The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
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Side iii
... sides . The whole matter therefore deserves the best attention of the Geometers . The student will find in this edition all the useful pro- positions of Euclid and also the inferior ones which are given in the corollaries . Thus in a ...
... sides . The whole matter therefore deserves the best attention of the Geometers . The student will find in this edition all the useful pro- positions of Euclid and also the inferior ones which are given in the corollaries . Thus in a ...
Side 5
... sides equal . XXII . A square is a four - sided figure , having all its sides equal and all its angles right angles . XXIII . Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do ...
... sides equal . XXII . A square is a four - sided figure , having all its sides equal and all its angles right angles . XXIII . Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do ...
Side 10
... sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by these sides equal to one another , their bases or third sides are equal : the two triangles are equal and their other angles are ...
... sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by these sides equal to one another , their bases or third sides are equal : the two triangles are equal and their other angles are ...
Side 11
... sides of the one & c . Q. E. D .. PROP . IV . THEOREM . ( Prop . 5 and 6 : 1. E. ) The angles at the base of an isosceles triangle are equal to one another ; and conversely , if the angles at the base of a tri- angle are equal , it is ...
... sides of the one & c . Q. E. D .. PROP . IV . THEOREM . ( Prop . 5 and 6 : 1. E. ) The angles at the base of an isosceles triangle are equal to one another ; and conversely , if the angles at the base of a tri- angle are equal , it is ...
Side 12
... sides AB , AC are equal to the sides AD , AF ( def . 6 ) , and the angle BAC contained by the sides AB , AC is equal to the angle FAD ( Prop . 2 ) contained by the sides AD , AF , therefore the triangles ABC and ADF are equal ( Prop . 3 ) ...
... sides AB , AC are equal to the sides AD , AF ( def . 6 ) , and the angle BAC contained by the sides AB , AC is equal to the angle FAD ( Prop . 2 ) contained by the sides AD , AF , therefore the triangles ABC and ADF are equal ( Prop . 3 ) ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 10 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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.
Side 74 - Any two sides of a triangle are together greater than the third side.
Side 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...
Side 53 - ... figures are to one another in the duplicate ratio of their homologous sides.
Side 62 - ... in a segment less than a semicircle, is greater than a right angle...
Side 59 - The angles in the same segment of a circle are equal to one another.