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Updated: May 10, 2025
The mind is indeed sometimes wearied by being made to stop at every single step in the path, and wishes, with Ptolemy Soter, for a shorter road; but, upon the whole, Euclid's clearness has never been equalled. Ctesibus wrote on the theory of hydrostatics, and was the inventor of several water-engines; an application of mathematics which was much called for by the artificial irrigation of Egypt.
It might have been thought that it was impossible to establish a connection between Patmos and Skinner Street, but the first postulate of Euclid's elements holds good universally, 'that a straight line may be drawn from any one point to any other point. Ille velut fidis arcana sodalibus olim Credebat libris. HOR. Sat., II. i. 30.
Just so some men have an eye for an equation, and would read at sight the one that you puzzled over. It is told of Sir Isaac Newton that he required no demonstration of the propositions in Euclid's Geometry, but as soon as he had read the enunciation the solution or answer was plain at once.
"He says, my dear Niti," said the Professor, in a voice which had something like a note of awe in it, "that when Pythagoras thought out that problem which, of course, is not Euclid's at all he almost saw across the horizon of the world that we live in."
Hinc illae lachrymae!" ... "Not at all," said Mr. Machin in reply to a question, "I have the highest admiration for Miss Euclid's genius. I should not presume to dictate to her as to her art. She has had a very long experience of the stage, very long, and doubtless knows better than I do. Only, the Regent happens to be my theatre, and I'm responsible for it.
Mr Mill is exactly the writer to please people of this description. His arguments are stated with the utmost affectation of precision; his divisions are awfully formal; and his style is generally as dry as that of Euclid's Elements. Whether this be a merit, we must be permitted to doubt.
Imagine a scientifically-minded threadworm to inhabit a page of Euclid's solid geometry: the evidences of three-dimensionality are there, in the very diagrams underneath his eyes; but you could not show him a solid the flat page could not contain it, any more than our space can contain a form of four dimensions. You could only say to him, "These lines represent a solid."
Take the well-known drawing of two right angles In Euclid's definition, and imagine the horizontal line to be the main road to Chatford, while the perpendicular one standing on it is a by-way called Locker's lane.
Let woman consent to be a doll, and there was no finery so gorgeous, no baby-house so costly, but she might aspire to share its lavish delights; let her ask simply for an equal chance to learn, to labor, and to live, and it was as if that same doll should open its lips, and propound Euclid's forty-seventh proposition.
And the option expires in exactly a fortnight's time." Edward Henry frowned and then asked: "What are the figures?" "That is to say," Mr. Bryany corrected himself, smiling courteously, "I've got half the option." "And who's got the other half?" "Rose Euclid's got the other half." At the mention of the name of one of the most renowned star-actresses in England, Edward Henry excusably started.
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