 | 480 pages
...36 ^THEOREM 18. Any two sides of a triangle are together greater than the third side 37 THEOREM 19. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest 39 EXERCISES 39 Chapter VI. NOTE ON DEFINITIONS 42 THE PARALLELOGRAM. THEOREM 20. (i) The opposite... | |
 | University of Oxford - Universities and colleges - 1915 - 620 pages
...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...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
 | University of New Zealand - 1904 - 362 pages
...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...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
 | 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... | |
 | McGill University - 1910 - 92 pages
...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...point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram,... | |
 | University of Bombay - 1912 - 1228 pages
...of a triangle are nnequal, 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...from a given point outside it, the perpendicular is tho shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the... | |
 | 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... | |
 | University of Bombay - 1916 - 654 pages
...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 ontside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are... | |
 | University of Bombay - 1904 - 1174 pages
...triangle are unequal, the greater side has the greater »agle opposite to it ; and the converse. ji Of all the straight lines that can be drawn to a given straight lino from » given point outside it, the perpendicular is the shortest. The opposite sides and angles... | |
 | 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. 
