 | Richard Wormell - 1876 - Liczba stron: 268
...square upon a given straight line. . . . . . . . . 132 EUCLID.-BOOK II. Prop. Page i. If there be two straight lines, one of which is divided into any number...undivided line, and the several parts of the divided line. . . ,. . . . . . . . . . . 145 3. If a straight line be divided into any two parts, the rectangles... | |
 | Euclides, James Hamblin Smith - 1876 - Liczba stron: 376
...coincides with and is therefore equal to rect. ABCD. q. ED 77 PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number...undivided line and the several parts of the divided line. (f .-:/: Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must... | |
 | Henry Major - 1876 - Liczba stron: 784
...be l> units, the area of the triangle will be algebraically represented by ia b. 2. If there be two straight lines, one of which is divided into any number...undivided line and the several parts of the divided line. 3. If a straight line bo divided into two equal, and also into two unequal parts ; the squares on the... | |
 | Euclides, James Hamblin SMITH - 1876 - Liczba stron: 382
...coincides with and is therefore equal to reet. ABCD. QED PROPOSITION I. THEOREM. . If there be two straight lines, one of which is divided into any number...equal to the rectangles contained by the undivided lint and the several parts of the divided line. Let AB and CD be two given st. lines, and let CD be... | |
 | Robert Potts - 1876 - Liczba stron: 446
...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 by the two straight lines, IB equal to the rectangles contained by the several parts of one line and the severe! parts of the... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - Liczba stron: 562
...(25). + *•• — x+y + z '.'.x -y + s :x + y — z. (25). Section B.—Geometry. 27. If there be two straight lines, one of which is divided into any number...equal to the rectangles contained by the undivided lirfe and the several parts of the divided line. The sum of the perpendiculars let fall from any point... | |
 | Euclides - 1878 - Liczba stron: 398
...EFGH coincides with and is therefore equal to rect. ABCD. QED PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number...line and the several parts of the divided line. Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must rect. AB,... | |
 | Āryabhaṭa - 1878 - Liczba stron: 100
...PKOP. A, THEOREM. (E. 2. I). If there be two straight lines, one of whieh is divided in I •any two parts, the rectangle contained by the two straight...rectangles contained by the undivided line and the parts of the divided line. In the above figure, let BC and BL be two straight 'mes. Let BC be devided... | |
 | Thomas Hunter - 1878 - Liczba stron: 142
...AB is equal to the sum of the squares of AC and CB. PKOPOSITION XIV.—THEOREM. • If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two lines is equal to the sum of the rectangles contained by the undivided line and the several parts of... | |
 | W J. Dickinson - 1879 - Liczba stron: 44
...Propositions. 1. What is a rectangle, and how. is it said to be contained? Prove that if there be two straight lines, one of which is divided into any number...contained by the two straight lines is equal to. the sum of the rectangles contained by the undivided line, and the several parts of the divided line. 2.... | |
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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. 
