| 1885 - 608 sider
...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.... | |
| E. J. Brooksmith - 1889 - 356 sider
...semi-circle is greater than a right angle. 7. 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 this in the one case only in which one of the straight lines passes through the centre and cuts... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...to Mr. RF Davis, MA PROPOSITION 35. THEOREM. If two straight lines within a circle cut one another, **the rectangle contained by the segments of one of...contained by the segments of the other. Let the two** chds. AC, BD of the 0 ABC D intersect at E, then rect. AE, EC = rect. BE, ED. (1) If each passes through... | |
| Euclid - 1890 - 442 sider
...— If two chords of a circle cut each other, the rectangle contained by the segments of one chord is **equal to the rectangle contained by the segments of the other. Let** chds. AB, CD of O, whose centre is O, cut in P. Join OA, OP; and draw ON -L to AB. Since AB is divided... | |
| Great Britain. Civil Service Commission - 1896 - 112 sider
...are together three times the square on AH. 7. If two straight lines cut one another within a circle, **the rectangle contained by the segments of one of them is equal to the rectangle contained by** those of the other. 8. If a straight line be drawn parallel to one of the sides of a triangle, prove... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...If two chords of a circle cut one another, the rectangle contained by the segments of one shall be **equal to the rectangle contained by the segments of the other. Let** AB, CD, two chords of the 0 ACBD, cut one another at E. Then shall the reel. AE, BB = the recl. CE,... | |
| 1903 - 898 sider
...through the points B, C, D, E. 6. If two straight lines within a circle cut one another, preve that **the rectangle contained by the segments of one of...rectangle contained by the segments of the other.** 7. From any point on a circle chords are drawn «nd produced a distance beyond the circle equal to... | |
| Olaus Henrici, George Charles Turner - 1903 - 236 sider
...straight lines intersect within or without a circle, the rectangle contained by the segments of the one is **equal to the rectangle contained by the segments of the other. Let** AB, CD be the lines intersecting at P and let O be the centre of the circle. If PA = a, PB=ta, then... | |
| Euclid - 1904 - 488 sider
...If two chords of a circle cut one another, the rectangle contained by the segments of one shall be **equal to the rectangle contained by the segments of the other. Let** AB, CD, two chords of the 0 ACBD, cut one another at E. Then shall the rect. AE, EB = the rect. CE,... | |
| Civil Service Commission of Canada - 1910 - 240 sider
...to the whole triangle and to one another. 7. 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.** PLANE TRIGONOMETRY. Thursday, July 7th, 1910, from 9 am to 12 noon. NOTE. — Do not use natural trigonometric... | |
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