 | Euclides - 1821 - 294 sider
...right lines drawn to any point within a triangle from the extremities of any side, are together le*t than the sum of the other two sides of the triangle, but contain a greater angle. Produce either of the lines drawn within the triangle to meet one of the sides,... | |
 | Peter Nicholson - 1823 - 210 sider
...triangle, ABC, there be drawn two straight lines, OB, OC, one to each extremity of any side, as BC, their sum is less than the sum of the other two sides of the triangle. Produce BO till it meet AC in D ; the line OC is less than the sum of the two lines OD, DC (theorem... | |
 | Francis Joseph Grund - 1830 - 274 sider
...triangle is equilateral. 10. Anyone side of a triangle is smaller than the sum of the two other sides. 11. If from a point within a triangle two lines are drawn to the two extremities of one of the sides of the triangle, the angle made by those lines is always greater... | |
 | Euclides - 1833 - 304 sider
...Two right lines drawn to any point within a triangle from the extremities of any side, are together less than the sum of the other two sides of the triangle, but contain a greater angle. Produce either of the lines drawn within the triangle to meet one of the sides,... | |
 | Francis Joseph Grund - 1834 - 212 sider
...is equilateral. 10. Any one side of a triangle is smaller than the sum of the two other sides. 11. If from a point within a triangle, two lines are drawn to the two extremities of one of the sides, the angle made by those lines is always greater than the angle... | |
 | James Bates Thomson - 1844 - 268 sider
...triangle, two straight lines be drawn to the extremities of either side, the sum of these two lines will be less than the sum of the other two sides of the triangle. PROPOSITION IX. THEOREM. If the two sides AB, AC, of the triangle ABC, are respectively equal to the... | |
 | Elias Loomis - 1849 - 252 sider
...within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle. Let the two straight lines BD, CD be drawn from D, a point within the triangle ABC, to the extremities... | |
 | Peter Nicholson - 1856 - 518 sider
...triangle, ABC, there be drawn two straight lines, OB, ОC, one to each extremity of any side, as BC, their sum is less than the sum of the other two sides of the triangle. Produce BO till it meet AC in D ; the line ОC is less than the sum of the two lines OD, DC (theorem... | |
 | James Fraser (bp. of Manchester.) - 1866 - 480 sider
...point within a triangle, two straight lines are draCT to the extremities of a sitie, their sum will be less than the sum of the other two sides of the triangle. 5. Prove that if, from a point without a straight line, a perpendicular is drawn to this line, and... | |
 | Gerardus Beekman Docharty - 1867 - 474 sider
...from a point within a triangle two lines be drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle. Let ABC be a triangle, and D any B point within it. Draw CD, DB, to the A\ extremities of the side... | |
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... less than the sum of the other two sides of the triangle. 
