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ABCD adjacent angle equal base bisectors bisects Calculate called centre chord circle circumference circumscribed coincide common construction contained COROLLARY describe diagonals diagram diameter difference distance divided draw drawn equal equidistant equilateral Euclid example EXERCISES external falls figure fixed formed four given circle given point given straight line Graphical greater half Hence hypotenuse inches inscribed intersect isosceles triangle Join length less Let ABC measurement meet middle point NOTE opposite sides parallel parallelogram pass perp perpendicular point of contact position PROBLEM produced Proof quadrilateral radii radius rect rectangle represent required to prove respectively result right angles scale segment shew sides Similarly square straight line Suppose surface tangent Theor Theorem third touch triangle ABC units verify vertex vertical angle
Side xi - IF two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Side 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Side 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side x - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.