University of Calcutta: Journal of the Department of Science

Distance between the centres of pressure of the two planes is / the line of action of the propellor thus passes through the centre of gravity of the machine ; the direction of the thrust being along the line of flight is horizontal. [...] Hence if the period of the gust of wind coincid with the period of the small oscillations of the aeroplane it will have no effect in violently disturbing the stability-- of the system so far as the velocity a is concerned. [...] In this case we take 2 fins T and T (of total area T) one in front and other in the rear of the C. G. of the system and both above the x—axis in the ;e—y plane with the y of the C. P. equal and their joint C. P. in a line through the C. G. of the system perpendicular to the main planes. [...] Let (.e y) be the co-ordinates of the centre of mean position (or centre of pressure) of the 2 fins and M„ M. P the moments and the products of inertia of the areas of the fins with respect to axes parallel to the co-ordinate axes through (.r y) we get from Bryan since 11 in this case for the fins Z =KPU Z„=K1TUy Z„=-1C'TUx L =K1TUy L„=K".1.1.7y2 L =—K1TU iy A1 =K'U(Tx2-1-M2) and by Lanc [...] a and (r) Y1 (r) Yr.-1 =ao The successive convergents to the continued fraction (21) have the property that if the 12th convergent is expanded as a power-series in 1 the first 2n terms of this expansion will be term for term the same as the first 2n terms of the series (20) If by the above theorem the series (23) 2 G3 C" be converted into a continued fraction of the form (21) then the elem