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These two characters of simplicity enjoyed respectively by event-particles and puncts define a meaning for Euclid's phrase, 'without parts and without magnitude. It is obviously convenient to sweep away out of our thoughts all these stray abstractive sets which are covered by event-particles without themselves being members of them. They give us nothing new in the way of intrinsic character.
Some of Euclid's axioms, which appear to common sense to be necessary, and were formerly supposed to be necessary by philosophers, are now known to derive their appearance of necessity from our mere familiarity with actual space, and not from any a priori logical foundation.
Well, gentlemen, I hear that the Romans were very fine soldiers, and Euclid's all about angles and squares, isn't it?" "Yes."
And in each vanishing form was the suggestion of unfamiliar harmonies, of a subtle, a transcendental geometric art as though each swift shaping were a symbol, a WORD Euclid's problems given volition! Geometry endowed with consciousness! It ceased.
'I will, and 'I ought' overlap and cover each other like two of Euclid's triangles; and whatsoever He commands that I spring to do; and so though the burden be heavy, considered in regard to its requirements, and though the yoke do often press, considered per se, yet because the cords that fasten the yoke to our neck are the cords of love, I can say, 'My burden is light. One of the old psalms puts it thus; 'O Lord, truly I am Thy servant; Thou hast loosed my bonds; and because Thou hast loosed, therefore O hear me; speak, Lord, for Thy servant heareth.
"After all, knowledge is knowledge; and there is no more a specifically feminine way of describing correctly the origin of the Lollard movement, or the character of Spenser's poetry, than there is a specifically feminine way of solving a quadratic equation, or of proving the forty-seventh problem of Euclid's first book."
Toplady, a celebrated methodist preacher of the last age, somewhere relates a story of a coxcomb, who told him that he had read over Euclid's Elements of Geometry one afternoon at his tea, only leaving out the A's and B's and crooked lines, which seemed to be intruded merely to retard his progress.
Marrier," Edward Henry turned on him, determined if he could to eliminate the optimism from that beaming face. "Any friend of Miss Euclid's is welcome here, but you've already talked about this theatre as 'ours, and I just want to know where you come in." "Where I come in?" Marrier smiled, absolutely unperturbed. "Miss Euclid has appointed me general manajah."
In order that he might not be entirely idle, and to give a certain colour to his way of life, Francis had purchased Euclid's Geometry in French, which he set himself to copy and translate on the top of his portmanteau and seated on the floor against the wall; for he was equally without chair or table.
And for this opinion he gives, as far as we have been able to discover, no reason whatever, except that everybody who vigorously and freely exercises his understanding on Euclid's Theorems assents to them. "The activity of private judgment," he truly observes, "and the unity and strength of conviction in mathematics vary directly as each other."
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