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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 107

An illustration from Elements of geometry, containing books I and II with exercises and notes, 1882, leaf 107
S D Thus the area of the irregular polygon ABODE is equalto the sum of the areas of the triangles ABE, EBD, DBC. II. The polygon may he converted into a single triangleof equal area. If ABODE be a pentagon, we can convert it into anequivalent quadrilateral by the following process : … J3 ^ -^ Join BD and draw OF parallel to BD, meeting ED pro-duced in F, and join BF. Then will quadrilateral ^£Fi:=pentagon ABODE. For A BDF= a BOD, on same base BD and betweensame parallels. If, then, from the pentagon we remove a BOD, and addA BDF to the remainder, we obtain a quadrilateral…

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