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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 296

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 296
EFG, ABCD about their equal angles are proportional. .-. CJ AEFG is similar to CJ ABCD.Similarly, HJ FHCK is similar to CJ ABCD ; and .. O AEFG is similar to LJ FHCK. VI. 20. Q. E. D. Ex. Show that each of the complements of the parallelogramis a mean proportional between the parallelograms about… … Let the Os ABCD, AEFG be similar and similarlysituated, and have z DAB common. Then must ABfD and AEFG be about the same diameter. For, if not, let ABCD have its diameter, AHC, not in thesame st. line with AF, the diameter of AEFG. Let GF meet AHC in H, and draw HK II to J D. I. 31. Then ZZ7s ABCD,…

Geometry · Geometry, Plane

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