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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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...DFH or BEG. E K Proposition 1. H Theorem. — 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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...which make the gnomon. Proposition I. Theorem. 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 let...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...how. is it said to be contained? Prove that 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 sum of the rectangles contained by the undivided line, and the several parts of the divided line. 2....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. 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 the several parts of the divided line. Let AB and CD...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...shall be in one and the same straight line. 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. 4. Parallelograms on equal bases, and between...
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Papers for teachers

1880
...parallelogram which shall bisect the parallelogram. 2. 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. What is the corresponding formula of Algebra...
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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
...termed the gnomon EHC or AGK. PROP. I. THEOREM. 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, one of...
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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
...the gnomon. g — gPROPOSITION 1. THEOREM. If there be two straight lines, one of which it 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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 pages
...be algebraically represented by a b. 2. 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. 3. If a straight line be divided into two...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...PROPOSITION I. THEOREM. If there be two straight lines, one of which it divided into any number oj 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...
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