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Elements of geometry, containing books I and II with exercises and notes (1882)

Smith, J. Hamblin (James Hamblin), 1829-1901 · Toronto : Gage · leaf 106

An illustration from Elements of geometry, containing books I and II with exercises and notes, 1882, leaf 106
z> It is easy to prove that AC and BD bisect each other atright angles. Then if the measure of J. C be x, and BD ... y, measure of area of rhombus=twice measure of a ACD. = twice ^^2* Books I. & II.] AREA OF A TRAPEZIUM. 99 Area of a Traptzium. Let A BCD be the given trapezium, having the… … Produce DC to F, making CF=AB. Join AF, cutting BC in 0. Then in as AOB, COF, V L BAO= L CFO, and z AOB=^ i FOG, and AB=CF; .% ACOi^= A^O^. 1.26. Hence trapezium ABCD= aADF. Now suppose the measures of AB, CD, AE to be m, n, prespectively; .*. measure of DF=m + 7i, . CF=AB. Then measure of area of…

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