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
... perpendicular to it . Thus ADC and BDC are right angles , and the line CD is perpendicular to AB , Fig . 4 . 10. An acute angle is that which is less than a right angle , as BDE , Fig . 4 . 11. An obtuse angle is that which is greater ...
... perpendicular to it . Thus ADC and BDC are right angles , and the line CD is perpendicular to AB , Fig . 4 . 10. An acute angle is that which is less than a right angle , as BDE , Fig . 4 . 11. An obtuse angle is that which is greater ...
Página 30
... perpendicular required . PROBLEM III . To raise a perpendicular on the end B of a right line AB , Fig . 20 . Take any point D not in the line AB , and with the distance from D to B , describe a circle cutting AB in E ; from E through D ...
... perpendicular required . PROBLEM III . To raise a perpendicular on the end B of a right line AB , Fig . 20 . Take any point D not in the line AB , and with the distance from D to B , describe a circle cutting AB in E ; from E through D ...
Página 31
... At the end B of the line AB , by problem 3 , erect the perpendicular BC , and make it equal to AB ; with A and Cas centres , and distance AB or BC describe two arcs cutting each other in D ; draw AD and CD GEOMETRICAL PROBLEMS . 31.
... At the end B of the line AB , by problem 3 , erect the perpendicular BC , and make it equal to AB ; with A and Cas centres , and distance AB or BC describe two arcs cutting each other in D ; draw AD and CD GEOMETRICAL PROBLEMS . 31.
Página 34
... perpendicular to СЕ : then DG will be a mean propor . tional between A and B. C B PROBLEM XVI . G DE To divide a given right line AB into two parts that shall have the same ratio to each other as two given lines C and D. Draw AE making ...
... perpendicular to СЕ : then DG will be a mean propor . tional between A and B. C B PROBLEM XVI . G DE To divide a given right line AB into two parts that shall have the same ratio to each other as two given lines C and D. Draw AE making ...
Página 36
... perpendicular to the diameter which passes through the other extremity : thus BF is the sine of the arc AB or BD , Fig . 31 . 7. The cosine of an arc , is that part of the diameter which is intercepted between the sine and the centre ...
... perpendicular to the diameter which passes through the other extremity : thus BF is the sine of the arc AB or BD , Fig . 31 . 7. The cosine of an arc , is that part of the diameter which is intercepted between the sine and the centre ...
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