 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...RECTANGLES. PROPOSITION I. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...undivided line and the several parts of the divided line. a Let A and BC be two straight lines, and let BC be divided into any parts BP, PQ, QC. Then shall the... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...THEOREM. (Euc. II. 1.) Jf there be two straight lines, oiie of which is divided into any number of parts, the rectangle 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. Let... | |
 | Edward Atkins - 1876 - 130 pages
...Proposition 1. — Theorem. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...be two straight lines; and let BC be divided into any parts in the points D, E ; The rectangle contained by the straight lines A and BC A-BC= shall be... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION I. THEOREM. If there be two straight lines, one of which it divided into any number of parti; the rectangle contained by the two straight lines,...and the several parts of the divided line. Let A and BCbe two straight lines; and let PC be divided into any parts BD, DE, EC, in the points D, E. Then... | |
 | Richard Wormell - 1876 - 268 pages
...EUCLID.-BOOK II. Prop. Page i. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...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 - Geometry - 1876 - 376 pages
...PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...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 - 784 pages
...bisect the parallelogram. 2. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...undivided line, and the several parts of the divided line. What is the corresponding formula in Algebra ? 3. If a straight line be divided into two equal parts... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...PROPOSITION I. THEOREM. . If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...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... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...Section B.—Geometry. 27. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...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... | |
 | Āryabhaṭa - 1878 - 100 pages
...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... | |
| |
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. 
