 | 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... | |
 | Nathan Scholfield - 1845 - 894 pages
...its base. PROPOSITION V. THEOREM. If there be two right lines, of which one is divided into parts, the sum of the rectangles contained by the undivided line and the several parts of the other, will be equal to the rectangle contained by the two whole lines. Let the lines be AB, AC, of... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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
...gnomon AGK •orEHC." D B 49 JJ ' DEC ~ — • -- ' 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 - 1846 - 292 pages
...angles of the parallelograms which make the gnomon. PROP. I. THBOB. 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... | |
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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. 
