 | G. P. West - Geometry - 1965 - 362 pages
...+ RX>ST, .'. SR + RT > ST. (constr.) Similarly (ii) TS + SR>TR and (iii) RT+TS>RS. QED THEOREM 22. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. Given. RS is a straight line and O a point outside it; ON is drawn J. to RS meeting it in N. P is any... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...perimeter of the triangle is greater than that of the quadrilateral. , THEORETICAL GEOMETRY 'I'li. 21. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest. Data AB is a straight line and O a . point outside it; ON is drawn _L to AB meeting it in N. To prove... | |
 | Mathematics - 1965 - 232 pages
...contrary to hypothesis. If (iii) holds, LB<LC. This also is contrary to hypothesis. Theorem 44. Of all straight lines that can be drawn to a given straight...point outside it, the perpendicular is the shortest. A BD PC Given. AD is the perpendicular from a given point A to a given straight line BG. AP is any... | |
 | 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... | |
 | 268 pages
...rt. / , L BED is a rt. L . 43, 3. Prove by the method of superposition that only one perpendicular can be drawn to a given straight line from a given point without it. Let ABCD be a str. line and let EBF, GCH be two str. lines drawn Jr to it, E and G being... | |
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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. 
