 | Euclid - 1835 - 540 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 divid- Book II. ed into any parts... | |
 | Mathematics - 1836 - 488 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. II. If a straight line be divided into any two parts, the rectangles contained by the... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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 line. Let A and BC be two straight lines ; and let BC be divided * This book treats of right-angled... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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. JL LH CB Proved by' showing that A x BC * =± figures BK + DL + EH ; and that these are... | |
 | Euclides - 1840 - 82 pages
...rectangle contained by two straight lines, of which one is divided into any number of parts, is equal to the sum of the rectangles contained by the undivided line and the several parts of the divided line. PROP. II. THEOR. If a straight line be divided into any two parts, the square of the... | |
 | Euclides - 1840 - 192 pages
...=L'HB. Therefore, L'AB, or the rectangle contained by the two lines, is equal to L'AF+L'FH+L'HB, or the sum of the rectangles contained by the undivided line and the parts of the divided line. PROP. II. THEOR. If a straight line (AB) be divided into any two parts (AF,... | |
 | Euclides - Geometry - 1841 - 378 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 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... | |
 | Euclides - 1842 - 316 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. by A, BD, together with that contained by A, DE, and that contained by A, EC. From 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. Let... 
