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The first six books of the Elements of Euclid, in which coloured diagrams and symbols are used instead of letters .. (1847)

Euclid, Byrne, Oliver · London, W. Pickering · leaf 298

An illustration from The first six books of the Elements of Euclid, in which coloured diagrams and symbols are used instead of letters .., 1847, leaf 298
o (B. 4. pr. 5),produce to meet the circle, and draw — Since 4fl = 4Hk (hyp-)> and = ^T (B. 3. pr. 21), ,ZL \ are equiangular (B. 1. pr. 32); y (B. 6. pr. 4); ROOK VI. PROP. R. THEOR. 265 • • ——— X ~~^^~ — x (B.6. pr. 16.) = -X + f (B. 2. pr. 3);but X = ------. w (B. 3. pr. 35); X = X h Q.E. D.… … mall F from any angle of a triangle aJlraight line be drawn perpendi-cular to the bafe; the reft anglecontained by the fides of the tri-angle is equal to the rectangle contained bythe perpendicular and the diameter of thecircle defcribed about the triangle.

Geometry

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