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104 NATURE OF SEGMENTAL VIBRATION. [V. § 52. 

of the tube, which are the origins of the systems of reflected waves, occupy two of these nodes. Deducting them we arrive at this result:—
The number of nodes is one less than the number of the pulselengths (or half wavelengths), which together make up the length of the vibrating tube. 

52. We will now ascertain how the portions of the tube between consecutive modes move while the 



two systems of waves are simultaneously passing along it. Let A and B, Fig. 35, be the fixed ends, as before, and let us take five nodes at the points 1, 2, 3, 4, 5. In (1), the systems of waves coincide, ac 
