 | James Thomson - 1844 - Liczba stron: 328
...other and 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...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.)... | |
 | Euclides - 1845 - Liczba stron: 546
...angle equal to the given angle DQEF PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained by the segments...rectangle contained by the segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within the circle ABCD. Then the... | |
 | James Thomson - 1845 - Liczba stron: 328
...other and 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...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... | |
 | Euclid - 1845 - Liczba stron: 218
...was to be done. PROPOSITION XXXV. THEOR. — 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. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle... | |
 | Euclid, James Thomson - 1845 - Liczba stron: 382
...given angle D : which was to be done. PROP. XXXV. THEOR. — If two chords of a circle cut one another, the rectangle contained by the segments of one of...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... | |
 | Euclid, John Playfair - 1846 - Liczba stron: 334
...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 of one of...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle... | |
 | Euclides - 1846 - Liczba stron: 292
...equal to the given angle DQEP PROP. XXXV. THEOR. 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. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E : the rectangle... | |
 | Great Britain. Admiralty - 1846 - Liczba stron: 128
...Z — given ZC. PROP. LXII. THEOR. 35. 3Eu. If two straight lines within a circle cut one another, the rectangle contained by the seg-ments of one of...rectangle 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.... | |
 | Great Britain. Admiralty - 1846 - Liczba stron: 128
.../_ = given ZC . PROP. LXII. THEOR. 35. 3Eu. 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. Let the two str. lines AC, BD cut each other in E within 0 ABCD: then AE . EC = BE. ED. Fig. 1. Kg-... | |
 | London univ - 1846 - Liczba stron: 326
...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 figures said to be similar ? Show that if two triangles are equiangular, they... | |
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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... 
