If two sides of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest. The... The Bombay University Calendar - Page 63by University of Bombay - 1918Full 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... | |
| Education - 1903 - 692 pages
...can be drawn to a given straight "* 'rom a given point outside it, the perpendicular is the "hottest. The opposite sides and angles of a parallelogram are...are equal, then the corresponding intercepts on any other straight line that cuts them are also equal. Areas. — Parallellograms on the same or equal... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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,...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... | |
| 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... | |
| University of New Zealand - 1907 - 422 pages
...each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and fine side of the one equal to one side of the other, the...are equal, then the corresponding intercepts on any other straight line that cuts them are also equal. Areas. Parallelograms on the same or equal bases... | |
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