In fig. 88 the greater impulse communicated during the down stroke

is indicated by the double dotted lines. The angle made by the wing

with the horizon (_a b_) is constantly varying, as a comparison of

_c_ with _d_, _d_ with _e_, _e_ with _f_, _f_ with _g_, _g_ with

_h_, and _h_ with _i_ will show; these letters having reference to

supposed transverse sections of the wing. This figure also shows that

the _convex_ or non-biting surface of the wing is always directed

upwards, so as to avoid unnecessary resistance on the part of the air

to the wing during its ascent; whereas the _concave_ or biting surface

is always directed downwards, so as to enable the wing to contend

successfully with gravity.

_Where the Kite formed by the Wing differs from the Boy’s Kite._--The

natural kite formed by the wing differs from the artificial kite

only in this, that the former is capable of being moved in all its

parts, and is more or less flexible and elastic, the latter being

comparatively rigid. The flexibility and elasticity of the kite formed

by the natural wing is rendered necessary by the fact that the wing

is articulated or hinged at its root; its different parts travelling

at various degrees of speed in proportion as they are removed from

the axis of rotation. Thus the tip of the wing travels through a much

greater space in a given time than a portion nearer the root. If the

wing was not flexible and elastic, it would be impossible to reverse it

at the end of the up and down strokes, so as to produce a continuous

vibration. The wing is also practically hinged along its anterior

margin, so that the posterior margin of the wing travels through a

greater space in a given time than a portion nearer the anterior

margin (fig. 80, p. 149). The compound rotation of the wing is greatly

facilitated by the wing being flexible and elastic. This causes the

pinion to twist upon its long axis during its vibration, as already

stated. The twisting is partly a vital, and partly a mechanical act;

that is, it is occasioned in part by the action of the muscles, in

part by the reaction of the air, and in part by the greater momentum

acquired by the tip and posterior margin of the wing, as compared

with the root and anterior margin; the speed acquired by the tip and

posterior margin causing them to reverse always subsequently to the

root and anterior margin, which has the effect of throwing the anterior

and posterior margins of the wing into figure-of-8 curves. It is in

this way that the posterior margin of the outer portion of the wing

is made to incline forwards at the end of the down stroke, when the

anterior margin is inclined backwards; the posterior margin of the

outer portion of the wing being made to incline backwards at the end

of the up stroke, when a corresponding portion of the anterior margin

is inclined forwards (figs. 69 and 70, _g_, _a_, p. 141; fig. 86, _j_,

_f_, p. 161).

_The Angles formed by the Wing during its Vibrations._--Not the least

interesting feature of the compound rotation of the wing--of the

varying degrees of speed attained by its different parts--and of the

twisting or plaiting of the posterior margin around the anterior,--is

the great variety of kite-like surfaces developed upon its dorsal

and ventral aspects. Thus the tip of the wing forms a kite which is

inclined upwards, forwards, and outwards, while the root forms a kite

which is inclined upwards, forwards, and inwards. The angles made by

the tip and outer portions of the wing with the horizon are less than

those made by the body or central part of the wing, and those made by

the body or central part less than those made by the root and inner

portions. The angle of inclination peculiar to any portion of the wing

increases as the speed peculiar to said portion decreases, and _vice

versâ_. The wing is consequently mechanically perfect; the angles made

by its several parts with the horizon being accurately adjusted to

the speed attained by its different portions during its travel to and

fro. From this it follows that the air set in motion by one part of the

wing is seized upon and utilized by another; the inner and anterior

portions of the wing supplying, as it were, currents for the outer and

posterior portions. This results from the wing always forcing the air

outwards and backwards. These statements admit of direct proof, and I

have frequently satisfied myself of their exactitude by experiments

made with natural and artificial wings.

In the bat and bird, the twisting of the wing upon its long axis is

more of a vital and less of a mechanical act than in the insect; the

muscles which regulate the vibration of the pinion in the former (bat

and bird), extending quite to the tip of the wing (fig. 95, p. 175;

figs. 82 and 83, p. 158).

