The Journal of the Indian Mathematical Society

Bibhutibhusan Sen ¹

Affiliations
1 Islamia College, Calcutta, IN

Abstract

It is only in a few cases, namely, in those of thin circular and elliptic plates* that the exact solutions of the equations of equlibrium can be expressed in finite number of terms. The forms of the plates bounded by inverses of ellipses, lemniscates or limacons that have been treated in this paper, are no doubt very rare but from mathematical point of view the results are interesting as they can be expressed in finite and simple terms.

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Bibhutibhusan Sen

Abstract

It is found that the quaternion analysis can be advantageously used in solving certain problems in mechanics of which the following is an example. The notation adopted is that of Gibbs so far as the vector and scalar products are concerned and the expression for the quaternion is taken from Kelland and Tail's Introduction to Quaternions: third edition, p. 37.

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