The Civil engineer and architect's journal, scientific and railway gazette (1839)
London : [William Laxton] · leaf 259
L THEOREM. Siu—I believe that the following curious property of a circle hasnot hitherto been noticed; or if it has, I am not aware of its existencein any of our works on Geometry. Let A B C D E be a circle, of which A C D is anv given segment:Let any number of triangles A B D, A C D, &c. be… … DEMONSTRATIOX, Join A F, F D, AG, GD; then since F is the centre of the circle,inscribed in the triangle ABD, the lines A F, F D, bisect the anglesBAD, B DA. (Euc. B. 4, P. 4). For a like reason A G,GD, bisectthe angles CAD. C D A; hence the angles FAD, FDA, together,are equal to half the angles,…
Architecture · Civil engineering · Science
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