| Euclides - 1853 - 146 pages
...the parallelograms which make the gnomon." PROP. I. — THEOREM. If there be two straight lines, one of which is divided into any number of parts, the...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... | |
| William Somerville Orr - Science - 1854 - 534 pages
...L— Tn-EOBEM. If there be two straight lines (A and В С), one of which (BC) is divided into miy 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 (BD, DE, &c.) of He divided line.... | |
| Euclides - 1855 - 262 pages
...particularly in this book. E С К. i H PROPOSITION I. THEOBEM. If there be two straight lines, one of which is divided into any number of parts ; the...contained by the two straight lines, is equal to the rectangle contained by the undivided line, and the several parts of the divided line. Let A and B С... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...it ; the angle contained by these two sides is a right angle. 6. If there be two straight lines, one of which is divided into any number of parts ; the...contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. 7. To describe... | |
| Euclides - 1856 - 168 pages
...angle, wherefore CAB is also a right angle. XLVIII.— EUCLID II. 1. If there be two straight lines one of which is divided into any number of parts, the...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... | |
| Euclides - 1858 - 248 pages
...is supposed to be familiar with most of them. PROP. 1. — THEOREM. If there be two st. lines, one of which is divided into any number of parts, the rectangle contained by the two st. lines is equal to the rectangles contained by the undivided line and the several parts of the divided... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...equal to the square under the sides containing the right angle. If there be two 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... | |
| Euclides - 1858 - 136 pages
...is divided into tunj number of parts, the rectangle continued by the two st. lines is equal to tlie rectangles contained by the undivided line and the several parts of the divided line. Соя. V. 11. 3, 31, I. OEM. :UI, AT. Я. K». 1 Hjp. Concl. h...,ii n '., я. I MI ; .;. I. :» :J1.... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...parallelograms which make the gnomon." PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of parts; the...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 .BCbe... | |
| Euclides - 1860 - 288 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. Given the two straight lines A and BC, and let BC be divided into any parts in the points D, E ; to... | |
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