If two straight lines within a circle cut one another, the rectangle contained 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... Euclid's Elements of Geometry - Page 248edited by - 1893 - 504 pagesFull view - About this book
| Robert Simson - Trigonometry - 1762 - 466 pages
...the other. Let the two ftraight lines AC, BD within the circle ABCD, cut one another in the point E ; **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** If AC, BD pafs each of them thro' the center, fo that E is the center; it is evident, that AE, EC,... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...a 3.3. Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** A If AC, BD pafs each of them through the center, fo that E is the center ; it is evident, that AE,... | |
| Euclid - 1781 - 550 pages
...• 3-3Let the two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** It AC, BD pafs each of them through the centre, fo that E is the centre ; it is evident, that AE, EC,... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...the center fo that E be the center of the circle ABCD : it is manifeft, AE, EC, DE, EB being equal, **that the rectangle contained by AE, EC is equal to the rectangle contained by** DE, EB. ., But let AC, DB not pafs through the center; and let the center of the circle ABCD be taken... | |
| Robert Simson - Trigonometry - 1781 - 466 pages
...two ftraight lines AC, BD, within the circle ABCD, cut one another in the point E ; the reel-angle **contained by AE, EC is equal to the rectangle contained by BE, ED.** If AC, BD pafs each of them through , the center, fo that E is the center ; it is evident, that AE,... | |
| Robert Simson - Trigonometry - 1804
...other, Let the two ftraight lines AC, BD, within the circle A BCD, cut one another in the point E ; **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** If AC, BD pafs each of them through the center, fo that E is the center j it is evident, that AE, EC,... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...r 47. 1. Let the two straight lines AC, BD, within the circle ABCD, cut each other in the point E ; **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** If AC, BD pass through the centre, so that E is the centre, it is evident that AE, EC, BE, ED, being... | |
| Euclides - 1816 - 528 pages
...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 to the rectangle /^~ -\ contained by BE, ED.** ' A/C \D If AC, BD pass each of them through the centre, so that E is the centre ; it is evident, that... | |
| John Playfair - Euclid's Elements - 1819 - 333 pages
...ether. Let the two straight lines AC. BD, within the circle ABCt), cut one another in the point E : **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** If AC, BD pass each of them through the centre, so that E is the centre, it is evident, that AE, EC,... | |
| Euclid - 1835 - 540 pages
...other. Let the two straight lines AC, BD within the circle A BCD, cut one another in the point E : **the rectangle contained by AE, EC is equal to the rectangle contained by BE, ED.** i s' -v —* If AC, BD pass each of them through •"* ~ the centre, so that E is the centre ; it is... | |
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