 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 - Seite 76von Daniel Cresswell - 1819 - 410 SeitenVollansicht - Über dieses Buch
 | Robert Simson - 1806 - 546 Seiten
...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 - 320 Seiten
...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 Seiten
...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 - 528 Seiten
...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 Seiten
...' 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 - 454 Seiten
...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 Seiten
...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 - 1046 Seiten
...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 - 540 Seiten
...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 - 336 Seiten
...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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