Geometrical and graphical essays, containing a general description of the mathematical instruments used in geometry, civil and military surveying, levelling, and perspective; with many new practical problems (1803)
Adams, George, 1750-1795, Jones, William, 1763-1831 · London, Printed by W. Glendinning for, and sold by W. and S. Jones · leaf 351
aying entirely out of the survey,le multiplied hy the respective northing 6;south-1N G 77uide on each respective line ; /^^ d i f f e r e x c ebetween the sum of the north vrotivcis, and thesum of the sovTH products, will he double the areaof the survey.* d * Demonstration. Let ABC ^D E F be any… … CO ^.J^ Then. [ say, the difTcrcnce between the £um of the products A a-4-B bx a b, B b+C ex b c, C c+D dx c d 5 and the sum of the products Dd+EeXde, Ee-f-Ffxef, Ff+Aaxfa3 will bedouble the area of A B C D E F A. For,by article 4,page327,the former productswill be, respectively,double the areas of…
Mathematical instruments
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