...much of our municipal freedom was due to our kings ; much of our personal freedom to our nobles. We have throughout our history been practical disbelievers...slow and painful process with us ; but we turn and twist and rise. Our civilisation moves like the glacier, majestically, noiselessly, and very slowly...

...has required ages to solve the simple mathematical problem, or to point out the methods of its proof, that the shortest distance between two points is a straight line ; but the child without any method of instruction starts intuitively to the point it desires to reach in...

...knows that if a thing be here now, it cannot be elsewhere. He has not consciously before him the rule that the shortest distance between two points is a straight line ; but he actually takes the straight line when he has to walk from one place to another. He is not in the...

...knows that if a thing be here now, it cannot be elsewhere. He has not consciously before him the rule that the shortest distance between two points is a straight line ; but he actually takes . the straight line when he has to walk from one place to another. He is not in the...

...the sides. The puzzle was to discover the fallacy, because it is a very obvious fallacy if we admit that the shortest distance between two points is a straight line. But where does the error come in ? Well, it is perfectly true that so long as our zig-zag path is formed...

...broad sections of parks and playgrounds are carved up for highways. It may be sound engineering to say that the shortest distance between two points is a straight line. But when that line becomes the location for a highway which can 'iestroy a whole neighborhood, then it...

...who helped make this city so grand, so modern. ARISIANS ARE extremely logical in some ways; they know that the shortest distance between two points is a straight line. But they refuse to follow that path in certain situations because they find it too rough and steep, too...

...knows, the shortest dis tance between two points is a straight line. Son, let me tell you right here that the shortest distance between two points is a straight line, but the safest distance between two points is not always a straight line. An airplane or helicopter is...

...to mind Le Corbusier,s architectural promenade. Perhaps this point should be elaborated. It is true that the shortest distance between two points is a straight line, but it is not necessarily true that a straight path will always feel shorter. A boring walk will seem longer...

...such that we can only get to the straight and narrow by going along the crooked path. It may be true that the shortest distance between two points is a straight line. But that is only in geometry. In the higher calculus of life, we create complex equations that yield unpredictable...