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Updated: June 18, 2025


The schoolboy, who knows that the master is going to dictate a fraction to him, draws a line before he knows what numerator and what denominator are to come; he therefore has present to his mind the general relation between the two terms although he does not know either of them; he knows the form without the matter.

Keshub Chunder Sen was not perhaps cast in so fine a mould as Ram Mohan Roy or the more conservative Dr. Tagore, but his ideals were the same, and his life-dream was to find a common denominator for Hinduism and Christianity which should secure a thorough reform of Hindu society without denationalizing it.

I'm getting a bit too old and stiff for it nowadays, sir just scratch about in the garden here and grow a bit of a logarithm, or raise a common denominator or two. But Mr. Euclid he use me still for them propositions, he do." From the garrulous old man I learned the melancholy end of my former acquaintances. Soon after I left town, he told me, C had been taken ill.

"The earth is the planet on which we live, and is about twenty-five thousand miles round; a decimal fraction is one whose denominator is ten, one hundred, one thousand, or and so forth; America was discovered in " "Oh, Alan, do be sensible if you can," said Jean. "We know all that stuff. What we want is to hear about these cousins of yours that are coming."

"This will seem surprising to those who are unacquainted with the increasing power of progressive numbers; but is palpably evident from the following table of a geometrical progression, in which the first term is 2, and the denominator also 2; or, to speak more intelligibly, it is evident, for that each of us has two ancestors in the first degree; the number of which is doubled at every remove, because each of our ancestors had also two ancestors of his own.

Consider the English poets who owe most to Greece Milton, Gray, Shelley, Keats, Landor, Tennyson, Matthew Arnold, Swinburne, Bridges. It would puzzle any critic to find a common denominator between these men, or to trace back to Greece any universal feature in their poetry, except perhaps perfection of form.

What is it, then, that makes these men supreme? In venturing a solution of this question, I confine myself necessarily to the English translations of the Greek and Latin authors. We have thus a common denominator of language, and need not take into account the unrivaled precision and terseness of the Greek and the force and clearness of the Latin.

These words of the most distinguished and devout of the Old Testament critics throw a flood of light on the structure not only of Isaiah, but of other Old Testament writings; they show how unlike our own were the primitive ideas of authorship; and how the Pentateuch, for example, drawn from many sources and revised by many editors, could be called the law of Moses; how his name may have been the "common denominator" of all that collection of laws.

It is not the surface whim of public opinion, it is its greatest common denominator that approximates the truth. It behooves us to remember this at a time when changes are coming with such swiftness. Our life has developed so rapidly that the old political forms proved inadequate to the solution of the new problems. As a practical people, we therefore quickly adopted or invented new forms.

"United we stand" proved to be as true of organizers and investors as it was of producers. The corporation was the common denominator of people with various industrial and financial interests. The corporation played another rôle of vital consequence. It enabled the banker to dominate the business world. Heretofore, the banker had dealt largely with exchange.

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