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 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