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which the wing is made to vibrate. This is proved by the fact that insects, in order to fly, require, as a rule, to drive their small wings with immense velocity. It is further proved by the fact that the small humming-bird, in order to keep itself stationary before a flower, requires to oscillate its tiny wings with great rapidity, whereas the large hummingbird (Patagona gigas), as was pointed out by Darwin, can attain the same object by flapping its large wings with a very slow and powerful movement. In the larger birds the movements are slowed in proportion to the size, and more especially in proportion to the length of the wing; the cranes and vultures moving the wings very leisurely, and the large oceanic birds dispensing in a great measure with the flapping of the wings, and trusting for progression and support to the wings in the expanded position.

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FIG. 122.--Elastic spiral wing, which twists and untwists during its action, to form a mobile helix or screw. This wing is made to vibrate by steam by a direct piston action, and by a slight adjustment can be propelled vertically, horizontally, or at any degree of obliquity.

a, b, Anterior margin of wing, to which the neuræ or ribs are affixed. c, d, Posterior margin of wing crossing anterior one. x, Ball-and-socket joint at root of wing; the wing being attached to the side of the cylinder by the socket. t, Cylinder. r, r, Piston, with cross heads (w, w) and piston head (s). 0, 0, Stuffing boxes. e, f, Driving chains. m, Superior elastic band, which assists in elevating the wing. n, Inferior elastic band, which antagonizes m. The alternate stretching of the superior and inferior elastic bands contributes to the continuous play of the wing, by preventing dead points at the end of the down and up strokes. The wing is free to move in a vertical and horizontal direction and at any degree of obliquity.—Original.

This leads me to conclude that very large wings may be driven with a comparatively slow motion, a matter of great importance in artificial flight secured by the flapping of wings.

How to construct an artificial Wave Wing on the Insect type. The following appear to me to be essential features in the construction of an artificial wing:

The wing should be of a generally triangular shape.

It should taper from the root towards the tip, and from the anterior margin in the direction of the posterior margin. It should be convex above and concave below, and slightly twisted upon itself.

It should be flexible and elastic throughout, and should twist and untwist during its vibration, to produce figure-of-8 curves along its margins and throughout its substance.

Such a wing is represented at fig. 122, p. 239.

If the wing is in more than one piece, joints and springs require to be added to the body of the pinion.

In making a wing in one piece on the model of the insect wing, such as that shown at fig. 122 (p. 239), I employ one or more tapering elastic reeds, which arch from above downwards (ab) for the anterior margin. To this I add tapering elastic reeds, which radiate towards the tip of the wing, and which also arch from above downwards (g, h, i). These latter are so arranged that they confer a certain amount of spirality upon the wing; the anterior (a b) and posterior (cd) margins being arranged in different planes, so that they appear to cross each other. I then add the covering of the wing, which may consist of india-rubber, silk, tracing cloth, linen, or any similar substance.

If the wing is large, I employ steel tubes, bent to the proper shape. In some cases I secure additional strength by adding to the oblique ribs or stays (ghi of fig. 122) a series of very oblique stays, and another series of cross stays, as shown at m and a, n, o, p, q of fig. 123, p. 241.

This form of wing is made to oscillate upon two centres viz. the root and anterior margin, to bring out the peculiar eccentric action of the pinion.

If I wish to produce a very delicate light wing, I do so by selecting a fine tapering elastic reed, as represented at ab of fig. 124.

To this I add successive layers (i, h, g, f, e) of some flexible material, such as parchment, buckram, tracing cloth, or even

paper. As the layers overlap each other, it follows that there are five layers at the anterior margin (a b), and only one at the posterior (ed). This form of wing is not twisted upon itself structurally, but it twists and untwists, and becomes a true screw during its action.

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FIG. 123.-Artificial Wing with Perpendicular (r s) and Horizontal (tu) Elastic Bands attached to ferrule (w).

a, b, Strong elastic reed, which tapers towards the tip of the wing.

d, e, f, h, i, j, k, Tapering curved reeds, which run obliquely from the anterior to the posterior margin of the wing, and which radiate towards the tip.

m, Similar curved reeds, which run still more obliquely.

a, n, o, p, q, Tapering curved reeds, which run from the anterior margin of the wing, and at right angles to it. These support the two sets of oblique reeds, and give additional strength to the anterior margin.

x, Ball-and-socket joint, by which the root of the wing is attached to the cylinder, as in fig. 122, p. 239.-Original.

