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according action angle angular appearance arrangement assumed axes axis becomes belonging centre circle complete compute condition construct continue corresponding cross curve cutter described determined direction disappear disc distance divided draw entire epicycloid equal equation error examine extreme figure force friction give given greater half hence hour-glass curve increase intersection involute leaves less limits means measure mechanical metacentric method motion move normal obliquity obtain once orbit outline parallel pass path perpendicular pinion pitch line pitch point Plate plerotic point of contact position possible practical pragmatic present pressure rack radius ratio reach represented result satisfy shape shew shewn side suppose surfaces Table teeth tion tooth touch tracing point train turn velocity wheel whence wherefore whole zero
Página 31 - ... it slightly graze the edge of the prepared blank, and make in the ordinary way, a series of cuts all round. By turning the notch ring a little forward, bring the cutter deeper on the blank, make another series of cuts; again advance the notch ring, and continue this process until the cutter passes entirely clear of the metal, then shall we have a wheel whose teeth are truly formed to work with our assumed rack; and all wheels formed in this way will gear truly into each other. "All wheels of...
Página 33 - ... system, we might have assumed any one wheel. Thus, to give the subject a practical aspect, having obtained a pinion wire, we may require to cut out the teeth of a wheel which may be led by it. Let the assumed form of the wheel be extended into a cylindroid as in the pinion wire; let it be notched so as to form a series of cutting edges as on the bar cutter; and let it be freed in such a manner as to slide parallelly to the axis of the index wheel, while it may be turned upon its own axis by means...
Página 34 - ... blank so as to make a cut, repeat this in the usual way all around. Turn now the pinion wire on its own axis by a fraction of a tooth, and at the same time, turn the stop ring by a similar fraction of a revolution; repeat the cut all around in the usual way, and continue this until the stop ring has made a complete revolution, then is the blank toothed in such a way as to gear truly with the pinion.
Página 95 - ... it is at all times expedient to try for a simple train, and to have recourse to the travelling arm only when the other fails us.
Página 7 - A skew arch has a direct and an oblique span ; the former, or span on the square, is the perpendicular distance between the abutments, the latter, or span on the skew, is the distance between the abutments parallel to the face of the arch. The former is less than the latter in the ratio of the cosine of the angle of obliquity to unity. It is the span on the skew which is equal to that of the corresponding rectangular arch.