| Euclid - Geometry - 1890 - 442 pages
...and Exercises. Proposition 1. THEOREM — If there are 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** sum of the rectangles contained by the undivided line and the several parts of the divided line. EFQ... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...these two sides is a right angle. BOOK II. 1. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the** undivided line and the several parts of the divided line. 2. If a straight line be divided into any... | |
| Henry Martyn Taylor - 1893 - 486 pages
...AD, BC is equal to the rectangle AC, BD. 2. If there be two straight lines, each of which is divided **into any number of parts, the rectangle contained by the two straight lines is equal to the** sum of the rectangles contained by each of the parts of the first line and each of the parts of the... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...there be two straight lines &c. COROLLARY 1. 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** sum of the rectangles contained by the undivided line and each of the parts of the divided line. If... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...expressed arithmetically. PROPOSITION 1. THEOREM. If there are 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** sum of the rectangles contained by the undivided straight line and the several parts of the divided... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...one of which is divided into any number of parts (x, y, z say) while the other is of length a, then **the rectangle contained by the two straight lines is equal to the** sum of the rectangles contained by the undivided straight line and the several parts of the divided... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...EUCLID-S ELEMENTS. PROPOSITION 1. THEOREM. If there are 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** sum of the rectangles contained by the undivided straight line and the several parts of the divided... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...PROPOSITION i. If there be two straight lines, and one of them be cut into any number of segments whatever, **the rectangle contained by the two straight lines is equal to the rectangles contained by the** uncut straight line and each of the segments. Let A, BC be two straight lines, and let BC be cut at... | |
| David Eugene Smith - Geometry - 1911 - 360 pages
...follows : If there be two straight lines, and one of them be cut into any number of segments whatever, **the rectangle contained by the two straight lines is equal to the rectangles contained by the** uncut straight line and each of the segments. This amounts to saying that \lx=p + q + r-\ , then ax... | |
| Mathematical Association - Geometry - 1923 - 88 pages
...II. 1 : If there be two straight lines, and one of them be cut into any number of segments whatever, **the rectangle contained by the two straight lines is equal to the rectangles contained by the** uncut straight line and each of the segments. III. 15 : Of straight lines in a circle the diameter... | |
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