| Mathematics - 1836 - 472 pages
...two complements, is called a Gnomon. PHOP. I. 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. II. If a straight line be divided into any... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...which make the gnomon. PROPOSITION I. 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... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...subsequent Propositions. PROPOSITION I. Theorem. 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. JL LH CB Proved... | |
| Euclides - 1838 - 264 pages
...-parallelograms which make the gnomon.PROP. I. THEOR. If there be two straight lines, one of which is dieided **into any number of parts ; the rectangle contained...lines, is equal to the rectangles contained by the** undieided line, and the seeeral parts of the dieided line. Let A and BC be two straight lines; and... | |
| Robert Simson - Geometry - 1838 - 434 pages
...make the gnomon.' F D K BGC 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... | |
| Euclides - 1841 - 378 pages
...parallelograms, which make the gnomon.' PROP. I. THEOR. If there oe 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... | |
| Euclides - 1842 - 320 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. by A, BD, together with that contained by... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...called the gnomon AGK "orEHC." B 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... | |
| Education - 1844 - 688 pages
...into two equal |>orts. 6. If (here be two straight lines, one of which is divided into any number ot **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. 7. If a straight line be divided into any... | |
| Euclides - 1845 - 544 pages
...which make the gnomon." PROPOSITION I. THEOREM. If there be imo 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... | |
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