 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
 | Mathematics - 1836 - 488 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 - 290 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... | |
 | 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 - 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... | |
 | Euclides - Geometry - 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 - 316 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 - 546 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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