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" 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. Let... "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 86
by Nathan Scholfield - 1845
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...is divided 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...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 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. Let A and BC be two straight lines, of which BC is divided at D, E; then rect. A. BC=A....
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 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. 2. If a straight line be divided into any two parts, the rectangles contained by the...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...of which 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...
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Annual Report of the Commissioners ..., Volume 67

1901 - 488 pages
...of which is divided into Any numbur 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 parta of the divided line. Prove. Appendix. 5_ prOve that if a right line be divided into any two parts...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...lines, one 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. DEFO Let AB and K be the two given st. lines, and let AB be divided into any number of...
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