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]glg,] Dr. Smith on the Terms o)beauty of the application of this method, bv Mr. Glenie, renders it highly deserving of notice; particularly as it has furnished that gentleman with expressions and forms of series, enabling him to demonstrate on the principles of the 10th Book of Euclid, the utter, impossibility of obtaining any geometrical quadrature of the circle.This demonstration, which occupies the latter and more important part of his discourse, and by which he has set the question for ever at rest, is of too intricate and speculative a nature to admit of its being in any degree elucidated on the present occasion.I shall be happy, sir, if the above illustration of what is more generally useful and practical in that valuable discourse, should enable your mathematical readers to partake in any degree of the satisfaction and enlargement of ideas which I have derived from it; or lead them to appreciate and become acquainted with the whole theory when, published; as well as the other discoveries of the same author, particularly those of his Universal Comparison and Antecederital Calculus.The difficulty attending those profound researches, when , overcome, is amply compensated by the light they throw on all mathematical subjects beyond the lirst elements.In developing relations the most complex and abstract, or exhibiting what may be termed the metaphysics of universal mathesis, they tend to give an habitual accuracy of thought and energy of method, by which to regulate every process, either demonstrative or analytical, and thereby afford what is considered Ty scholars as the chief use of mathematical study, that of invigorating the powers of intellect. 1London, W. Forbes. *March, 1812. s
Newspaper Details
Monthly Magazine
London, Middlesex, GB
Fri, May 01, 1812
Page 58
Full Page
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