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AC is equal angle ABC angle ADB angle AEF angle BAC angle EDF angle EGB angles are equal arc BC base BC base CD bisected centre circle ABCD circumference coincide conversely diameter double draw duplicate ratio equal angles equal Ax equal to AC equiangular equimultiples Euclid exterior angle figure described fore given straight line greater Hindoo Geometry homologous interior isosceles triangle Join Let ABC mean proportionals multiple opposite angles parallel parallelogram AC perpendicular point F polygon produced Q. E. D. Cor Q.E.D. Prop radius rectangle contained rectilineal figure regular polygon remaining angles right angles sector BGC sector EHF segment semicircle side BC square of BC Theorem third angle touches the circle triangle ABC triangle FGL Wherefore whole angle
Seite 12 - If two triangles have two sides of the one equal to two sides of the...
Seite 5 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Seite 42 - ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Seite 76 - Any two sides of a triangle are together greater than the third side.
Seite 49 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the...
Seite 57 - ... figures are to one another in the duplicate ratio of their homologous sides.
Seite 64 - ... in a segment less than a semicircle, is greater than a right angle...