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 26
... right angled triangle has one right angle , as ABC , Fig . 9 : in which the side AC opposite to the 19. An obtuse angled triangle has one obtuse angle , right angle is called the hypothenuse . GEOMETRY . Geometrical Definitions,
... right angled triangle has one right angle , as ABC , Fig . 9 : in which the side AC opposite to the 19. An obtuse angled triangle has one obtuse angle , right angle is called the hypothenuse . GEOMETRY . Geometrical Definitions,
Página 27
... opposite sides are paral- lel , is called a parallelogram , as D , Fig . 11 . 24. A parallelogram , whose angles are all right angles , is called a rectangle , as E , Fig . 12 . 25. A parallelogram whose sides are all equal , and angles ...
... opposite sides are paral- lel , is called a parallelogram , as D , Fig . 11 . 24. A parallelogram , whose angles are all right angles , is called a rectangle , as E , Fig . 12 . 25. A parallelogram whose sides are all equal , and angles ...
Página 42
... opposite 10 on the line of numbers . Tangents . 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 ...
... opposite 10 on the line of numbers . Tangents . 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 ...
Página 43
... opposite an- gles will be equal : thus AEC BED and AED = CEB . Fig . 36 . = 4. The sum of the three angles of a plane triangle is equal to two right angles , or 180o . 5. If the sum of two angles of a triangle be subtracted from 180 ...
... opposite an- gles will be equal : thus AEC BED and AED = CEB . Fig . 36 . = 4. The sum of the three angles of a plane triangle is equal to two right angles , or 180o . 5. If the sum of two angles of a triangle be subtracted from 180 ...
Página 44
... opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the required side . * * DEMONSTRATION . Let ABC , Fig . 40 , be any plane triangle ; take Note 1. - The proportions in ...
... opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the required side . * * DEMONSTRATION . Let ABC , Fig . 40 , be any plane triangle ; take Note 1. - The proportions in ...
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