## 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 |

### Dentro del libro

Resultados 1-5 de 45

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**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

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**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 . * *

... 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

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**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 By Calculation . As ... Página 48

... sine of the angle opposite the former , To the sine of the angle opposite the latter . * * This is evident from the

... 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 preced- Add the angle thus found to the given angle , ing case . 48 PLANE TRIGONOMETRY .### Términos y frases comunes

ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column cube root decimal 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 number given ratio given side John Gummere Lat Dep latitude and departure length logarithm M.
M. Sine measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC square root station stationary line subtract survey tance Tang tangent tract of land trapezium trapezoid triangle ABC trigonometry