 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...containing an angle equal to the given angle D. Which was to be done. * Proposition XXX У. Theorem. It two straight lines within a circle cut one another,...rectangle contained by the segments of one of them ia equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD,... | |
 | Euclid - 1826 - 234 pages
...XXXV. THEOREM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments. of the other. contained under AE, EC, is equal to that contained under DE, EB.... | |
 | Euclides - 1826 - 226 pages
...XXXV. THBORKM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments of the other. . contained under AE, EC, is equal to that contained under DE, EB.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle, the SeeN. rectangle contained by the segments of one of them,...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 : the rectangle... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...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...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... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...PROP. XXXV. THEO& tf two straight lines within 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 two straight lines AC, BD, within the circle ABCD, cut one" another in the point E : the... | |
 | Euclid - 1835 - 540 pages
...Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, See N. 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 A BCD, cut one another in the point E : the rectangle... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...remaining angle DBE is equal to the angle BCD in the alternate segment of the circle. PROP. XXXI. THEOR. If two straight lines within a circle cut one another, the rectangle contained^ the segmerds of one of them is equal to the rectangle contained by the segments of the other. Let the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...in the alternate segment of the circle. Wherefore, if a straight line, dtc. QED PROP. XXIV. 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... 
