 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...into any parts in the points D, E ; the rectangle A.BC is equal to the several rectangles A.BD, A.DE, A.EC. From the point B draw (Prop. 11.1.) BF at... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
..." rectangle of AB and AD j" or by " AB . AD." PROP. XLI. THEOR. 1. 2 En. angle contained by the two straight lines, is equal to the rectangles contained...several parts of the divided line. Let A and BC be two str. lines, and let BC be divided into any parts in D and E; then A.BC=A.BD + A.DE+A.EC B DEC Draw... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
..." rectangle of AB and AD;" or by " AB . AD." PROP. XLI. THEOR. ,. 2Eu . angle contained by tlie two straight lines, is equal to the rectangles contained...several parts of the divided line, Let A and BC be two str. lines, and let BC be divided into any parts in D and E; then A.BC=A. BD + A. DE+A. EC B DEC Draw... | |
 | Euclides - 1848 - 52 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the... | |
 | Bengal council of educ - 1848 - 394 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line, and the several parts of the divided line. into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to... | |
 | Education - 1851 - 626 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The... | |
 | Euclides - 1852 - 152 pages
...straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained...and the several parts of the divided line. Let A and EC be two straight lines ; and let BC be divided into any parts in the points D, E; the rectangle contained... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained...the rectangle contained by the straight lines A, BC is equal to the rectangle contained by A, BD, together with that contained by A, DE, and that contained... | |
 | Euclides - 1853 - 146 pages
...straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines, is equal to the rectangles contained...the rectangle contained by the straight lines A, BC, is equal to the rectangle contained by A, BD, together with that contained by A, DE, and that contained... | |
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If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let... 
