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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 108

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 108
els. If, then, from the pentagon we remove lBOD, and addA BDF to the remainder, we obtain a quadrilateral ABFEequivalent to the pentagon A BOOFj, Books I. & n.] AREA OF AN IRREGULAR POLYGON. loi The quadrilateral may then, by a similar process, be con-verted into an equivalent triangle, and… … Let ABCDEFG be an irregular polygon. Draw AE, the longest diagonal, and drop pei-pendicularson AE from the other angular points of the polygon. The polygon is thus divided into figures which are eitherright-angled triangles, rectangles, or trapeziums ; and the areasof each of these figures may be…

Geometry · Geometry, Plane

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