The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-4 av 4
Side 5
... radius is a straight line drawn from the centre to the circumference . [ The straight line FA in the circle ABCD is a radius . ] X. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
... radius is a straight line drawn from the centre to the circumference . [ The straight line FA in the circle ABCD is a radius . ] X. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
Side 9
... radius FB may be on the point F of the radius FC and the point B on the point C. Therefore the radii FB and FC coincide ( Ax . 12 ) . And FB coinciding with FC , the radius FA coincides with the radius FD and the arc BA with the arc CD ...
... radius FB may be on the point F of the radius FC and the point B on the point C. Therefore the radii FB and FC coincide ( Ax . 12 ) . And FB coinciding with FC , the radius FA coincides with the radius FD and the arc BA with the arc CD ...
Side 51
... radius AC des- cribe the circle CD . Join DA , CD . From A draw AF perpendicular to CD . Because ABH and HFD are right angles , therefore they are equal . And the angle AHB is equal to the angle FHD ( P. 2 ) . Therefore BAH the third ...
... radius AC des- cribe the circle CD . Join DA , CD . From A draw AF perpendicular to CD . Because ABH and HFD are right angles , therefore they are equal . And the angle AHB is equal to the angle FHD ( P. 2 ) . Therefore BAH the third ...
Side 73
... radius HE may be on the radius GB and the arc EF on BC . Therefore EF will agree with BC ( 45. cor . ) There- fore if EF and BC are equal , they will coincide . If unequal , the less will fall short of the greater . It is also plain ...
... radius HE may be on the radius GB and the arc EF on BC . Therefore EF will agree with BC ( 45. cor . ) There- fore if EF and BC are equal , they will coincide . If unequal , the less will fall short of the greater . It is also plain ...
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.