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Updated: May 18, 2025
"Yes," continued the boy; "and after agreeing that Miss Theorem the mathematician was charming; Miss Quartz the geologist lovely; that Miss Affectation was very piquante, and Mrs. Youngwidow exceedingly fine-looking in her mourning; after having amicably interchanged our ideas on these topics, we came to discuss the celebrated lunar theory." "What is that?" asked Lucy.
Theorem and corollary! In the loneliness which was gathering round him, and, oddly enough, as a somewhat surprising thing, he wondered whether there were, or had been, others possessed of like thoughts, ready to welcome any such as his veritable compatriots.
A painter will ever derive much benefit from the study of all Raphael's pictures; especially from the Martyrdom of Saint Felicitas; the Transfiguration; Joseph explaining Pharaoh's Dream; and the School of Athens. Among the wonders of art with which the School of Athens abounds, we may select that of four youths attending to a sage mathematician, who is demonstrating some theorem.
The radical difference between the demonstration of a theorem of geometry and the reasoning of every-day life which the masses of men must have practised from the beginning, and which few even to-day ever get beyond, is so evident at a glance that I need not dwell upon it.
From this observation, confirmed by many others, I have deduced the following theorem: "Champagne, though at first exhilarating, ultimately produces stupefying effects;" a result, moreover, which is a well-known characteristic of the carbonic acid which it contains.
In each case we shall see, as before, how the idea of equality underlies all quantitative prevision; and in what simple forms this idea is first applied. As already shown, the first theorem established in mechanics was, that equal weights suspended from a lever with equal arms would remain in equilibrium.
As many other points as may be desired in the curve NC are found by a Theorem which Mr. Barrow has demonstrated in section 12 of his Lectiones Opticae, though for another purpose. And it is to be noted that a straight line equal in length to this curve can be given.
I find in these journals a memoir upon the general solution of algebraic equations; researches on the methods of elimination; the demonstration of a new theorem of algebra; a memoir upon the indeterminate analysis; studies on general mechanics; a technical and historical work upon the aqueduct which conveys the waters of the Nile to the Castle of Cairo; reflections upon the Oases; the plan of statistical researches to be undertaken with respect to the state of Egypt; programme of an intended exploration of the site of the ancient Memphis, and of the whole extent of burying-places; a descriptive account of the revolutions and manners of Egypt, from the time of its conquest by Selim.
It is desirable also that the figure illustrating a theorem should be drawn in all possible cases and shapes, that so the abstract relations with which geometry is concerned may of themselves emerge as the residue of similarity amid such great apparent diversity.
The man hereupon in a rage drew his sword and killed him. Others say that the Roman fell upon him at once with a sword to kill him, but he, seeing him, begged him to wait for a little while, that he might not leave his theorem imperfect, and that while he was reflecting upon it, he was slain.
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