| 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 - 472 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 - 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 - 240 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 - 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
...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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