The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-5 av 6
Side 39
... triangle & c . Q. E. D. Cor . 1. 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 , D Let ABCDE be any rectilineal figure . All the ( 39 )
... triangle & c . Q. E. D. Cor . 1. 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 , D Let ABCDE be any rectilineal figure . All the ( 39 )
Side 40
... twice as many right angles as the figure has sides . Divide the rectilineal figure ABCDE 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 . A F Because the ...
... twice as many right angles as the figure has sides . Divide the rectilineal figure ABCDE 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 . A F Because the ...
Side 41
Āryabhaṭa Jasoda Nauden Sircar. twice as many right angles as the figure has sides . But it has been proved by the foregoing corollary , that all the interior angles together with four right angles are equal to twice as many right angles ...
Āryabhaṭa Jasoda Nauden Sircar. twice as many right angles as the figure has sides . But it has been proved by the foregoing corollary , that all the interior angles together with four right angles are equal to twice as many right angles ...
Side 45
... twice the rectangle AB.BD. B Upon AD describe the semicircle ADC , draw BC per- pendicular from B. Join CA , CB ... twice the square of BC . Because the square of BC is equal to the rectangle AB.BD ( 25. cor . ) , therefore twice the ...
... twice the rectangle AB.BD. B Upon AD describe the semicircle ADC , draw BC per- pendicular from B. Join CA , CB ... twice the square of BC . Because the square of BC is equal to the rectangle AB.BD ( 25. cor . ) , therefore twice the ...
Side 47
... twice the rectangle contained by either of these sides , and the straight line intercepted between the acute angle and the perpendicular drawn to it from the opposite angle . Let BCD be a triangle ( above figure ) , and the angle at Can ...
... twice the rectangle contained by either of these sides , and the straight line intercepted between the acute angle and the perpendicular drawn to it from the opposite angle . Let BCD be a triangle ( above figure ) , and the angle at Can ...
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.