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 by ...
... 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 by ...
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 M x N is equal to the rectangle AH × DG ; therefore ABC = ABG + BCG + ACG = AH × DG = M × N = √ ( AD × BD ) × √ ( AH × HB ) = √ ( AB X BD x HB X AH ) . The angle BAC is less than the angle HBC ( 16.1 ) ; consequently BAG is ...
... rectangle M x N is equal to the rectangle AH × DG ; therefore ABC = ABG + BCG + ACG = AH × DG = M × N = √ ( AD × BD ) × √ ( AH × HB ) = √ ( AB X 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 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
Información bibliográfica
| Título | 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 Schools |
| Autor | John Gummere |
| Edición | 3 |
| Editor | Kimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 |
| Procedencia del original | Biblioteca Pública de Nueva York |
| Digitalizado | 12 Abr. 2011 |
| Largo | 206 páginas |
| Exportar cita | BiBTeX EndNote RefMan |