| Euclid - Geometry - 1838 - 416 pages
...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 let BC be divided...the rectangle contained by the straight lines A, BC** is equal to the rectangle B DEC contained by A, BD, together with that contained by A, DE, and that... | |
| Euclides - 1840
...and AB), of which one (AB) is divided into any number of parts (AF, FH, HB), is equal to the sum of **the rectangles contained by the undivided line and the several parts of the divided line.** From A draw AC perpendicular to AB, make it equal to L, and complete the parallelogram AD (that is... | |
| Euclides - 1840
...contained by two straight lines, of which one is divided into any number of parts, is equal to the sum of **the rectangles contained by the undivided line and the several parts of the divided line.** PROP. II. THEOR. If a straight line be divided into any two parts, the square of the whole line is... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...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...into any parts in the points D, E ; the rectangle** A.BC is equal to the several rectangles A.BD, A.DE, A.EC. From the point B draw (Prop. 11.1.) BF at... | |
| Euclides - 1842
...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...undivided line, and the several parts of the divided line.** by A, BD, together with that contained by A, DE, and that contained by A, EC. From the point в draw... | |
| Education - 1844
...straight lines, one of which is divided into any number ot parts, the rectangle contained by the two **straight lines is equal to the rectangles contained...undivided line and the several parts of the divided line.** 7. If a straight line be divided into any two parts, the squares of the whole line, and of one of the... | |
| Euclid - Geometry - 1845 - 199 pages
...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...the rectangle contained by the straight lines A, BC** is equal to the rectangle contained by A, BD, together with that contained by A, DE, and that contained... | |
| Euclides - 1845
...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...let BC be divided into any parts in the points D, E.** Then the rectangle contained by the straight lines A and BC, shall be equal to the rectangle contained... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...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...and BC be two straight lines ; and let BC be divided** * Thia book treats of right-angled parallelograms, and in particular of squares. t That iť. by any... | |
| Nathan Scholfield - 1845
...PROPOSITION V. THEOREM. If there be two right lines, of which one is divided into parts, the sum of **the rectangles contained by the undivided line and the several parts of the** other, will be equal to the rectangle contained by the two whole lines. Let the lines be AB, AC, of... | |
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