FIG. 124. Flexible elastic wing with tapering elastic reed (a b) running along anterior margin.

c, d, Posterior margin of wing. i, Portion of wing composed of one layer of flexible material. h, Portion of wing composed of two layers. g, Portion of wing composed of three layers. f. Portion of wing composed of four layers. e, Portion of wing composed of five layers. x, Ball-and-socket joint at root of wing.-Original.

FIG. 125.-Flexible valvular wing with india-rubber springs attached to its
root.

a, b, Anterior margin of wing, tapering and elastic. c, d, Posterior margin
of wing, elastic. f, ff, Segments which open during the up stroke and
close during the down, after the manner of valves. These are very narrow,
and open and close instantly. x, Universal joint. m, Superior elastic
band. n, Ditto inferior. o, Ditto anterior.
into which the elastic bands are fixed.-Original.
p, q, Ditto oblique. r, Ring

How to construct a Wave Wing which shall evade the superimposed Air during the Up Stroke.-To construct a wing which

shall elude the air during the up stroke, it is necessary to make it valvular, as shown at fig. 125, p. 241.

This wing, as the figure indicates, is composed of numerous narrow segments (fff), so arranged that the air, when the wing is made to vibrate, opens or separates them at the beginning of the up stroke, and closes or brings them together at the beginning of the down stroke.

The time and power required for opening and closing the segments is comparatively trifling, owing to their extreme narrowness and extreme lightness. The space, moreover, through which they pass in performing their valvular action is exceedingly small. The wing under observation is flexible and elastic throughout, and resembles in its general features the other wings described.

I have also constructed a wing which is self-acting in another sense. This consists of two parts-the one part being made of an elastic reed, which tapers towards the extremity; the other of a flexible sail. To the reed, which corresponds to the anterior margin of the wing, delicate tapering reeds are fixed at right angles; the principal and subordinate reeds being arranged on the same plane. The flexible sail is attached to the under surface of the principal reed, and is stiffer at its insertion than towards its free margin. When the wing is made to ascend, the sail, because of the pressure exercised upon its upper surface by the air, assumes a very oblique position, so that the resistance experienced by it during the up stroke is very slight. When, however, the wing descends, the sail instantly flaps in an upward direction, the subordinate reeds never permitting its posterior or free margin to rise above its anterior or fixed margin. The under surface of the wing consequently descends in such a manner as to present a nearly flat surface to the earth. It experiences much resistance from the air during the down stroke, the amount of buoyancy thus furnished being very considerable. The above form of wing is more effective during the down stroke than during the up one. It, however, elevates and propels during both, the forward travel being greatest during the down stroke.

Compound Wave Wing of the Author.-In order to render

the movements of the wing as simple as possible, I was induced to devise a form of pinion, which for the sake of distinction I shall designate the Compound Wave Wing. This wing consists of two wave wings united at the roots, as represented at fig. 126. It is impelled by steam, its centre

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being fixed to the head of the piston by a compound joint (x), which enables it to move in a circle, and to rotate along its anterior margin (abcd; A, A') in the direction of its length. The circular motion is for steering purposes only. The wing rises and falls with every stroke of the piston, and the movements of the piston are quickened during the down stroke, and slowed during the up one.

During the up stroke of the piston the wing is very decidedly convex on its upper surface (abcd; A, A'), its under surface being deeply concave and inclined obliquely upwards and forwards. It thus evades the air during the up stroke. During the down stroke of the piston the wing is flattened out in every direction, and its extremities twisted in such a manner as to form two screws, as shown at a' b' c' d'; ef'g'h'; B, B' of figure. The active area of the wing is by this means augmented, the wing seizing the air with great avidity during the down stroke. The area of the wing may be still further increased and diminished during the down and up strokes by adding joints to the body of the wing.

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