The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-5 av 27
Side 5
Āryabhaṭa Jasoda Nauden Sircar. XIX . Triangles are rectilineal figures which are bounded by three straight lines . [ Figure ABC Prop . 3. is a triangle . ] XX . A right - angled triangle is that which has a right angle . XXI . An isosceles ...
Āryabhaṭa Jasoda Nauden Sircar. XIX . Triangles are rectilineal figures which are bounded by three straight lines . [ Figure ABC Prop . 3. is a triangle . ] XX . A right - angled triangle is that which has a right angle . XXI . An isosceles ...
Side 10
... triangle ABC is triangle DEF ; and the remaining angles of the one are equal to the remaining angles of the other , each to each , viz . , those to which the equal sides are opposite that is , the angle ABC is equal to the angle DEF ...
... triangle ABC is triangle DEF ; and the remaining angles of the one are equal to the remaining angles of the other , each to each , viz . , those to which the equal sides are opposite that is , the angle ABC is equal to the angle DEF ...
Side 11
... triangle ABC coincides with the whole triangle DEF , and is , therefore equal to it . angles of the one coincide with the the other and are therefore equal to And the remaining remaining angles of them ... triangles ABC and ADF , ( 11 )
... triangle ABC coincides with the whole triangle DEF , and is , therefore equal to it . angles of the one coincide with the the other and are therefore equal to And the remaining remaining angles of them ... triangles ABC and ADF , ( 11 )
Side 12
... triangles ABC and ADF are equal ( Prop . 3 ) , and the angles at B and C are equal to the angles at D and F. Because those angles are equal , which are opposite to the equal sides ( Prop . 3 ) ; therefore the angle at B is equal to ...
... triangles ABC and ADF are equal ( Prop . 3 ) , and the angles at B and C are equal to the angles at D and F. Because those angles are equal , which are opposite to the equal sides ( Prop . 3 ) ; therefore the angle at B is equal to ...
Side 14
... triangle upon a given straight line ( E. 1. 1. ) AGB is an equilateral triangle upon AB , the given straight line ... ABC be a triangle , and its side BC be produced to D. The exterior angle ACD is greater than either of the rior ...
... triangle upon a given straight line ( E. 1. 1. ) AGB is an equilateral triangle upon AB , the given straight line ... ABC be a triangle , and its side BC be produced to D. The exterior angle ACD is greater than either of the rior ...
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.