The First Book of Euclid's Elements: Arranged for Beginners

ABC is equal alternate angles angle ABC angle ACB angle BAC angle equal angles FAB angular point area of ABC base BC bisectors bisects the angle centre coincide Consider the triangles Construction corresponding angle DEF are equal describe a triangle describe the circle diagonal equal angles equal area equal in area equal respectively equal to CD equidistant equilateral triangle exterior angle finite straight line given angle given finite straight given point given straight line given triangle greater included angle interior opposite angle intersect isosceles triangle line BC middle point opposite sides parallelogram perpendicular plane Prop Proposition Q.E.D. EXAMPLES quadrilateral radius rectilineal figure required to prove rhombus right angles right-angled triangle Shew side BC sides equal square straight angle surface third side triangle ABC triangle DEF triangles are equal unlimited straight line Wherefore