 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 Bombay University Calendar - Page 62by University of Bombay - 1907Full 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...them on 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... | |
 | 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...them on 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... | |
 | 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...them on 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... | |
 | 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...them on 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... | |
 | Lewis Carroll - Geometry - 1885 - 318 pages
...their value doubtful. The second is false. (See p. 193.) Th. 32 (p. 55) is new. 'If there are three parallel straight Lines, and the intercepts made by...them on any straight Line that cuts them are equal, then the intercepts on any other straight Line that cuts them are equal.' This is awkwardly worded... | |
 | Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...=ยป.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...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. Areas.... | |
 | 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,...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. .< \. %... | |
 | 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...them on 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... | |
 | University of Calcutta - Universities and colleges - 1907 - 458 pages
...third. Of all the straight tines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest. The opposite...them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are equal. Areas. Parallelograms... | |
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