 | 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
...at the opposite angles ' of the parallelograms, which make the gnomon.' PROP. I. THEOR. If there oe two straight lines, one of which is divided into any...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
...at the opposite angles of the " ' parallelograms which make the gnomon.' PROP. I. THEOR. IF there be two straight lines, one of which is divided into any...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...may also, for the sake of " brevity, be called the gnomon AGK "orEHC." B PROP. I. THEOR. If there be two straight lines, one of which is divided into any...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... | |
 | 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
...opposite angles of the 'parallelograms which make the gnomon.' PROPOSITION I. THEOB. — If there be two straight lines, one of which is divided into any...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
...opposite angles of the parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be imo straight lines, one of which is divided into any number...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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...will be occasionally used for brevity, in what follows." PROPOSITIONS. 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...brevity, be called the gnomon AGK •orEHC." D B 49 JJ ' DEC ~ — • -- ' PROP. I. THEOR. If there be two straight lines, one of which is divided into any...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 - 1846 - 292 pages
...are at the opposite angles of the parallelograms which make the gnomon. PROP. I. THBOB. If there be two straight lines, one of which is divided into any...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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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. 
