 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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,...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-... | |
 | Euclides - 1846 - 292 pages
...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,...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 - Geometry - 1846 - 128 pages
...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,...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.... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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...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... | |
 | London univ - 1846 - 326 pages
...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... | |
 | Euclides - 1848 - 52 pages
...given rectilineal angle. PROP. XXXV. THEOREM. 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. XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of which... | |
 | Great Britain. Council on Education - Education - 1848 - 596 pages
...circumference, so as not to cut the circle. 3. Shew that if two straiuht lines cut one nnother within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. From this proposition deduce the equation to the circle referred to rectangular co-ordinates. Section... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...circumference, so as not to cut the circle. 3. Show that 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. From this proposition deduce the equation to the circle referred to rectangular co-ordinates. SECTION... | |
 | Great Britain. Committee on Education - 1848 - 606 pages
...circumference, so as not to cut the circle. 3. Shew that 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. From this proposition deduce the equation to the circle referred to rectangular co-ordinates. Section... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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,...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... | |
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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... 
