| Walter Burton Ford, Charles Ammermann - 1923 - 406 páginas
...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.... | |
| Sir Arthur Stanley Eddington - 1923 - 242 páginas
...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 Ammerman - 1923 - 408 páginas
...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 - 1926 - 202 páginas
...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... | |
| Bertrand Russell - 1927 - 444 páginas
...between B and C is zero, but that between A and C may have any time-like magnitude. Euclid proved that **two sides of a triangle are together greater than the third side,** and was criticized on the ground that this proposition was evident even to asses. But in relativity... | |
| 1893 - 562 páginas
...proved. Euclid demonstrates things more axiomatic by far. He demonstrates what every dog knows, that **any two sides of a triangle are together greater than the third.** Yet after he has finished his demonstration, that straight lines making with a transversal equal alternate... | |
| 1893 - 554 páginas
...proved. Euclid demonstrates things more axiomatic by far. He demonstrates what every dog knows, that **any two sides of a triangle are together greater than the third.** Yet after he has finished his demonstration, that straight lines making with a transversal equal alternate... | |
| Roberto Bonola - 1955 - 452 páginas
...without it. Euclid demonstrated things more axiomatic hy far. He proves what every dog knows, that **any two sides of a triangle are together greater than the third.** Yet after he has finished his demonstration, that straight lines making with a transversal equal alternate... | |
| 1914 - 422 páginas
...who are distrustful of scientific methods. They will grudgingly admit that while, as a general thing, **two sides of a triangle are together greater than the third side,** yet after all we must be careful, as it is easy to carry mathematical reasoning too far.— Journal... | |
| Saskatchewan. Department of Education - 1910 - 260 páginas
...the middle point of one side of a triangle parallel to the base is equal to half of the base. 3. (a) **Any two sides of a triangle are together greater than the third side.** I. 20. 4. (a) If two triangles have two angles of the one respectivtely equal to two angles of the... | |
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