 | Peter Nicholson - Architecture - 1823 - 210 pages
...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... | |
 | Euclides - 1833 - 304 pages
...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... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...greater than AB. A. PROPOSITION VIII. THEOREM. If from any point within a triangle, two straight lines be drawn to the extremities of either side, their sum will be less than Hie sum of the two other sides of the triangle. Let any point, as O, be taken within the triangle BAC,... | |
 | Adrien Marie Legendre - Geometry - 1838 - 382 pages
...greater than AB. A. PROPOSITION VIII. THEOREM. If from any point within a triangle, two straight lines be drawn to -the extremities of either side, their sum will be less than the sum of the two other sides of the triangle. Let any point, as O, be taken within the triangle BAC, and let the... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...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 - Conic sections - 1849 - 252 pages
...and AC less than the sum of AB and BC. Therefore, any two sides, &c. I PROPOSITION IX. THEOEEM. If, from a point within a triangle, two straight lines...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... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...third side. PROPOSITION VIII. THEOEEM. If from any point loithin a triangle, two straight lines be drawn to the extremities of either side, their .sum will be less than that of the two remaining sides of the triangle. Let 0 be any point within the triangle BA (7, and... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...the third side. PROPOSITION Vm. THEOREM. If from any point within a triangle, two straight lines be drawn to the extremities of either side, their sum will be less than that of the two remaining sides of the triangle. Let 0 be any point within the triangle BAC, and let... | |
 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...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... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...the sum of AB and BC Therefore, any two sides, &c. PROPOSITION IX. THEOREM. If, from a point withi* a triangle, two straight lines are drawn to the extremities of either side, their sum will be less han the sum of the other two sides of the triangle. Let the two straight lines BD, CD be drawn from... | |
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If, from a point 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. 
