| George Lund Dunnett - 1884
...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.** The sum of the perpendiculars let fall from any point within any equilateral figure upon its sides... | |
| Stewart W. and co - 1884
...rectangle contained by the two straight lines, is equal to the rectangles contained by the tmdivided **line, and the several parts of the divided line. Let A and BC be two straight lines** ; of which BC is divided into any parts in the points D, E. Then the rectangle contained by A and BC,... | |
| Euclides - 1884
...one of which is divided internally into any number of segments, the rectangle contained by the two **straight lines is equal to the rectangles contained by the undivided line and the several** segments of the divided line. 0 EFD O "H •B Let AB and CD be the two straight lines, and let CD be... | |
| E. J. Brooksmith - Mathematics - 1889
...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.** If A, B, C, D are points in a straight line, taken in order, prove that the rectangle AC . BD = AB... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 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...divided line. Let A and BC be two straight lines,** of which BC is divided at D, E; then rect. A. BC=A. BD, A. DE, A. EC, Draw BF ir to BC, and cut off... | |
| Euclid - Geometry - 1890 - 400 pages
...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 the divided line.** EFQ Let AB be the one line, divided in C and D ; and X the other. Draw AE so that it = X, and _L to... | |
| Rupert Deakin - Euclid's Elements - 1891 - 79 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...undivided line and the several parts of the divided line.** 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each... | |
| James Andrew Blaikie, William Thomson - Geometry - 1892
...is divided into any number of parts, the rectangle contained by the two lines is equal to the sum of **the rectangles contained by the undivided line and the several parts of the divided line.** 2. If a straight line be divided into any two parts, the square on the whole line shall be equal to... | |
| James McMahon - Geometry, Plane - 1903 - 358 pages
...at given points, the rectangle of the two given lines is equivalent to the sum of the rectangles of **the undivided line and the several parts of the divided line. Let** AB, CF be the two lines, and let CF be divided at the points D and E into the parts CD, DE, EF. GH... | |
| Henry Sinclair Hall - 1908
...Equivalents of some Algebraical Formulae. DEFINITIONS .......... 219 the two lines is equal to the sum of **the rectangles contained by the undivided line and the several parts of the divided line.** 2-20 COROLLARIES. [Euc. II. 2 and 3.] 221 THEOREM 51. [Euc. II. 4.] If a straight line is divided Internally... | |
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