 | Euclides - 1862 - Liczba stron: 172
...opposite angles of the parallelograms which make the Gnomon.' PROP. I.— THEOREM. If there be two straight lines, one of which is divided into any number of parts ; then the rectangle contained by the two straight lines, is equal to the rectangles contained by the... | |
 | University of Oxford - 1863 - Liczba stron: 316
...angle is equal to the squares described on the sides which contain the right angle. 11. If there be two straight lines, one of which is divided into any number...contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of the divided line. 12. Describe... | |
 | Euclides - 1864 - Liczba stron: 448
...sometimes " the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided into any number of parts, the rectangle contained...lines, is equal to, the rectangles contained by the several parts of one line and the several parts of the other respectively. The method of reasoning... | |
 | Euclides - 1864 - Liczba stron: 262
...sometimes " the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the several parts of one line and the several parts ol the other respectively. The method of reasoning... | |
 | Euclides - 1865 - Liczba stron: 402
...By what is it contained? 2. Define a gnomon. PROPOSITIONS AND COROLLARIES. Prop. 1. If there be two straight lines, one of which is divided into any number...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 - Liczba stron: 528
...sometimes " the rectangle ABC." To this proposition may be added the corollary;: If two straight lines "be divided into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the several parts of one line and the several parts of the other respectively. The method of reasoning... | |
 | Horatio Nelson Robinson - 1865 - Liczba stron: 474
...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.... | |
 | John Playfair - 1855 - Liczba stron: 350
...EHC." JJ DEC PROP. I. THEOR. I/ there be two straight lines, one of which is divided into any number ej parts ; the rectangle contained by the two straight...contained by the undivided line, and the several parts nj the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the... | |
 | Euclid, Isaac Todhunter - 1867 - Liczba stron: 426
...angles of the parallelograms which make the gnomon. AE K DE PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the tiro sir-tight lines is equal to the rectangles contained by the undleided line, and the several parts... | |
 | Robert Potts - 1868 - Liczba stron: 434
...sometimes "the rectangle ABC." To this proposition may be added the corollary : If two straight lines be divided into any number of parts, the rectangle contained...lines, is equal to the rectangles contained by the several parts of one line and the several parts of the other respectively. The method of reasoning... | |
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If there be imo 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. 
