The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-5 av 17
Side ii
... less com- plicated than Euclid in this respect . The whole appears as a continued demonstration , as if , of a single proposi- tion . The chain is never lost and if lost for a time is resumed soon after , while in Euclid a complication ...
... less com- plicated than Euclid in this respect . The whole appears as a continued demonstration , as if , of a single proposi- tion . The chain is never lost and if lost for a time is resumed soon after , while in Euclid a complication ...
Side 5
... angle . And an acute angle is that which is less than a right angle . XVIII . Rectilineal ( or rectilinear ) figures are those which are bounded by straight lines . XIX . Triangles are rectilineal figures which are bounded by [ 3 ]
... angle . And an acute angle is that which is less than a right angle . XVIII . Rectilineal ( or rectilinear ) figures are those which are bounded by straight lines . XIX . Triangles are rectilineal figures which are bounded by [ 3 ]
Side 5
... less measures the greater ; that is , when the less is contained a certain number of times exactly in the greater . XXVIII . < A greater magnitude is said to be a multiple of a less , when the greater is measured by the less , that is ...
... less measures the greater ; that is , when the less is contained a certain number of times exactly in the greater . XXVIII . < A greater magnitude is said to be a multiple of a less , when the greater is measured by the less , that is ...
Side 12
... less to the greater , which is absurd . In similar way , it can be to proved , that no part of AC could be equal to AB . Therefore AB is not unequal to AC ; that is , AB is equal to AC . Wherefore , the angles at the base & c . Q.E.D. ...
... less to the greater , which is absurd . In similar way , it can be to proved , that no part of AC could be equal to AB . Therefore AB is not unequal to AC ; that is , AB is equal to AC . Wherefore , the angles at the base & c . Q.E.D. ...
Side 16
... less or greater than EFD can be equal to AEF . For , if possible , let the angle EFH which is less than the angle EFD be equal to the angle AEF . Because EF , a straight line , falling upon AB and FH , two other straight lines , makes ...
... less or greater than EFD can be equal to AEF . For , if possible , let the angle EFH which is less than the angle EFD be equal to the angle AEF . Because EF , a straight line , falling upon AB and FH , two other straight lines , makes ...
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.