Abstract
IT is dangerous to draw conclusions from half-finished investigations, and anything I may now say must be subject to confirmation or modification when I have completely disposed of the mathematical theory of stability, both longitudinal and lateral, as I hope to do in a very few months unless any further pressure of professorial duties necessitates again hanging the matter up indefinitely. But results which I have recently obtained seem rather to corroborate instead of contradicting Lanchester's equation as holding good, subject to suitable assumptions and for the types of machine to which such a formula is applicable. I may state that I have already obtained expressions for the conditions that the quick or slow small motions may be subsident or oscillatory, and for their coefficients of subsidence in the first case and their periods and moduli of decay in the second. This applies to longitudinal stability, and a similar investigation is in progress regarding lateral stability.
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