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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... "
The Elements of Euclid: With Dissertations Intended to Assist and Encourage ... - Page 47
by Euclid, James Williamson - 1781 - 309 pages
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 394 pages
...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. Hence prove that the area of a rectangle is equal to the product...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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. into any parts in the points D, E ; the rectangle contained...
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General Report on Public Instruction in the Bengal Presidency

Education - 1851 - 626 pages
...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. Hence prove that the area of a rectangle is equal to the product...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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 A and EC be two straight lines ; and let BC be divided into...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 A and BC be two straight lines ; and let BC be divided into...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 A and BC be two straight lines ; and let BC be divided into...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...one of which (BC) is divided into miy 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 (BD, DE, &c.) of He divided line. From В draw В Г at right angles to В С,* andmakeBG=A....
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...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. 7. To describe a square that shall be equal to a given rectilineal...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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 A and BC (Fig. 38) be two straight lines whereof BC is divided...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...st. lines, one of which is divided into any number of parts, the rectangle contained by the two st. lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. CONS. — 11. I. At a point in a st. line to draw a right angle....
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