| 1877
...bo drawn, find the locus of their points of bisection. 7. If two chords in a circle cut one another, **the rectangle contained by the segments of one of them is equal to the** recüingle contained by the segments of the other. If from any point in the diameter of a semicircle... | |
| Āryabhaṭa - 1878
...two straight lines cut one another in a circle, the rectangle contained by the segments of the one is **equal to the rectangle contained by the segments of the other. Let the** straight lines AB and CD cut one another at F in the same circle. The rectangle AF.FB is equal to the... | |
| Edward Harri Mathews - 1879
...two circles •will be of constant length. 3. 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.** Prove that if through a fixed point O any straight line be drawn meeting a fixed circle, whose centre... | |
| University of Oxford - Education, Higher - 1879
...semicircle is greater than a right angle. 10. 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.** 2. EXAMINATION ГОН CLASSICAL HONOURS. I. THE FOUR GOSPELS. 1. Translate : — (l) Eicre'AoeTe bia... | |
| Euclides, James Hamblin Smith - 1879
...triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle con^ tained **by the segments of one of them, is equal to the rectangle...contained by the segments of the other. , Let the** chords AC, BD in the 0 ABCD intersect in the pt. P. Then must rect. AP, PC=rect. BP, PD. From 0, the... | |
| Sandhurst roy. military coll - 1880
...is that in which the two sides are equal. 3. 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.** Divide a given straight line so that the rectangle contained by its segments shall be equal to a given... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...lines cut one another within a circle, the rectangle contdined 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... | |
| Education, Higher - 1881
...line. When is this construction impossible ? 5. 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.** Geometry. Women. t 1. On a given straight line describe a triangle equiangular to a given triangle.... | |
| Euclides - 1881
...contained ty the legments of tho other. In the circle A BCD let the two straight lines AC and JBD, **cut one another in the point E. The rectangle contained by AE** and EC is Of iu al to the rectangle contained by BE and E D. First, let AC and BD pass each through... | |
| 1885
...equally distant from the centre, are equal to one another. 2. If two cords in a circle cut one another, **the rectangle contained by the segments of one of...rectangle contained by the segments of the other.** 3. Describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
| |