| Robert Potts - 1865 - 528 sider
...lines. Or, in other words :— If the diagonals of a quadrilateral figure intersect one another, BO that the rectangle contained by the segments of one of...rectangle contained by the segments of the other; then a circle may be described about the quadrilateral. Prop- xxxvi. The converse of the corollary... | |
| Euclides - 1865 - 402 sider
...equal to a given rectilineal angle. Prop. 35. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Prop. 36. If from any point without a circle two straight Uses be drawn, one of which cuts the circle,... | |
| Bombay (India : State). Board of Education - 1851 - 764 sider
...a certain species : thus one of the properties of the circle is that if two chords cut oue another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. The qualities which peculiarly belong to some individuals, and not to others, are called accidents... | |
| Euclid, Isaac Todhunter - 1867 - 424 sider
...lines cut one another within a circle, the rectangle 'contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle contained by AE, EC shall be... | |
| Euclid, Isaac Todhunter - 1867 - 426 sider
...lines cut one another within a circle, the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle contained by AE, EC shall be... | |
| Robert Potts - 1868 - 434 sider
...Or, in other words : — If the diagonals of a quadrilateral figure intersect one another, so that the rectangle contained by the segments of one of...the rectangle contained by the segments of the other ; then a circle may be described about the quadrilateral. Prop. xxxvI. The converse of the corollary... | |
| Edinburgh univ - 1868 - 334 sider
...squares of the sides of the parallelogram. 3. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. To inscribe a circle in a given triangle. 5- Equal triangles which have one angle of the one equal... | |
| Richard Wormell - 1868 - 286 sider
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5. How would you... | |
| James Maurice Wilson - 1868 - 150 sider
...within or without a circle, chords are drawn, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other. Let AOB, COD be the chords through O. Then is AO x OB = CO x OD. For join CB, AD. Then since the angle... | |
| Richard Wormell - 1870 - 304 sider
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5- How would you... | |
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