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Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)

Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 107

An illustration from Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes, 1881, leaf 107
F. D Thus the area of the iiTegular 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 : … Join BD and draw OF parallel to BD, meeting ED pro-duced in F, and join BF. Then will quadrilateral .4jBi^jE;=pentagon ABODE. For L. BDF= a BOD, on same base BD and betweensame parallels. If, then, from the pentagon we remove lBOD, and addA BDF to the remainder, we obtain a quadrilateral…

Geometry · Geometry, Plane

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