 | Sir Arthur Stanley Eddington - General relativity (Physics). - 1921 - 238 pages
...true geometry? Phys. Yes. Our experimental work proves it true. Rel. How, for example, do you prove that any two sides of a triangle are together greater than the third side? Phys. I can, of course, only prove it by taking a very large number of typical cases, and I am limited... | |
 | Aristotelian Society (Great Britain) - Philosophy - 1922 - 270 pages
...which pre-exist within us."$ And Professor Eddington answering the question whether it is true to say that " any two sides of a triangle are together greater than the third side," says he is quite unable to say whether this proposition is true or not. " I can deduce it," he continues,... | |
 | Aristotelian Society (Great Britain) - Philosophy - 1922 - 270 pages
...which pre-exist within us."t And Professor Eddington answering the question whether it is true to say that " any two sides of a triangle are together greater than the third side," says he is quite unable to say whether this proposition is true or not. " I can deduce it," he continues,... | |
 | Sir Arthur Stanley Eddington - Gravitation - 1923 - 242 pages
...true geometry? Phys. Yes. Our experimental work proves it true. Rel. How, for example, do you prove that any two sides of a triangle are together greater than the third side? Phys. I can, of course, only prove it by taking a very large number of typical cases, and I am limited... | |
 | Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...meet at the point D within the triangle, and if AB > AC, prove that DB > DC. 40. Prove that the sum of any two sides of a triangle are together greater than the third side. [HiNT. Given the A ABC. To prove AB + AC > BC. Proof. Prolong BA to D making AD = AC. Join D to C.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...meet at the point D within the triangle, and if AB > AC, prove that DB > DC. 40. Prove that the sum of any two sides of a triangle are together greater than the third side. [HINT. Given the A ABC. To prove AB + AC > BC. Proof. Prolong BA to D making AD = AC. Join D to C.... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...angles of a triangle are unequal, the greater angle has the greater side opposite to it 36 ^THEOREM 18. Any two sides of a triangle are together greater than the third side 37 THEOREM 19. Of all the straight lines that can be drawn to a given straight line from a given point... | |
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Any two sides of a triangle are together greater than the third side. 
