| University of Oxford - Education, Higher - 1863 - 328 pages
...the sides which contain the right angle. 11. 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** rectangle contained by the undivided line, and the several parts of the divided line. 12. Describe... | |
| Euclides - 1864 - 262 pages
...make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of tchich 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. Let A and BCbe two straight lines ; and... | |
| Euclides - 1864 - 448 pages
...make the gnomon." PROPOSITION I. THEOREM. If there be tico straight lines, one of irhich 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, Let A and BC be two straight lines ; and... | |
| Robert Potts - 1865 - 528 pages
...make the gnomon." PROPOSITION I. THEOREM. If tliere "be t3tto 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 farts of the divided line. Let A and JBC be two straight lines ; and... | |
| Euclides - 1865 - 402 pages
...lines is equal to three times the rectangla under either of them, and a third of the other. 3. If two **lines be divided, each into any number of parts, the rectangle contained by the two** lines is equal to the sum of the rectangles contained by the several parts of the one and the several... | |
| Robert Potts - 1868 - 434 pages
...which make the gnomon." PROPOSITION I. THEOREM. 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, Let A and BCbe two straight lines ; and... | |
| Euclides - 1871 - 136 pages
...coincides with and is .-. equal to rect. ABCD. QED 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. XL 2? Let AB and CD be two given st. lines,... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...to rect. A BCD. QFD PROPOSITION L TIIEOBEM. If there be two straight lines, (me 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. Let AB and CD be two given st. linet, and... | |
| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...accordingly be occasionally 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 - 592 pages
...complements AF, FC, is the gnomon AGK, or EHC. I. — If there be two straight linns, 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. Let A and BO be two straight lines ; of... | |
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