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
... and with the same distance and centre A describe the arc FG ; make FB equal to AE , and through A and B draw the line AB , and it will be PROBLEM VI . At a given point B , in parallel to CD . : 30 GEOMETRICAL PROBLEMS .
... and with the same distance and centre A describe the arc FG ; make FB equal to AE , and through A and B draw the line AB , and it will be PROBLEM VI . At a given point B , in parallel to CD . : 30 GEOMETRICAL PROBLEMS .
Página 31
... equal to DE , and through B and H draw the line BH ; then will the angle HBG be equal to the angle A. PROBLEM VII . To bisect any right lined angle BAC , Fig . 24 . In the lines AB and AC , from the point A , set off equal distances ...
... equal to DE , and through B and H draw the line BH ; then will the angle HBG be equal to the angle A. PROBLEM VII . To bisect any right lined angle BAC , Fig . 24 . In the lines AB and AC , from the point A , set off equal distances ...
Página 32
... equal parts AM , MN , & c . Bo , on , & c . as the line AB is to be divided into ; then draw Mm , Nn , & c ... equal parts ; divide the lines EB , and FC , each into ten equal parts , and from the points of division on the line EB ...
... equal parts AM , MN , & c . Bo , on , & c . as the line AB is to be divided into ; then draw Mm , Nn , & c ... equal parts ; divide the lines EB , and FC , each into ten equal parts , and from the points of division on the line EB ...
Página 33
... equal A , DH equal B and DL equal C ; join GH and draw LM parallel to it : DM will be a fourth proportional to A , B and L G C. D F HM E. PROBLEM XV . To find a mean proportional between two GEOMETRICAL PROBLEMS . 33.
... equal A , DH equal B and DL equal C ; join GH and draw LM parallel to it : DM will be a fourth proportional to A , B and L G C. D F HM E. PROBLEM XV . To find a mean proportional between two GEOMETRICAL PROBLEMS . 33.
Página 34
... equal D C and FE equal D ; join EB and draw FG parallel to it ; then AG will have to GB the same ratio A C E F that C has to D. G B PLANE TRIGONOMETRY . DEFINITIONS . 1. PLANE TRIGONOMETRY is the 34 . GEOMETRICAL PROBLEMS .
... equal D C and FE equal D ; join EB and draw FG parallel to it ; then AG will have to GB the same ratio A C E F that C has to D. G B PLANE TRIGONOMETRY . DEFINITIONS . 1. PLANE TRIGONOMETRY is the 34 . GEOMETRICAL PROBLEMS .
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle azimuth base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal degrees 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 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 semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry