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'E lunched on the beach an' 'e returned with 'is regulation harbour-routine face about 3 P. M. Thus Lamson lost prestige for raising false alarms. The only person 'oo might 'ave connected the

**epicycloidal**gears correctly was one Pyecroft, when he was told that Mr. Vickery would go up country that same evening to take over certain naval ammunition left after the war in Bloemfontein Fort.
It is self-evident that the hypocycloid must return into itself at the point of beginning, without crossing: each branch, then, must subtend an aliquot part of the circumference, and can be traced also by another and a smaller describing circle, whose diameter therefore must be an aliquot part of the diameter of the outer pitch-circle; and since this last must be equal to the sum of the diameters of the two describing circles, it follows that the radii of the pitch circles must be to each other in the ratio of two successive integers; and this is also the ratio of the number of pins to that of the

**epicycloidal**branches.