 | Euclides - 1816 - 588 pages
...' which are at the opposite angles of the parallelograms ' which makes the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided...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... | |
 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...THE FIRST SIX BOOKS OF i .' • : BOOK II. PROP, I. (I.) IF two given straight lines be divided, each into any number of parts, the rectangle contained by the two straight lines, is equal to the rectangles contained by the several parts of the one and the several parts of the other. PROP. V. (H.)... | |
 | John Playfair - 1819 - 354 pages
...may also, ' for the sake of brevity, be ' called the gnomon AGK or ' EHC." DEC PROP. I. THEOR. . . If there be two straight lines, one of which is divided...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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...also, ' for the sake of brevity, be ' called the gnomon AGK or ' EHC." A E. K G PROP. I. THEOR. ff there be two straight lines, one of which is divided...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. • */ -i Let... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...THE ELEMENTS OF EUCLID. BOOK II. PROP. I. 1 . THEOREM. If two given straight lines be divided, each into any number of parts, the rectangle contained by the two straight lines, is equal to the rectangles contained by the several parts of the one and the several parts of the other. Let the given... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 contained... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the opposite angles of the Б Q с parallelograms which make the gnomon.' Propoñlion. 7. Theorem» If there be two straight lines, one of which is divided...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... | |
 | Euclid - 1826 - 234 pages
...angles of the parallelograms, which make the gnomon. PROPOSITION I. THEOREM. If tliere be two right lines, one of which is divided into any number of parts, the rectangle comprehended under the whole and divided line, is equal to the rectangles contained under the whole... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...EHC, which are at the opposite angles ' of the parallelograms which make the gnomon'. PROP. I. THEOR. If there be two straight lines, one of which is divided...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... | |
 | George Darley - Geometry - 1828 - 190 pages
...upon right lines, one foot, one yard, &c. &c. in length respectively. ART. 89. " If there be two right lines, one. of which is divided into any number of parts, the rectangle under the two lines is equal to the sum of the rectangles under the undivided line and the several... | |
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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. 
