 | James Thomson - 1844 - 328 Seiten
...the part of it without the circle. (Euc. III. 36. Cor.) 8. If two chords cut one another in a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Euc. III. 35.) Let ABC be the required triangle, and let the leg AC or BC = x. Then (Euc. I. 47.)... | |
 | Euclid - 1845 - 218 Seiten
...containing an angle equal to the given angle D. Which was to be done. PROPOSITION XXXV. THEOR. — If two straight lines within a circle cut one another,...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle contained by AE, EC is equal... | |
 | Euclides - 1845 - 546 Seiten
...given angle DQEF PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within the circle ABCD. Then the rectangle contained by AE, EC... | |
 | Euclid, James Thomson - 1845 - 382 Seiten
...an angle equal to the given angle D : which was to be done. PROP. XXXV. THEOR. — If two chords of a circle cut one another, the rectangle contained...rectangle contained by the segments of the other. In the circle ABCD, let the two chords AC, BD cut one another in the point E : the rectangle AE.EC... | |
 | James Thomson - 1845 - 328 Seiten
...the part of it without the circle. (Euc. III. 36. Cor.) 8. If two chords cut one another in a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Euc. III. 35.) Let ABC be the required triangle, and let the leg AC or BC =x. Then (Euc. 1.47.) AB... | |
 | Euclides - 1846 - 292 Seiten
...been cut off the segment BAC, containing an angle equal to the given angle DQEP PROP. XXXV. THEOR. If two straight lines within a circle cut one another,...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E : the rectangle contained by AE, EC shall... | |
 | Great Britain. Admiralty - 1846 - 128 Seiten
...AB, the seg. AHB of a 0 is described which contains an Z — given ZC. PROP. LXII. THEOR. 35. 3Eu. If two straight lines within a circle cut one another,...contained by the segments of the other. Let the two str. lines AC, BD cut each other in E within 0 ABCD: then AE. EC = BE. ED. Fig. 4. 1st. Let AC, BD... | |
 | Great Britain. Admiralty - 1846 - 128 Seiten
...AB, the seg. AHB of a 0 is described which contains an /_ = given ZC . PROP. LXII. THEOR. 35. 3Eu. If two straight lines within a circle cut one another,...contained by the segments of the other. Let the two str. lines AC, BD cut each other in E within 0 ABCD: then AE . EC = BE. ED. Fig. 1. Kg- 2 - D Kg. 4.... | |
 | Euclid, John Playfair - 1846 - 334 Seiten
...containing an angle equal to the given angle D. PROP. XXXV. THEOR. If two straight lines within a ciftle cut one another, the rectangle contained by the segments...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle contained by AE, EC is equal... | |
 | London univ - 1846 - 326 Seiten
...produced the perpendicular falls, and the distance between the perpendicular and the obtuse angle. 5. If two straight lines within a circle cut one another, the rectangle contained by the segments of any one of them is equal to the rectangle contained by the segments of the other. 6. When are rectilineal... | |
| |
BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... 
