...of a science may not be a postulate in another. In Euclid's development of geometry, the statement that any two sides of a triangle are together greater than the third side is not a postulate, because it is deduced from other statements (postulates) which are avowedly...

...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...

...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...

...of a triangle are unequal, the greater side has the greater angle opposite to it : and the converse. Any two sides of a triangle are together greater than the third. Of all the straight lines that can be drawn to a given straight line from a given point outside it,...

...were hunting Uie wild beasts on horseback. GEOMETRY.— X. • 9 to 11 am, Friday, 25 June, 1915. 1. Any two sides of a triangle are together greater than the third side. 2. Two right-angled triangles which have their hypotenuses equal, and one side of the one equal...

...sines of the angles COB, AOC and AOB are found to be proportional to the weights Wl, W2 and W2. Since any two sides of a triangle are together greater than the third side, it follows that any two of three forces in equilibrium must be together not less than the third....

...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...

...too. But you see the idea ? What a mess you 've made of the bed! BOOK I., PROPOSITION 20. THEOREM. — Any two sides of a triangle are together greater than the third side. Let ABC be a triangle. 0 BC CONSTRUCTION. — You know the eleventh hole ? Well, let B be the...

...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...

...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,"...