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 253
straight lines ; show thatthe triangle ADE is to the triangle FBC as DE is to BC. Ex. 2. If, from any point in a diagonal of a parallelogram,straight lines be drawn to the extremities of the other diagonal,the four triangles, into which the parallelogram is then divided,must be equal, two and two.… … Let DE he drawn ll to BC, a side of the A ABC.Then must BD be to DA as CE to EA.Join BE, CD. Then •. a BDE= a CDE, on the same hase DE and hetween the same lis, DE, BC. I. 37. .-. A BDE is to A ADE as a CDE is to a ADE V. 6. But A 5Z)^ is to A ^DE as BD is to DA, VI. 1. and A CDE Ls to a ADE as CE…
Geometry · Geometry, Plane
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