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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... "
Elements of Plane Geometry - Page 63
by Thomas Hunter - 1878 - 132 pages
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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...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...and the altitude be 6 units, the area of the triangle will be algebraically represented by £ a b. 2. If there be two straight lines, one of which is divided...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...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...which the first eight propositions of Euclid II. prove. If there be two straight lines one of which be divided into any number of parts, the rectangle contained by the two lines is equal to the rectangles contained by the undivided line and the several parts of the divided line. Geometry. Senior....
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...rectangles contained by AB and the several parts of CD. — QED SUMMARY OF PROPOSITION I., THEOREM 1. If there be two straight lines, one of which is divided...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...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...is an isosceles triangle. 7. Explain the terms rectangle, gnomon, complements of a parallelogram. 8. If there be two straight lines, one of which is divided...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...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...straight line from a given point in a side of a parallelogram which shall bisect the parallelogram. 2. If there be two straight lines, one of which is divided...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...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...from its extremity, the other two from any point in it, these two are together equal to the first. 4. If there be two straight lines, one of which is divided...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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
....: rect. EFGH coincides with and is therefore equal to rect ABCD. * ED 77 PROPOSITION I. THEOREM. // there be two straight lines, one of which is divided...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...
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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884 - 128 pages
...many cubic yards of earth are taken out in forming 30 yards of its length ? PRACTICAL GEOMETRY. 1. If there be two straight lines, one of which is divided...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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...Thus the parallelogram HG, together with the complements AF, FC, is the gnomon AGK, or EHC. I. — If there be two straight lines, one of which is divided...number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained by the tmdivided line, and the several parts of...
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