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hing the edge of the plate at different points when it is bowed, different notes, and hence varying forms, are obtained (fig. 3). If the figures here given are compared with those obtained from the human voice, many likenesses will be observed. For these latter, the 'voice-forms' so admirably studied and pictured by Mrs Watts Hughes,[1] bearing witness to the same fact, should be consulted, and her work on the subject should be in the hands of every student. But few perhaps have realised that the shapes pictured are due to the interplay of the vibrations that create them, and that a machine exists by means of which two or more simultaneous motions can be imparted to a pendulum, and that by attaching a fine drawing-pen to a lever connected with the pendulum its action may be exactly traced. Substitute for the swing of the pendulum the vibrations set up in the mental or astral body, and we have clearly before us the _modus operandi_ of the building of forms by vibrations.[2] [Illustration: FIG. 3. FORMS PRODUCED IN SOUND] [Footnote 1: _The Eidophone Voice Figures._ Margaret Watts Hughes.] [Footnote 2: Mr Joseph Gould, Stratford House, Nottingham, supplies the twin-elliptic pendulum by which these wonderful figures may be produced.] The following description is taken from a most interesting essay entitled _Vibration Figures_, by F. Bligh Bond, F.R.I.B.A., who has drawn a number of remarkable figures by the use of pendulums. The pendulum is suspended on knife edges of hardened steel, and is free to swing only at right angles to the knife-edge suspension. Four such pendulums may be coupled in pairs, swinging at right angles to each other, by threads connecting the shafts of each pair of pendulums with the ends of a light but rigid lath, from the centre of which run other threads; these threads carry the united movements of each pair of pendulums to a light square of wood, suspended by a spring, and bearing a pen. The pen is thus controlled by the combined movement of the four pendulums, and this movement is registered on a drawing board by the pen. There is no limit, theoretically, to the number of pendulums that can be combined in this manner. The movements are rectilinear, but two rectilinear vibrations of equal amplitude acting at right angles to each other generate a circle if they alternate precisely, an ellipse if the alternations are less regular or the amplitudes unequal. A cyclic vibration may also be obtain
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