The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-5 av 12
Side 5
... parallelogram is a four - sided figure of which the opposite sides are parallel , aud the diagonal is the straight line joining the vertices of two opposite angles . [ See figure Prop . XI . ] XXV . Every right - angled parallelogram is ...
... parallelogram is a four - sided figure of which the opposite sides are parallel , aud the diagonal is the straight line joining the vertices of two opposite angles . [ See figure Prop . XI . ] XXV . Every right - angled parallelogram is ...
Side 20
... parallelogram are equal to one another , and the diagonal bisects it , that is , divides it into two equal parts . Let AC be a parallelogram , of which BD is a diagonal . The opposite sides and angles of the figure are equal to e ...
... parallelogram are equal to one another , and the diagonal bisects it , that is , divides it into two equal parts . Let AC be a parallelogram , of which BD is a diagonal . The opposite sides and angles of the figure are equal to e ...
Side 21
... parallelogram are equal to one another . 1 Also the diagonal BD bisects the parallelogram AC , because the two triangles ABD , BCD , are equal . Simi- larly it can be proved that the diagonal AC bisects the parallelogram . Wherefore the ...
... parallelogram are equal to one another . 1 Also the diagonal BD bisects the parallelogram AC , because the two triangles ABD , BCD , are equal . Simi- larly it can be proved that the diagonal AC bisects the parallelogram . Wherefore the ...
Side 22
... parallelogram AC is equal ( Ax . 4 ) to the parallelogram BF . Next , let the sides AD , EF , opposite to the base BC , be not terminated in the same point . Because AC is a parallelogram , AD is equal ( P. 11 ) tỏ BC . For a similar ...
... parallelogram AC is equal ( Ax . 4 ) to the parallelogram BF . Next , let the sides AD , EF , opposite to the base BC , be not terminated in the same point . Because AC is a parallelogram , AD is equal ( P. 11 ) tỏ BC . For a similar ...
Side 23
... parallelogram and a triangle be upon the between the same parallels , the parallelogram is triangle . same base and double of the First , let ABCD be a parallelogram and ABC a tri- angle . Because AC is the diagonal of the parallelo ...
... parallelogram and a triangle be upon the between the same parallels , the parallelogram is triangle . same base and double of the First , let ABCD be a parallelogram and ABC a tri- angle . Because AC is the diagonal of the parallelo ...
Vanlige uttrykk og setninger
AB is equal AC is equal angle ABC angle ADB angle BAC angle DEF angle EDF 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 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 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
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.