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Updated: May 10, 2025
The conclusions of geometry are not strictly true of such lines, angles, and figures, as human hands can construct. But no one, therefore, contends that the conclusions of geometry are of no utility, or that it would be better to shut up Euclid's Elements, and content ourselves with "practice" and "experience."
Eleven miles the wrong side of the castle, Charming sat down to think it out. It was but two hours to sundown. Without his magic boots he would get to the castle too late. Of course, what he really wanted to do was to erect an isosceles triangle on a base of eleven miles, having two sides of twenty-one miles each. But this was before Euclid's time.
Slosson. "I shan't mind," said Edward Henry. "Others might." "There is such a thing as undue influence." "Miss Euclid is fifty if she's a day," replied Edward Henry. "I don't see what Miss Euclid's age has to do with the matter." "Then your eyesight must be defective, Mr. Slosson." "The document might be a forgery." "It might.
One day I happened to be near him while he was talking to the Ladies Douglas about perspective. He said, "You should study Euclid's Elements of Geometry; the foundation not only of perspective, but of astronomy and all mechanical science."
Such a man finds himself born unto trouble, as the sparks fly in all directions; but he is merely aware of undergoing a chastening process, just as the tethered calf is aware that he always turns a flying somersault when he impetuously charges in any direction away from his peg; and this simply because the man knows as much about the Order of Things as the calf knows about Euclid's definition of a radial line.
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.
Geometricians have always sought to found their science on the most logical basis possible, and thus have carefully and critically inquired into its foundations. The new geometry which has thus arisen is of two closely related yet distinct forms. One of these is called NON-EUCLIDIAN, because Euclid's axiom of parallels, which we shall presently explain, is ignored.
It was only an exceeding good poet that could have written the book of Homer, and, therefore, few men only could have attempted it; and a man capable of doing it would not have thrown away his own fame by giving it to another. In like manner, there were but few that could have composed Euclid's Elements, because none but an exceeding good geometrician could have been the author of that work.
"I say," he murmured at the door, "don't you think you ought to read that to Rose first?" "I'll read it to Rose like a bird," said Edward Henry. Within two minutes it was impossible to get from his room to the dressing-rooms in less he was knocking at Rose Euclid's door. "Who's there?" said a voice. He entered and then replied: "I am."
In short, Sir, except Euclid's Elements of Geometry, which I made a shift to unravel by my father's fire-side, in the winter evening of the first season I held the plough, I never read a book which gave me such a quantum of information, and added so much to my stock of ideas, as your Essays on the Principles of Taste.
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