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 7
... demonstrations , therefore , throughout this work , the student is supposed to be acquainted with the * Each of these works has lately gone through a new edition , in which considerable additions are stated to have been made . On ...
... demonstrations , therefore , throughout this work , the student is supposed to be acquainted with the * Each of these works has lately gone through a new edition , in which considerable additions are stated to have been made . On ...
Página 8
... demonstrations ; the latter being placed in the form of notes at the bottom of the page . Each rule is exemplified by one wrought example ; and the most of them by several unwrought examples , with the answers annexed . In the laying ...
... demonstrations ; the latter being placed in the form of notes at the bottom of the page . Each rule is exemplified by one wrought example ; and the most of them by several unwrought examples , with the answers annexed . In the laying ...
Página 44
... required side . * * DEMONSTRATION . Let ABC , Fig . 40 , be any plane triangle ; take Note 1. - The proportions in trigonometry are worked by BF = AC , and upon AB let fall the perpendiculars CD and FE , which 44 PLANE TRIGONOMETRY .
... required side . * * DEMONSTRATION . Let ABC , Fig . 40 , be any plane triangle ; take Note 1. - The proportions in trigonometry are worked by BF = AC , and upon AB let fall the perpendiculars CD and FE , which 44 PLANE TRIGONOMETRY .
Página 45
... demonstration is the same . Hence it appears , that in any plane triangle , the sides are to one another as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other sides will be of the ...
... demonstration is the same . Hence it appears , that in any plane triangle , the sides are to one another as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other sides will be of the ...
Página 48
... sine of the angle opposite the former , To the sine of the angle opposite the latter . * * This is evident from the demonstration of the rule in the precedAdd the angle thus found to the given angle , and îng case . 48 PLANE TRIGONOMETRY .
... sine of the angle opposite the former , To the sine of the angle opposite the latter . * * This is evident from the demonstration of the rule in the precedAdd the angle thus found to the given angle , and îng case . 48 PLANE TRIGONOMETRY .
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