| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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 - Trigonometry - 1806 - 311 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, Olinthus Gilbert Gregory - 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 - Mathematics - 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 - Geometry - 1816 - 528 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 - Geometry, Plane - 1819 - 410 pages
...the other two sides as diameters. SUPPLEMENT TO THE ELEMENTS OF EUCLID. BOOK II. PROP. I. 1. THEOREM. **If two given straight lines be divided, each into...parts of the one and the several parts of the other.** Let the given straight line AB be divided into EFB >*. I II N K LM CGD t any parts in the points E,... | |
| John Playfair - 1819 - 317 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 - 372 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, John Davidson - Mathematics - 1835 - 513 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, James Ryan - Euclid's Elements - 1835 - 316 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.... | |
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