 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) - Page xivby James McMahon - 2018 - 376 pagesLimited preview - About this book
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...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... | |
 | James Maurice Wilson - 1878 - 450 pages
...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... | |
 | Mathematical association - 1883 - 86 pages
...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... | |
 | Mathematical association - 1884 - 146 pages
...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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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... | |
 | Lewis Carroll - Geometry - 1885 - 318 pages
...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... | |
 | Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...=».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... | |
 | 1891 - 644 pages
...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... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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... | |
 | Education - 1903 - 692 pages
...parallelogram are equal, each diagonal bisects the parallelogram, and the diagonals bisect one another. If there are three or more parallel straight lines,...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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