 | Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. What... | |
 | Henry William Watson - 1871 - 320 σελίδες
...proved, take away AB from each, therefore BC is greater than AC~AB. PROPOSITION 2. If from the ends of a side of a triangle there be drawn two straight lines...point within the triangle, these two lines shall be together less than the two remaining sides of the triangle. From B and C the ends of the side BC of... | |
 | Euclides - 1871 - 136 σελίδες
...than double of the line joining the vertex and the point of bisection. SK 3 I ft from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle; these will be less than the other sides of the triangle, but will contain a greater angle. Let ABC be a A... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 σελίδες
...and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a side of a triangle there be drawn two straight lines to a point wilhin the triangle, these shall be less than the other two sides of the triangle, but shall contain... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...subtend, or are opposite to, the equal angles shall be equal to one another. 2. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 3. If a... | |
 | Euclides - 1874 - 120 σελίδες
...quadrilateral are together greater than its two diagonals. PROPOSITION 21. THEOREM. If from the ends of ike side of a triangle there be drawn two straight lines to a point within the triangle, these slutll be less than the other two sides of the triangle, but shall contain a greater angle. j Let ABC... | |
 | Edward Atkins - 1874 - 426 σελίδες
...greater than AB. Therefore any two sides, <fec. QED Proposition 21. — Theorem. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of t/ie triangle, but shall contain a greater angle. Let ABC... | |
 | Francis Cuthbertson - 1874 - 400 σελίδες
...former, which is impossible. Hence it follows that PROPOSITION XVII. If from the ends of one of the sides of a triangle there be drawn two straight lines to a point within the triangle: these shall be less than the other two sides of the triangle but shall contain a greater angle. '~D a -#... | |
 | Richard Wormell - 1876 - 268 σελίδες
...equal to one another. 17. Any two angles of a triangle are together less than two right angles. .. . If from the ends of one side of a triangle, there...triangle, these two lines shall be less than the other sides of the triangle, but shall contain a greater angle. . . . . 48 * It will be seen that some propositions... | |
 | Education Department,London - 1876 - 1010 σελίδες
...opposite sides of every quadrilateral rectangular figure are parallel to each other. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain an angle greater than that contained by the other two sides of the triangle. 4. Define... | |
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If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. 
