The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Common terms and phrases
AC is equal angle ABC angle ADB angle BAC angle DEF angle EDF angle EGB angles are equal arc BC base BC base CD bisected centre circle ABCD circumference coincide conversely diameter draw duplicate ratio equal angles equal Ax equal to AC equiangular equimultiples Euclid exterior angle figure described fore given straight lines greater Hindoo Geometry homologous interior angles isosceles triangle Join Let ABC mean proportionals opposite angles parallel parallelogram AC perpendicular polygon produced Q. E. D. Cor Q. E. D. PROP rectangle contained rectilineal figure regular polygon remaining angle right angles sector BGC sector EHF segment semicircle side BC square of BC straight line &c THEOREM third angle touches the circle triangle ABC Wherefore whole angle
Popular passages
Page 12 - If two triangles have two sides of the one equal to two sides of the...
Page 41 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 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.
Page 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.
Page 76 - Any two sides of a triangle are together greater than the third side.
Page 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...
Page 57 - ... figures are to one another in the duplicate ratio of their homologous sides.
Page 64 - ... in a segment less than a semicircle, is greater than a right angle...
Page 61 - The angles in the same segment of a circle are equal to one another.