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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. "
Elementary Geometry Plane (Classic Reprint) - Página xiv
por James McMahon - 2018 - 376 páginas
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 66 páginas
...straight line make equal angles with that line, or are parallel to it. THEOR. 32. If there are three parallel straight lines, and the intercepts made by...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...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 páginas
...therefore ab = cd. QED Similarly the converse propositions may be proved. THEOREM 32. If there are three parallel straight lines, and the intercepts made by...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...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 páginas
...the intercepts on any other straight line that cuts them are also equal. COR. 1. If there are three parallel straight lines, and the intercepts made by...any straight line that cuts them are equal, then the intercepts on any other straight line that cuts them are also equal. COR. 2. The straight line drawn...
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The elements of plane geometry, Volumen1

Mathematical association - 1884 - 146 páginas
...to the side FL, therefore the side BD is equal to the side FH. /. 19. QED COR. 1. If there are three parallel straight lines, and the intercepts made by...any straight line that cuts them are equal, then the intercepts on any other straight line that cuts them are also equal. COR. 2. The straight line drawn...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 páginas
...parallel, and the intercepts made by each pair on a straight line that cuts them are equal, then the intercepts on any other straight line that cuts them are also equal. Let AB, CD and EF, GH be two pairs of straight lines all of which are parallel, and let the intercepts...
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Euclid and His Modern Rivals

Lewis Carroll - 1885 - 318 páginas
...are equal, both being zero, whether the Lines are equal or not. P. 1 8, Th. 33. ' If there are three parallel straight Lines, and the intercepts made by...on any straight Line that cuts them are equal, then etc.' The subject of this Proposition is inconceivable : there are three intercepts, and by no possibility...
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - 1888 - 208 páginas
...=».FH. Hence AC : EG : : BD : FH. Def. 5. QED COR. i. If there are three parallel straight lines, the intercepts made by them on any straight line that cuts them are to one another in the same ratio as the corresponding intercepts on any other straight line that cuts...
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Examinations Papers

1891 - 644 páginas
...parallel, and the intercepts made by each pair on a straight line that cuts them are equal, then the intercepts on any 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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The Student's Handbook to the University and Colleges of Cambridge

1902 - 716 páginas
[ Lo sentimos, el contenido de esta página está restringido. ]
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 páginas
...point O ; draw a straight line (not parallel to PQ) to cut OP, OQ, OR atp, q, r ; iapr = qr.t THKOUEM 24. If there are three or more parallel straight lines,...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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