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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 248
edited by - 1893 - 504 pages

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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,...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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,...

## The First Six Books: Together with the Eleventh and Twelfth

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,...

## The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

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...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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,...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...