 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.  Euclid's Elements of Geometry - Page 137edited by - 1895 - 657 pagesFull view - About this book
 | Euclides - Euclid's Elements - 1837 - 112 pages
...demonstration of the subsequent Propositions. PROPOSITION I. Theorem. If there be two straight lines, one of which is divided into any number of parts, the...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...occasionally used for brevity, " in what follows." 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 lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...H 'lelograms which 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...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
 | 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 by the two straight lines, is equal to the rectangles contained by the undieided line, and the seeeral parts of the dieided line. Let A and BC... | |
 | Euclides - Geometry - 1841 - 378 pages
...of the 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...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
..." brevity, be 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...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
 | Euclides - 1842 - 316 pages
...the " ' 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...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. by A, BD, together... | |
 | 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...'parallelograms which make the gnomon.' PROPOSITION I. THEOB. — If there be two straight lines, one of which is divided into any number of parts; the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
 | Euclides - 1845 - 546 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be imo straight lines, one of which is divided into any number of parts; the...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC... | |
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