| Albert Shaw - 1914
...obvious fact that the shortest distance from one point to another is as "the crow flies"; and stated his **proposition that any two sides of a triangle are together greater than the third.** Ask the average boy to prove this as a general theorem: he will draw a perfect figure, measure the... | |
| Stacy Aumonier - 1919 - 352 páginas
...man with a sense of form can see at a glance. I don't want a man to spend half the morning telling me **that any two sides of a triangle are together greater than the third** side. I also object to his method of proving that some quite obvious and useless proposition is wrong... | |
| Sir Arthur Stanley Eddington - 1923 - 218 páginas
...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... | |
| Walter Burton Ford, Charles Ammermann - 1923 - 232 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... | |
| Walter Burton Ford, Charles Ammerman - 1923 - 356 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... | |
| 1893
...already 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
...already 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 - 389 páginas
...Euclid 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... | |
| University of Durham - 1879
...line equal to a given straight line. How many straight lines will the construction give ? 2. Prove **that any two sides of a triangle are together greater than the third** side. Prove by a geometrical construction that the difference between any two Bides of a triangle is... | |
| |