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  Item Reference: KCLCAL-1851-1852-369

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THE SCHOOL 373 Divide straight line into two parts so that the rectangle of the whole and one of the parts shall be equal to the square of the other part Find the point algebraically The opposite angles of quadrilateral inscribed in circle are together equal to two right angles The squares of the sides of quadrilateral are greater than the squares of its diagonals by times the square of the line joining the middle points of the diagonals Inscribe circle in given triangle Describe three circles respectively touching two of the produced sides of the triangle and side of the original triangle Make au isosceles triangle having eaeh of the angles at the base double of the third angle 10 Inscribe decagon in given circle and if the radius be 10 feet find the side of the decagon 11 If two triangles have one angle of the one equal to an angle of the other and the sides about the equal angles propor- tionals the triangles shall be similar 12 Similar triangles are to each other in the duplicate ratio of their homologous sides 13 In the triangle Β take BD Α BE IbC AF AC join FD FE then CFE AADF 14 If two chords AC ΒD intersect at right angles arc Β -J- arc DC arc AD -f arc Β
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