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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. "
Elements of Euclid Adapted to Modern Methods in Geometry - Page 77
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...is a rectangle, and 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...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 - 146 pages
...contained by AB and CD,' < rect. AB, CD.'] PROPOSITION I. THEOREM. If there be two straight lines, one of which is divided into any number of parts, the...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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...expressed by the letters 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...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...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...the parallelograms which make the gnomon. Proposition I. Theorem. If there be two straight lines, one of which is divided into any number of parts, the...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...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...two straight lines 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...contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. 4. Parallelograms...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...and FC, may he 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...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...
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Papers for teachers

1880 - 594 pages
...side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided into any number of parts, the...contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. What is the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...which make 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 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...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 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. 3. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...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...
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