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" If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse.... "
General Announcement - McGill University - Page 29
by McGill University - 1910
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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
...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 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...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

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...
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The elements of plane geometry, Volume 1

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...
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Euclid and His Modern Rivals

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...
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

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...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 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...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...and BQ twelve seconds from the start. (iii) At what rate does this angle decrease ? ..• THEOREM 22. If there are three or more parallel straight lines, and the intercepts made by them on any transversal are equal, then the corresponding intercepts on any other transversal are also equal. AP/...
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Calendar

University of Allahabad - 1909 - 638 pages
...sides of the one equal to two sides of the other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles...intercepts made by them on any straight line that cuts their are equal, then the corresponding intercepts on any other straight line that cuts them are also...
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The Melbourne University Calendar

University of Melbourne - 1909 - 984 pages
...congruent. If two triangles have two angles of the one equal to two angles of the other, each to each. :ind also one side of the one equal to the corresponding...straight lines, and the intercepts made by them on nny straight line that cuts them are equal, then the corresponding intercepts on any other straight...
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