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" 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 School World: A Monthly Magazine of Educational Work and Progress - Page 223
1903
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Challenge and Thrill of Pre-College Mathematics

V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...Therefore, AB \\ CD . Similar argument shows that AD II BC and thus ABCD is a parallelogram. Q Theorem 20 If there are three or more parallel straight lines, and the intercepts made by them on a transversal are equal, then the corresponding intercepts on any other straight line that cuts them...
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...the triangles are similar 92 Proportional compasses 92 Division of straight lines in given ratio 93 If there are three or more parallel straight lines, and the intercepts made by them mi any one straight line that cuts them are equal, '• then the corresponding intercepts on any other...
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The Bombay University Calendar, Volume 2

University of Bombay - 1910 - 362 pages
...than the third side. 8 ABC is a triangle and D is the middle point of lit!. Prove that AB + AO-2AD. 4. If there are three or more parallel straight lines, and the intercepts II made by them on any straight line that cuts them are equal, then the corresponding intercepts on...
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