The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-5 av 7
Side 14
Āryabhaṭa Jasoda Nauden Sircar. of these angles is called a right angle , and the straight line which stands on the ... exterior angle is greater than either of the interior opposite angles , Let ABC be a triangle , and its side BC be ...
Āryabhaṭa Jasoda Nauden Sircar. of these angles is called a right angle , and the straight line which stands on the ... exterior angle is greater than either of the interior opposite angles , Let ABC be a triangle , and its side BC be ...
Side 16
... triangle , and its exterior angle AEF is greater ( P. 6 ) than its in- terior and opposite angle EFG . But the angle AEF is equal ( Hyp . ) to the angle EFG . Therfore the angle AEF is both greater than , and equal to the angle EFG ...
... triangle , and its exterior angle AEF is greater ( P. 6 ) than its in- terior and opposite angle EFG . But the angle AEF is equal ( Hyp . ) to the angle EFG . Therfore the angle AEF is both greater than , and equal to the angle EFG ...
Side 17
... exterior angle is equal to the interior apposite angle or the two interior angles are together equal to two right angles ; the two straight lines are parallel . Let EF fall upon AB , CD which are parallel . The exterior angle EGB is ...
... exterior angle is equal to the interior apposite angle or the two interior angles are together equal to two right angles ; the two straight lines are parallel . Let EF fall upon AB , CD which are parallel . The exterior angle EGB is ...
Side 22
... exterior angle FDC is equal ( I. 8 ) to the interior and opposite angle EAB . Therefore the base FC is equal ( P. 3 ) to the base EB , and the triangle FDC to the triangle EAB . From the figure ABCF , take the tri- angle FDC , and the ...
... exterior angle FDC is equal ( I. 8 ) to the interior and opposite angle EAB . Therefore the base FC is equal ( P. 3 ) to the base EB , and the triangle FDC to the triangle EAB . From the figure ABCF , take the tri- angle FDC , and the ...
Side 39
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D. Then the ...
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D. Then the ...
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.