“There must be some other possibility than death or lifelong penance ... some meeting, some intersection of lines; and some cowardly, hopeful geometer in my brain tells me it is the angle at which two lines prop each other up, the leaning-together from the vertical which produces the false arch. For lack of a keystone, the false arch may be as much as one can expect in this life. Only the very lucky discover the keystone.”

“Medicine is the keystone of the arch of socialism.”

“You are kept apart that you may be separately fleeced of your earnings. You are made to hate each other because upon that hatred is rested the keystone of the arch of financial despotism which enslaves you both. You are deceived and blinded that you may not see how this race antagonism perpetuates a monetary system which beggars both.”

“But if some mind very different from ours were to look upon some property of some curved line as we do on the evenness of a straight line, he would not recognize as such the evenness of a straight line; nor would he arrange the elements of his geometry according to that very different system, and would investigate quite other relationships as I have suggested in my notes. We fashion our geometry on the properties of a straight line because that seems to us to be the simplest of all. But really all lines that are continuous and of a uniform nature are just as simple as one another. Another kind of mind which might form an equally clear mental perception of some property of any one of these curves, as we do of the congruence of a straight line, might believe these curves to be the simplest of all, and from that property of these curves build up the elements of a very different geometry, referring all other curves to that one, just as we compare them to a straight line. Indeed, these minds, if they noticed and formed an extremely clear perception of some property of, say, the parabola, would not seek, as our geometers do, to rectify the parabola, they would endeavor, if one may coin the expression, to parabolify the straight line.”

“The will is the keystone in the arch of human achievement. It is the culmination of our complex mental faculties. It is the power that rules minds, men and nations.”

“There were thousands of brown books in leather bindings, some chained to the book-shelves and others propped against each other as if they had had too much to drink and did not really trust themselves. These gave out a smell of must and solid brownness which was most secure.”