 | John Playfair - Circle-squaring - 1819 - 350 pages
...be ' called the gnomon AGK or ' EHC." A E. K G PROP. I. THEOR. ff 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. • */ -i Let... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...THE ELEMENTS OF EUCLID. BOOK II. PROP. I. 1 . THEOREM. If two given straight lines be divided, each into any number of parts, the rectangle contained by the two straight lines, is equal to the rectangles contained by the several parts of the one and the several parts of the other. Let the given... | |
 | John Playfair - 1819 - 354 pages
...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. Let A and BC be two straight lines ; and let BC be divided into any parts in the points D, E ; the rectangle... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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. Let A and BC be two straight lines; and let BC be 'divided into any parts in the points D, E; the rectangle... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...parallelograms which make the gnomon.' Propoñlion. 7. 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. Let A and BC... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...(Cor. 5.). PROPOSITION IV. THEOREM. If there be two straight 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...' of 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 rectangle contained by the 1wo straight lines, is equal to the rectangles contained by the undivided line, and the several parts... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...is divided into any number of partt, the rectangle contained by the tiro lines shall be equal to tht sum of the rectangles contained by the undivided line, and the several parts of the tliridfd line. Let AB and С be two straight lines, of which AB is divided into the parts AI), DE,... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...fj. Q " called the gnomon AGK or "EEC." AE DEC PROP. I. THEOR. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained by tlte two straight lines is equal to the rectangles contained by the undivided line, and the several... | |
 | Euclid - 1835 - 540 pages
...angles of 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. • Let A and... | |
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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. 
