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 38
Angles of more than 90 degrees are usually taken off at twice . PROBLEM III . To measure a given angle A. Fig . 34 . Describe the arc mn with the chord of 60 degrees , as in the last problem . Take the arc mn between the dividers ...
Angles of more than 90 degrees are usually taken off at twice . PROBLEM III . To measure a given angle A. Fig . 34 . Describe the arc mn with the chord of 60 degrees , as in the last problem . Take the arc mn between the dividers ...
Página 67
Or by logarithms thus , From twice the logarithm of the perpendicular , subtract the logarithm of the base , and add the corresponding natural number to the base ; then , half the sum of the logarithms of this sum , and of the base ...
Or by logarithms thus , From twice the logarithm of the perpendicular , subtract the logarithm of the base , and add the corresponding natural number to the base ; then , half the sum of the logarithms of this sum , and of the base ...
Página 90
A :: AC X AB : CD X AB ; but CD X AB is equal to twice the area : 2. What is the area of a triangle two sides of the triangle : hence the truth of the rule is evident . 90 MEASURING LAND .
A :: AC X AB : CD X AB ; but CD X AB is equal to twice the area : 2. What is the area of a triangle two sides of the triangle : hence the truth of the rule is evident . 90 MEASURING LAND .
Página 93
But since twice AD , twice BD , and twice CF are the sum of the sides of the triangle , or twice AH , it is obvious that AD , BD and CF together , are equal to AH ; consequently CF is equal to BH or BM ; hence CM or CL is equal to BF or ...
But since twice AD , twice BD , and twice CF are the sum of the sides of the triangle , or twice AH , it is obvious that AD , BD and CF together , are equal to AH ; consequently CF is equal to BH or BM ; hence CM or CL is equal to BF or ...
Página 103
If two pins be set upright in a plane , and a thread , the length of which is greater than twice the distance between the pins , having the ends tied together be put about the pins ; and if the point of a pin or pencil , applied to the ...
If two pins be set upright in a plane , and a thread , the length of which is greater than twice the distance between the pins , having the ends tied together be put about the pins ; and if the point of a pin or pencil , applied to the ...
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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