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
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Página 29
... Ratio is a mutual relation between two quantities of the same kind with respect to magnitude . Note . A ratio is ... given point A , in a right line EF , to erect a per pendicular , Fig . 19 . From the point A , lay off on each ...
... Ratio is a mutual relation between two quantities of the same kind with respect to magnitude . Note . A ratio is ... given point A , in a right line EF , to erect a per pendicular , Fig . 19 . From the point A , lay off on each ...
Página 34
... 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 any angle with AB ; in AE take AF equal D C and FE equal D ; join EB and draw FG parallel to it ; then AG will ...
... 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 any angle with AB ; in AE take AF equal D C and FE equal D ; join EB and draw FG parallel to it ; then AG will ...
Página 154
... given ratio . RULE . As the less number of the given ratio , Is to the greater ; So is the given area , To a fourth term * . The square root of this fourth term will be the length required . Having the length , the breadth may be ...
... given ratio . RULE . As the less number of the given ratio , Is to the greater ; So is the given area , To a fourth term * . The square root of this fourth term will be the length required . Having the length , the breadth may be ...
Página 155
... ratio of 9 to 7. Ans . Length 75.725 P. Breadth 58.897 . P. PROBLEM IV . To lay out a given quantity of land in a rectangular form , having the length to exceed the breadth by a given dif- ference . RULE . To the given area , add the ...
... ratio of 9 to 7. Ans . Length 75.725 P. Breadth 58.897 . P. PROBLEM IV . To lay out a given quantity of land in a rectangular form , having the length to exceed the breadth by a given dif- ference . RULE . To the given area , add the ...
Página 161
... Given the area of the triangle ABC , Fig . 90 , 500 square perches , and the base AB 40 perches ; it is re- quired ... ratio of the part to be cut off , to the whole triangle ; draw FE perpendicular to AB , meeting the semicircle ...
... Given the area of the triangle ABC , Fig . 90 , 500 square perches , and the base AB 40 perches ; it is re- quired ... ratio of the part to be cut off , to the whole triangle ; draw FE perpendicular to AB , meeting the semicircle ...
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