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 9
Logarithms , 9 Geometrical Definitions , 26 Geometrical Problems , 36 Plane Trigonometry , 35 Application of Plane Trigonometry to the Mensuration of Distances and Heights , 68 Practical Questions , 78 Measuring Land , 81 Preliminary ...
Logarithms , 9 Geometrical Definitions , 26 Geometrical Problems , 36 Plane Trigonometry , 35 Application of Plane Trigonometry to the Mensuration of Distances and Heights , 68 Practical Questions , 78 Measuring Land , 81 Preliminary ...
Página 30
Take any point D not in the line AB , and with the distance from D to B , describe a circle cutting AB in E ; from E through D draw the right line EDC , cutting the periphery in C , and join CB , which will be perpendicular to AB .
Take any point D not in the line AB , and with the distance from D to B , describe a circle cutting AB in E ; from E through D draw the right line EDC , cutting the periphery in C , and join CB , which will be perpendicular to AB .
Página 31
With the centre A and any distance AE , describe the arc DE , and with the same distance and centre B describe the arc FG ; make HG equal to DE , and through B and H draw the line BH ; then will the angle HBG be equal to the angle A.
With the centre A and any distance AE , describe the arc DE , and with the same distance and centre B describe the arc FG ; make HG equal to DE , and through B and H draw the line BH ; then will the angle HBG be equal to the angle A.
Página 32
By problem l , bisect any two of the sides , as AC , BC , by the perpendiculars De and FG ; the point H where they intersect each other will be the centre of the circle ; with this centre , and the distance from it to either of the ...
By problem l , bisect any two of the sides , as AC , BC , by the perpendiculars De and FG ; the point H where they intersect each other will be the centre of the circle ; with this centre , and the distance from it to either of the ...
Página 37
With one foot of the dividers in C transfer the distances from C to 10 , 20 , & c . in the line BE , to the line CF which will then be a line of secants . a By dividing the arcs AD and BD each into 90 equal parts , and proceeding as ...
With one foot of the dividers in C transfer the distances from C to 10 , 20 , & c . in the line BE , to the line CF which will then be a line of secants . a By dividing the arcs AD and BD each into 90 equal parts , and proceeding as ...
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Términos y frases comunes
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