## Euclid's Elements of geometry: the first six books, and the portions of the eleventh and twelfth books read at Cambridge, chiefly from the text of Dr. Simson : with explanatory notes, a series of questions on each book, and a selection of geometrical exercises from the senate-house and college examination papers, with hints, etc., designed for the use of the junior classes in public and private schools |

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ABCD Algebraically angle ABC angle BAC angle equal Apply Euc base BC BC is equal chord circle ABC constr demonstrated describe a circle diagonals diameter divided double draw equal angles equiangular equilateral triangle equimultiples Euclid exterior angle Geometrical given circle given line given point given straight line gnomon greater hypotenuse inscribed intersection isosceles triangle less Let ABC lines be drawn meet the circumference multiple opposite angles parallelogram parallelopiped pentagon perpendicular plane polygon porism problem produced Prop proportionals proved Q.E.D. PROPOSITION quadrilateral quadrilateral figure radius ratio rectangle contained rectilineal figure remaining angle right angles right-angled triangle segment semicircle shew shewn similar similar triangles solid angle square on AC tangent THEOREM touch the circle trapezium triangle ABC twice the rectangle vertex vertical angle wherefore