## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar |

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### Common terms and phrases

AC is equal alternate angle ABC angle ADB angle BAC angle DEF angles are equal arc BC base BC bisected centre circle circumference coincide conversely described diameter divided double draw drawn equal angles equal Ax equal to AC equiangular Euclid exterior extremities fall figure fore four fourth Geometry given straight lines greater interior angles Join less Let ABC magnitudes meet multiple opposite angles parallel parallelogram parallelogram AC pass perpendicular Place polygon produced PROP propositions proved Q.E.D. PROP radius reason rectangle contained rectilineal figure right angles sector segment semicircle shown side BC sides similar square stand straight line taken THEOREM third angle touches the circle triangle ABC twice Wherefore

### Popular passages

Page 10 - If two triangles have two sides of the one equal to two sides of the...

Page 39 - 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 40 - ... 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 79 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.

Page 74 - Any two sides of a triangle are together greater than the third side.

Page 47 - 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 53 - ... figures are to one another in the duplicate ratio of their homologous sides.

Page 62 - ... in a segment less than a semicircle, is greater than a right angle...

Page 59 - The angles in the same segment of a circle are equal to one another.