| John Playfair - Mathematics - 1806 - 320 pages
...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 A and BC be two straight lines, and let BC be divided into any parts in the points D, E ; the rectangle... | |
| Robert Simson - Trigonometry - 1806 - 548 pages
...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.** D K H Book II. Let A and BC be two straight lines ; and let BC be divided *— Y— - ' into any parts... | |
| John Mason Good - 1813 - 714 pages
...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.** Prop. II. Theor. If a straight line be divided înto any two parts, the rectangles contained by the... | |
| Euclides - 1816 - 592 pages
...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.** BouK II. Let A and BC be two straight lines ; and let BC be di-^ " vided into any parts in the points... | |
| John Playfair - 1819 - 354 pages
...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 A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the... | |
| Peter Nicholson - Mathematics - 1825 - 1058 pages
...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 A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...divided into any number of parts; the rectangle contained by the 1wo straight lines, is equal to the **rectangles contained by the undivided line, and the several parts of the divided line.** Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E : the... | |
| John Radford Young - Euclid's Elements - 1827 - 228 pages
...PROPOSITION IV. THEOREM. If there be two straight lines of which one is divided into parts, the sum of the **rectangles contained by the- undivided line, and the several parts of the** other, will be equal to the rectangle contained by the two whole lines. Let the lines be AB, AC, of... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of the **rectangles contained by the undivided line, and the several parts of the** tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,... | |
| Mathematics - 1835 - 684 pages
...into any number of parts, the rectangle contained by the two lines shall be equal to the sum of the **rectangles contained by the undivided line, and the several parts of the divided line.** Let А В and С be two straight lines, of which AB is divided into the parts AD, DE, EB: the rectangle... | |
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