 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.  Elements of Geometry - Page 45by Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 pagesFull view - About this book
 | 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... | |
 | 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
...AC; 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 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... | |
 | 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 - 1858 - 256 pages
...and AC ; and AC less than the sum of AB and BC Therefore, any two sides, &c. PROPOSIT'ON IX. THEOREM. If, from a point within a triangle, two straight lines are drawn to the extremities uf either side, their sum will be less han the sum of the other two sides of the triangle. Let the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...that the less angle is opposite to the shorter side. PROPOSITION ХП. — THEOREM. 69. If, from any point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than that of the other two sides of the triangle. Let the two straight... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...that the less angle is opposite to the shorter side. PROPOSITION XII. — THEOREM. 69. If, from any point within a triangle, two straight lines are drawn to the extremities of either side, their sum loill be less than that of the other two sides of the triangle. Let the two... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...that the less angle is opposite to the shorter side. PROPOSITION XII. — THEOREM. 69. If, from any point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than that of the other two sides of the triangle. Let the two straight... | |
 | James Fraser (bp. of Manchester.) - 1866 - 480 pages
...that if, from a 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... | |
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