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 29by McGill University - 1910Full view - 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... | |
| 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... | |
| 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... | |
| 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/... | |
| 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... | |
| 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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