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 27
... rectangle , as E. , Fig . 12 . 25. A parallelogram whose sides are all equal , and angles right , is called a square as F , Fig . 13 . 26. A rhomboides is a parallelogram , whose opposite sides are equal and angles oblique , as D , Fig ...
... rectangle , as E. , Fig . 12 . 25. A parallelogram whose sides are all equal , and angles right , is called a square as F , Fig . 13 . 26. A rhomboides is a parallelogram , whose opposite sides are equal and angles oblique , as D , Fig ...
Página 86
... Rectangle , a Rhombus , or a Rhomboides . RULE . ✓ Multiply the length by the height or perpendicular breadth , and the product will be the area . * Note . Because the length of a square is equal to its height , its area will be found ...
... Rectangle , a Rhombus , or a Rhomboides . RULE . ✓ Multiply the length by the height or perpendicular breadth , and the product will be the area . * Note . Because the length of a square is equal to its height , its area will be found ...
Página 90
... rectangle of the given sides , To double the area . * EXAMPLES . 1. In a triangular lot of ground ABC , the side AB measures 64 perches , the side AC 40.5 perches , and their contained angle CAB 30 ° : required the area . Fig . 49 . As ...
... rectangle of the given sides , To double the area . * EXAMPLES . 1. In a triangular lot of ground ABC , the side AB measures 64 perches , the side AC 40.5 perches , and their contained angle CAB 30 ° : required the area . Fig . 49 . As ...
Página 91
... rectangle of radius and the sine of the angle opposite the given side , Is to the rectangle of the sines of the other angles , So is the square of the given side , To double the area . * * DEMONSTRATION . Let AB , Fig . 49 , be the ...
... rectangle of radius and the sine of the angle opposite the given side , Is to the rectangle of the sines of the other angles , So is the square of the given side , To double the area . * * DEMONSTRATION . Let AB , Fig . 49 , be the ...
Página 93
... rectangle MXN is equal to the rectangle AH x DG ; therefore ABC = ABG + BCG + ACG = AH x DG - MXN = √ ( AD × BD ) × ( AH × HB ) = √ ( AB × BD x HB X AH ) . * The angle BAC is less than the angle HBC ( 16.1 ) ; consequently BAG is ...
... rectangle MXN is equal to the rectangle AH x DG ; therefore ABC = ABG + BCG + ACG = AH x DG - MXN = √ ( AD × BD ) × ( AH × HB ) = √ ( AB × BD x HB X AH ) . * The angle BAC is less than the angle HBC ( 16.1 ) ; consequently BAG is ...
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