 | Euclides - 1841 - 378 sider
...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...undivided line, and the several parts of the divided line. Let A and BC be two straight lines; and let BC be divided into any parts in the points D, E; the rectangle... | |
 | Euclides - 1842 - 316 sider
...or ' EHC, 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...undivided line, and the several parts of the divided line. by A, BD, together with that contained by A, DE, and that contained by A, EC. From the point в draw... | |
 | John Playfair - 1842 - 332 sider
...H " gnomon 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...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the... | |
 | 1844 - 688 sider
...one anotker, and the diameter bisects them, that is, divides them 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... | |
 | Euclid - 1845 - 218 sider
...are at the opposite angles of the 'parallelograms which make the gnomon.' PROPOSITION I. THEOB. — If there be two straight lines, one of which is divided...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E; the rectangle... | |
 | Euclides - 1845 - 546 sider
...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...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E. Then... | |
 | Euclides, James Thomson - 1845 - 382 sider
...These signs will be occasionally used for brevity, in what follows." PROPOSITIONS. PROP. I. THEOR. — If there be two straight lines, one of which is divided...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... | |
 | Nathan Scholfield - 1845 - 894 sider
...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... | |
 | Euclides - 1846 - 292 sider
...EHC, which 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...undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any parts in the points D, E : the rectangle... | |
 | Euclid, John Playfair - 1846 - 334 sider
...sake of 4 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...undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the... | |
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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. 
