| 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 - 336 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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