the line AB , by problem 3 , erect the perpendicular BC , and make it equal to AB ; with A and cutting each ...
Página 46
... BC 95.12 - · 1.97829 By Gunter's Scale . Extend the compasses , on the line of sines , from . 33 ° 21 ' to 65 ° 36 the supplement of the angle B ; that . extent will reach , on the line of ... perpendicular BC . 46 PLANE TRIGONOMETRY .
... BC 95.12 - · 1.97829 By Gunter's Scale . Extend the compasses , on the line of sines , from . 33 ° 21 ' to 65 ° 36 the supplement of the angle B ; that . extent will reach , on the line of ... perpendicular BC . 46 PLANE TRIGONOMETRY .
Página 47
... perpendicular to AB , then ABC is the triangle required . AB , measured by the same scale of equal parts , will be 288 , and BC ... BC 384 2.58435 As sine of B 90 ° 10.00000 Is to sine of C 36 ° 52 ' 9.77812 So is AC 480 2.68124 12.45936 + By ...
... perpendicular to AB , then ABC is the triangle required . AB , measured by the same scale of equal parts , will be 288 , and BC ... BC 384 2.58435 As sine of B 90 ° 10.00000 Is to sine of C 36 ° 52 ' 9.77812 So is AC 480 2.68124 12.45936 + By ...
Página 48
... perpendicular BC . Extend the compasses , on the line of sines , from 90 ° to 36 ° 52 ' , the complement of the ... angle thus found to the given angle , ing case . 48 PLANE TRIGONOMETRY .
... perpendicular BC . Extend the compasses , on the line of sines , from 90 ° to 36 ° 52 ' , the complement of the ... angle thus found to the given angle , ing case . 48 PLANE TRIGONOMETRY .
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