 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...OF i .' • : BOOK II. PROP, I. (I.) 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. PROP. V. (H.) If a straight line be divided... | |
 | John Playfair - 1819 - 354 pages
...DEC 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 straight...be two straight lines ; and let BC be divided into any parts in the points D, E ; the rectangle A.BC is equal to the several rectangles A.BD, A.DE, A.EC.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...A E. K G PROP. I. THEOR. ff there be two straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight...undivided line, and the several parts of the divided line. • */ -i Let A and BC be two straight lines ; and let BC be divided into any parts in the points D,... | |
 | John Mason Good - 1819 - 800 pages
...gnomon. Prop. I. Thpor. 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 undirided lin--, and the several parts of the divided line. , Prop. 1 1. Theor. If a straight line... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...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 straight line AB be divided... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 two straight...be two straight lines; and let BC be 'divided into any parts in the points D, E; the rectangle contained by * G the straight lines A, BC is equal to B... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Propoñlion. 7. Theorem» If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight...be two straight lines ; and let BC be divided into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to the... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...straight lines is equal to the reetangles eontained by the undivided line, and the several partsof 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 reetangle A.BC is equal to the several reetangles A.BD, A.DE, A.EC.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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...be two straight lines ; and let BC be divided into any parts in the points D, E : the rectangle contained by the straight lines A, BC shall be equal to... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...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... | |
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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. 
