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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: The Errors by which Theon, Or Others, Have Long ... - Page 40
by Robert Simson - 1827 - 513 pages
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 132 pages
...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. D K Let A and BC be two straight lines, and let BC be divided into any number of parts in the points...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...two straight lines, one of whieh is divided in I •any two parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the parts of the divided line. In the above figure, let BC and BL be two straight 'mes. Let BC be devided...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...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, BC shall be equal to the rectangle contained...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 266 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...two straight lines ; and let BC be divided into any number of parts at the points D, E; the rectangle contained by the straight lines A, BC, will be equal...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 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. 2. Prove that if a straight line be divided into any two parts, the rectangles contained by the whole...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...into any number of parts, the rectangle contained by the two straight lines is equal to the rectangle contained by the undivided line, and the several parts of the divided line. Let AB and CD be two st. lines ; and let CD be divided into any parts in E, F. Then shall rect. AB, CD...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...straight lines, one of which it divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained...two straight lines ; and let BC be divided into any number of parts at the points D, E : the rectangle contained by the straight lines A, BC, shall be...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 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, one of which, BC, is divided into parts in D and E. Then it is to be proved that The rectangle contained...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...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. 4. Parallelograms on equal bases, and between the same parallels, are equal to one another. 5. If a...
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Papers for teachers

1880
...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. What is the corresponding formula of Algebra ? 3. Euc. II. 9. Algebra. — i. Simplify — + 2+^_)...
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