| 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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