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r Least Common Multiple: this, however, might be dispensed with. B. A piece of open ground for keeping Roots and practising their extraction: it would be advisable to keep Square Roots by themselves, as their corners are apt to damage others. C. A room for reducing Fractions to their Lowest Terms. This should be provided with a cellar for keeping the Lowest Terms when found, which might also be available to the general body of Undergraduates, for the purpose of "keeping Terms." D. A large room, which might be darkened, and fitted up with a magic lantern, for the purpose of exhibiting circulating Decimals in the act of circulation. This might also contain cupboards, fitted with glass doors, for keeping the various Scales of Notation. E. A narrow strip of ground, railed off and carefully levelled, for investigating the properties of Asymptotes, and testing practically whether Parallel Lines meet or not: for this purpose it should reach, to use the expressive language of Euclid, "ever so far." This last process of "continually producing the lines," may require centuries or more; but such a period, though long in the life of an individual, is as nothing in the life of the University. As Photography is now very much employed in recording human expressions, and might possibly be adapted to Algebraical Expressions, a small photographic room would be desirable, both for general use and for representing the various phenomena of Gravity, Disturbance of Equilibrium, Resolution, &c., which affect the features during severe mathematical operations. May I trust that you will give your immediate attention to this most important subject? Believe me, Sincerely yours, Mathematicus. Next came "The New Belfry of Christ Church, Oxford; a Monograph by D.C.L." On the title-page was a neatly drawn square--the figure of Euclid I. 46--below which was written "East view of the New Belfry, Christ Church, as seen from the meadow." The new belfry is fortunately a thing of the past, and its insolent hideousness no longer defaces Christ Church, but while it lasted it was no doubt an excellent target for Lewis Carroll's sarcasm. His article on it is divided into thirteen chapters. Three of them are perhaps worth quoting:-- Sec.1. _On the etymological significance of the new Belfry
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