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" If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal. "
The Elements of Plane Geometry - Page 63
by Association for the Improvement of Geometrical Teaching - 1903
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...to it. THEOR. 32. If there are three parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the intercepts on any other straight line that cuts them are equal. COR. i. The straight line drawn through the middle point of one of the sides of a triangle parallel...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...proved. THEOREM 32. If there are three parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the intercepts on any other straight line that cuts them are equal. Let the three parallel straight lines AD, BE, CF make equal intercepts on the straight line...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...equal projections on another straight line are parallel to that line, or make equal angles with it. THEOR. 34. If there are two pairs of straight lines...other straight line that cuts them are also equal. COR. 1. If there are three parallel straight lines, and the intercepts made by them on any straight...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...19. QED COR. 1. If there are three parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the intercepts...other straight line that cuts them are also equal. COR. 2. The straight line drawn through the middle point of one of the sides of a triangle parallel...
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Euclid and His Modern Rivals

Lewis Carroll - Geometry - 1885 - 318 pages
...(p. 55) is new. 'If there are three parallel straight Lines, and the intercepts made by them on any straight Line that cuts them are equal, then the intercepts on any other straight Line that cuts them are equal.' This is awkwardly worded (in fact, as it stands, its subject, as I pointed out in p. 193, is...
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Examinations Papers

1891 - 644 pages
...anser, goose —c&mmentus, LOWEE MATHEMATICS. Professor Nanson. FOR PASS AND HONOUR CANDIDATES. 1. If there are two pairs of straight lines, all of"...other straight line that cuts them are also equal. If a quadrilateral be formed by joining the middle points of the sides of a given quadrilateral, it...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal. .< \. % 152. Data The parallels AB, CD, EF are cut by the straight lines ACE, BDF, and the intercepts...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 pages
...and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal. Areas. — Parallellograms on the same or equal bases and of the same altitude are equal in area. Triangles...
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The Elements of Solid Geometry

Charles Davison - Geometry, Solid - 1905 - 140 pages
...intercepts made on any straight line by three or more parallel planes be equal, then the corresponding intercepts on any other straight line that cuts them are also equal. 2. If two straight lines, not in one plane, be cut by four parallel planes, the two segments intercepted...
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Calendar

University of Allahabad - 1907 - 528 pages
...and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal. ABBAS. Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles...
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