## The elements of Euclid: with the use and application of the principal propositions from Dechalles, Simson, and Playfair |

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ABCD angle ABC angle ACB angle BAC angle DEF angles AFG angles equal arch AC base BC BDEH CBEG centre circumference consequently Coroll DEMONSTRATION describe a circle diameter double the square draw the line duplicate proportion equal to AC equiangular equimultiples external angle fore fourth greater half the perimeter inscribe less Let the line likewise line EG lines AC manner measure multiple opposite angles parallel parallelogram pass perpendicular point F polygons PROBLEM Q. E. D. PROPOSITION radius ratio rectangle contained rectilineal figure right angles right line secant segment side AC similar sine square of AC Suppose the line tangent THEOREM third touch the circle trian triangle ABC triangle DEF trigonometry