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 76by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...gnomon." J PROPOSITIONS. PROPOSITION I. THEOB. 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 BC be two straight lines ; and... | |
| Euclides - 1853 - 146 pages
...which make the gnomon." PROP. 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 BC be two straight lines ; and... | |
| Euclides - Geometry - 1853 - 176 pages
...gnomon. Ъ о k PROPOSITION I. — THEOREM. If there be two straight lines, one of which is divided **into any number of parts, the rectangle contained...straight lines is equal to the rectangles contained by** tlie undivided line, and the several parts of the divided line. LET a and b С be two straight lines... | |
| 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...lines is equal to the rectangles contained by the** undivided line and the several parts (BD, DE, &c.) of He divided line. From В draw В Г at right... | |
| Euclides - 1855 - 270 pages
...BD, A and DE, and A and EС. -Wherefore, if there be two straight Hnes, &c. QED Corodary. — If two **straight lines be divided each into any number of...contained by the two straight lines is equal to the** sum of the rectangles contained by the several parts of the one and each of the several parts of the... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...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 rectangle contained...lines, is equal to the rectangles contained by the** undivided line, and the several parts of the divided line. 7. To describe a square that shall be equal... | |
| Euclides - 1856 - 168 pages
...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 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 (Fig. 38) be two straight lines... | |
| Robert Potts - Geometry, Plane - 1860 - 380 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... | |
| John Playfair - Geometry - 1860 - 334 pages
...&c. • PROP. I. THEOR. If there be two straight lines, one of which is divided into any number oj **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. Let A and BC be two straight lines ; and... | |
| Euclides - 1862 - 172 pages
...I.— THEOREM. If there be two straight lines, one of which is divided into any number of parts ; then **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. (References— Prop. i. 3, 11, 31, 34.)... | |
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