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
... the line AB , by problem 3 , erect the perpendicular BC , and make it equal to AB ; with A and cutting each other in D ; draw AD and CD C as centres , and distance AB or BC describe two arcs GEOMETRICAL PROBLEMS . 31.
... the line AB , by problem 3 , erect the perpendicular BC , and make it equal to AB ; with A and cutting each other in D ; draw AD and CD C as centres , and distance AB or BC describe two arcs GEOMETRICAL PROBLEMS . 31.
Página 34
... perpendicular to CE : then DG will be a mean propor . tional between A and B. C A- B- PROBLEM XVI . DF 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 ...
... perpendicular to CE : then DG will be a mean propor . tional between A and B. C A- B- PROBLEM XVI . DF 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 ...
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 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