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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. "
A Supplement to the Elements of Euclid - Page 92
by Daniel Cresswell - 1819 - 410 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...which make the gnomon." PROPOSITION I. THEOREM. If there be imo 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...49 JJ ' DEC ~ — • -- ' PROP. I. THEOR. 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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...parallelograms which make the gnomon. PROP. I. THBOB. 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...expressed by the words " rectangle of AB and AD j" or by " AB . AD." PROP. XLI. THEOR. 1. 2 En. angle 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 str. lines, and let...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 396 pages
...straight line from one extremity of the same. 3. 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. Hence prove that the area of a rectangle...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...a gnomon. PROPOSITIONS. PROP. I. THEOREM. IP there be tvvo 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. PROP. II. THEOREM. If a straight line be...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...lines is equal to three times the rectangle under either of them and a third of the other. 4. If two lines be divided, each into any number of parts, the rectangle contained by the two lines, is equal to the sum of the rectangles contained by the several parts of the one and the several...
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General Report on Public Instruction in the Bengal Presidency

Education - 1851
...straight line from ORC extremity of the same. 3. 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. Hence prove that the area of a rectangle...
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Papers for the schoolmaster, Volume 3

1867 - 336 pages
...geometrical uses of the term " rectangle " P 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 rectangle contained by the undivided line, and tho several parts of the divided line. 2. If a straight...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...the diameter.] F,<*" BOOK IL PROP. T. THEOR. 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 EC be two straight lines ; and...
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