 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...into any number of parts, the rectangle contained by the two lines is equal to the sum of the several rectangles contained by the undivided line and the several parts of the divided line. Let AB and AD be two lines, and suppose AB divided into any number of parts at the points E, F, G-, etc.... | |
 | Euclides - 1871 - 136 pages
...equal to rect. ABCD. QED If 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. XL 2? Let AB and CD be two given st. lines, and let CD be divided into any parts in E, F. Then must... | |
 | Edinburgh univ - 1871 - 392 pages
...straight lines, one 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 one. 4. If two straight lines within a circle cut one another, the rectangle contained by the segments... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...PROPOSITION L TIIEOBEM. If there be two straight lines, (me of which is divided into any number of parts, the rectangle contained by the two straight...line and the several parts of the divided line. Let AB and CD be two given st. linet, and let CD be divided into any parts in E, F. Then must recl. AB,... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...employed. PBOPOSITION I. 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 che divided line. For... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...gnomon AGK, or EHC. I. — If there be two straight linns, one of which is divided into any number of parts; the rectangle contained by the two straight...and the several parts of the divided line. Let A and BO be two straight lines ; of which BC is divided into any parts in the points D, E. Then the rectangle... | |
 | Euclides - 1874 - 120 pages
...PROPOSITION 1. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight...straight lines ; and let ' • BC be divided into any parts at the points D, E: the rectangle contained by the straight lines A, BC, shall be equal to... | |
 | Edward Atkins - 1874 - 426 pages
...Proposition 1.— 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 and BC shall be equal... | |
 | Euclides - 1874 - 342 pages
...of which is divided into any number of parts, the rectangle contained by the two straight lines ^s equal to the rectangles contained by the undivided...be two straight lines ; and let BC be divided into any parts BD, DE, EC, in the points D, E. Then the rectangle contained by the straight lines A and... | |
 | Edward Atkins - 1874 - 428 pages
...divided into any number of parts, t/ie rectangle contained by the two straight lines is equal to t/ie rectangles contained by the undivided line, and the...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 and BC A-BC= shall be... | |
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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. 
