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. A Supplement to the Elements of Euclid - Page 76by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| Robert Simson - Trigonometry - 1806 - 546 pages
...rallelograms which make the gnomon.' G PROP. I. THEOR. IF there be two straight lines, one of which is divided **into any number of parts ; the rectangle contained...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... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...the gnomon ' AGK, or EHC.' PROP. I. THEOR. IF there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...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... | |
| John Mason Good - 1813 - 714 pages
...complements, is called a gnomon. Prop. I. Theor. If there be two straight lines, one of which is divided **into any number of parts; the rectangle contained...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... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...parts a, b, and c, of the divided line s." QED Cor. Hence, if two given straight lines be each divided **into any number of parts, the rectangle contained by the two straight lines** will be equal to the sum of the rectangles contained by each of the parts of the one, and each of the... | |
| Euclides - 1816 - 588 pages
...' which makes the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided **into any number of parts; the rectangle contained...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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...other two sides, as diameters. DEDUCTIONS FROM THE FIRST SIX BOOKS OF i .' • : BOOK II. PROP, I. (I.) **IF two given straight lines be divided, each into...parts of the one and the several parts of the other.** PROP. V. (H.) If a straight line be divided into two unequal parts, in two different points, the rectangle... | |
| John Playfair - 1819 - 354 pages
...gnomon AGK or ' EHC." DEC PROP. I. THEOR. . . If there be two straight lines, one of which is divided **into any number of parts ; the rectangle contained...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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...make the gnomon.' Propońlion. 7. Theorem» If there be two straight lines, one of which is divided **into any number of parts ; the rectangle contained...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... | |
| Euclid - 1835 - 540 pages
...parallelograms which make the gnomon.' PROP. I. THEOR. If there be two straight lines, one of which is divided **into any number of parts ; the rectangle contained...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 ;... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...gno' mon AGK or EHC." A. E H I PROP. I. THEOR. 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** equ2l to the rectangles contained by the undivided line, and the several parts of the divided line.... | |
| |