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
Página 41
... side , a diagonal scale , and also the lines of chords , sines , tangents , and secants , with several others . On the other side there are several logarithmic lines as follow : The line of numbers marked Num . , is numbered from the ...
... side , a diagonal scale , and also the lines of chords , sines , tangents , and secants , with several others . On the other side there are several logarithmic lines as follow : The line of numbers marked Num . , is numbered from the ...
Página 42
... side of the scale , as Sine Rhumbs , Tangent Rhumbs , Versed Sines , & c .; but those described are sufficient for solving all the pro- ? Remarks on Angles , Triangles , c . 1. blems in plane trigonometry . 42 PLANE TRIGONOMETRY .
... side of the scale , as Sine Rhumbs , Tangent Rhumbs , Versed Sines , & c .; but those described are sufficient for solving all the pro- ? Remarks on Angles , Triangles , c . 1. blems in plane trigonometry . 42 PLANE TRIGONOMETRY .
Página 43
... side of it , the angles thus formed at the point D will be together equal to two right angles , or 180 ° ; thus ADE + EDB = two right angles , or 180o : also ADC + CDF + EDB = two right angles , or 180 ° . Fig . 35 . 2. Since the angles ...
... side of it , the angles thus formed at the point D will be together equal to two right angles , or 180 ° ; thus ADE + EDB = two right angles , or 180o : also ADC + CDF + EDB = two right angles , or 180 ° . Fig . 35 . 2. Since the angles ...
Página 44
... . The angles and one side of any plane triangle being given , to find the other sides . RULE . As the sine of the angle opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the ...
... . The angles and one side of any plane triangle being given , to find the other sides . RULE . As the sine of the angle opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the ...
Página 45
... side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A = 32 ° 15 ′ ; also make the angle B = 114 ° 24 ' and produce BC , AC , till ...
... side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A = 32 ° 15 ′ ; also make the angle B = 114 ° 24 ' and produce BC , AC , till ...
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