 | 1923 - 264 sider
...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,... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 202 sider
...axioms should not be increased without necessity" (TL Heath, Euclid's Elements, vol. i, p. 287). THEOREM 19. Of all the straight lines that can be drawn to...point outside it, the perpendicular is the shortest. Data AB is a straight line and O an point outside it; ON is drawn _L to AB meeting it in N. To prove... | |
 | University of Bombay - 1906 - 956 sider
...triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. B 150—6 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 Oxford - 1913 - 386 sider
...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. Areas. Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles... | |
 | Lewis Carroll, Charles Lutwidge Dodgson - 2004 - 336 sider
...to meet a given straight Line, the perpendicular is the shortest ; and of the others, those making equal angles with the perpendicular are equal ; and...perpendicular is greater than that which makes a less} This I think deserves to be interpolated. Th. 20 (p. 34) is new. ' If two Triangles have two sides... | |
 | 480 sider
...axioms should not be increased without necessity" (TL Heath, Euclid's Elements, vol. i, p. 287). THEOREM 19. Of all the straight lines that can be drawn to...point outside it, the perpendicular is the shortest. Data AB is a straight line and O an point outside it; ON is drawn x to AB meeting it in N. To prove... | |
 | 352 sider
...274 THEOREM 18. Any two sides of a triangle are together greater than the third side 275 THEOREM 21. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest .... 276 REVISION PAPERS 278 INDEX AND LIST OF DEFINITIONS . • 307 The following instruments will... | |
 | McGill University - 1910 - 92 sider
...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,... | |
 | James McMahon - 2018 - 244 sider
...the triangle which has the greater third side has the greater included angle . . . 128 THEOREM 21. Of all the straight lines that can be drawn to a given...point outside it, the perpendicular is the shortest .... 130 Miscellaneous exercises 131 PARALLELOGRAMS ......... 132 THEOREM 22. (1) The opposite angles... | |
 | G. P. West - 1965 - 362 sider
...+ 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... | |
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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. 
