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 - Side 92av Daniel Cresswell - 1819 - 410 siderUten tilgangsbegrensning - Om denne boken
| Robert Simson - 1806 - 518 sider
...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 - 1806 - 311 sider
...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
...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 - 1814
...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 - 528 sider
...' 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 - 1817 - 436 sider
...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 - 317 sider
...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 - 1825 - 372 sider
...make the gnomon.' Propoñlion. 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 - 513 sider
...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 - 1835 - 316 sider
...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.... | |
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