| 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... | |
| 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 - 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 - 532 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 - 262 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 - 332 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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