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 36
The sine of an arc , is a right line drawn from one extremity of the arc , perpendicular to the diameter which passes through the other extremity : thus BF is the sine of the arc AB or BD , Fig , 31 . 2 7. The cosine of an arc , is that ...
The sine of an arc , is a right line drawn from one extremity of the arc , perpendicular to the diameter which passes through the other extremity : thus BF is the sine of the arc AB or BD , Fig , 31 . 2 7. The cosine of an arc , is that ...
Página 37
The sine , cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the angle . PROBLEM I. To construct the lines of chords , sines , tangents , and secants , to any radius . Fig . 32 .
The sine , cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the angle . PROBLEM I. To construct the lines of chords , sines , tangents , and secants , to any radius . Fig . 32 .
Página 39
This table contains the logarithms of the sine , tangent , & c . to every degree and minute of the quadrant , the radius being 10000000000 , and consequently its logarithm 10 . Let the radius CB , Fig . 32 , be supposed to consist of ...
This table contains the logarithms of the sine , tangent , & c . to every degree and minute of the quadrant , the radius being 10000000000 , and consequently its logarithm 10 . Let the radius CB , Fig . 32 , be supposed to consist of ...
Página 40
left hand column ; then in the column marked at the top of the table , sine , tangent , & c : and against the minutes , is the sine , tangent , & c . required . If the degrees are more than 45 , look for them at the bottom of the table ...
left hand column ; then in the column marked at the top of the table , sine , tangent , & c : and against the minutes , is the sine , tangent , & c . required . If the degrees are more than 45 , look for them at the bottom of the table ...
Página 42
The line of tangents , marked Tan . begins at the left hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 , 30 , 40 , 45 , where there is a brass pin , just under 90 in the line of sines ; because the sine of 90 ° is equal to the ...
The line of tangents , marked Tan . begins at the left hand , and is numbered 1 , 2 , 3 , & c . to 10 , then 20 , 30 , 40 , 45 , where there is a brass pin , just under 90 in the line of sines ; because the sine of 90 ° is equal 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