 | Euclides - 1862 - 140 pages
...of which is dicided into any number of parts, the rectangle contained by the tiro straight lin<!,< is equal to the rectangles contained by the undivided line, and the several parts of the divided line. , (References— Prop. I. 3, 11, 31, 34.) Hypothesis. — Let A and BC be two straight lines ; and... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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...undivided line, and the several parts of the divided line. 1. Find the value of 4«+ if a = —4, b — —3. 2. Subtract (a — b)x— (b — c]y from ais+ b(x+y}... | |
 | Euclides - 1864 - 448 pages
...tico straight lines, one of irhich is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained...straight lines ; and let BC be divided into any parts BD, DE, EC, in ftfepoints D, E. Then the rectangle contained by the straight lines -flfcd BC, shall... | |
 | Euclides - 1864 - 262 pages
...straight lines, one of tchich 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 BCbe two straight lines ; and let BC be divided into any parts BD, DE, EC, in the points D, E. Then... | |
 | Euclides - 1865 - 402 pages
...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...undivided line, and the several parts of the divided line. Prop. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and... | |
 | Robert Potts - 1865 - 528 pages
...t3tto 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 farts of the divided line. Let A and JBC be two straight lines ; and let BC be divided into any parts... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points E, F, G, etc.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...rectangle contained by the tiro sti'iiighi lines is equal to the rectangles contained by the uiulieided line, and the several parts of the divided line. Let...two straight lines ; and let BC be divided into any number of parts at the points D, E : the rectangle contained by the straight lines A, BC, shall be... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...sir-tight lines is equal to the rectangles contained by the undleided line, and the several parts oflhe divided line. Let A and BC be two straight lines ; and let BC be divided into any number of parts at the points D, E : tho rectangle contained by the straight lines A, BC, shall be... | |
 | Robert Potts - 1868 - 434 pages
...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...and the several parts of the divided line, Let A and BCbe two straight lines ; and let BC be divided into any parts BD, DE, EC, in the points D, E. Then... | |
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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... 
