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. A Supplement to the Elements of Euclid - Page 92by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| University of Oxford - Education, Higher - 1863
...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 - 410 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
...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 - 349 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
...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
...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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