_The Body and Wings move in opposite Curves._--I have stated that the

wing advances in a waved line, as shown at _a c e g i_ of fig. 81,

p. 157; and similar remarks are to be made of the body as indicated

at 1, 2, 3, 4, 5 of that figure. Thus, when the wing descends in the

curved line _a c_, it elevates the body in a corresponding but minor

curved line, as at 1, 2; when, on the other hand, the wing ascends in

the curved line _c e_, the body descends in a corresponding but smaller

curved line (2, 3), and so on _ad infinitum_. The undulations made by

the body are so trifling when compared with those made by the wing,

that they are apt to be overlooked. They are, however, deserving of

attention, as they exercise an important influence on the undulations

made by the wing; the body and wing swinging forward alternately, the

one rising when the other is falling, and _vice versâ_. Flight may be

regarded as the resultant of three forces:--the _muscular and elastic

force_, residing in the wing, which causes the pinion to act as a true

kite, both during the down and up strokes; the _weight of the body_,

which becomes a force the instant the trunk is lifted from the ground,

from its tendency to fall downwards and forwards; and _the recoil

obtained from the air_ by the rapid action of the wing. These three

forces may be said to be active and passive by turns.

When a bird rises from the ground it runs for a short distance,

or throws its body into the air by a sudden leap, the wings being

simultaneously elevated. When the body is fairly off the ground, the

wings are made to descend with great vigour, and by their action to

continue the upward impulse secured by the preliminary run or leap. The

body then falls in a curve downwards and forwards; the wings, partly

by the fall of the body, partly by the reaction of the air on their

under surface, and partly by the shortening of the elevator muscles

and elastic ligaments, being placed above and to some extent behind

the bird--in other words, elevated. The second down stroke is now

given, and the wings again elevated as explained, and so on in endless

succession; the body falling when the wings are being elevated, and

_vice versâ_, (fig. 81, p. 157). When a long-winged oceanic bird rises

from the sea, it uses the tips of its wings as levers for forcing the

body up; the points of the pinions suffering no injury from being

brought violently in contact with the water. A bird cannot be said to

be flying until the trunk is swinging forward in space and taking part

in the movement. The hawk, when fixed in the air over its quarry, is

simply supporting itself. To fly, in the proper acceptation of the

term, implies to support and propel. This constitutes the difference

between a bird and a balloon. The bird can elevate _and carry itself

forward_, the balloon can simply elevate itself, and must rise and fall

in a straight line in the absence of currents. When the gannet throws

itself from a cliff, the inertia of the trunk at once comes into play,

and relieves the bird from those herculean exertions required to raise

it from the water when it is once fairly settled thereon. A swallow

dropping from the eaves of a house, or a bat from a tower, afford

illustrations of the same principle. Many insects launch themselves

into space prior to flight. Some, however, do not. Thus the blow-fly

can rise from a level surface when its legs are removed. This is

accounted for by the greater amplitude and more horizontal play of the

insect’s wing as compared with that of the bat and bird, and likewise

by the remarkable reciprocating power which the insect wing possesses

when the body of the insect is not moving forwards (figs. 67, 68,

69, and 70 p. 141). When a beetle attempts to fly from the hand, it

extends its front legs and flexes the back ones, and tilts its head

and thorax upwards, so as exactly to resemble a horse in the act of

rising from the ground. This preliminary over, whirr go its wings with

immense velocity, and in an almost horizontal direction, the body being

inclined more or less vertically. The insect rises very slowly, and

often requires to make several attempts before it succeeds in launching

itself into the air. I could never detect any pressure communicated to

the hand when the insect was leaving it, from which I infer that it

does not leap into the air. The bees, I am disposed to believe, also

rise without anything in the form of a leap or spring. I have often

watched them leaving the petals of flowers, and they always appeared

to me to elevate themselves by the steady play of their wings, which

was the more necessary, as the surface from which they rose was in many

cases a yielding surface.

THE WINGS OF INSECTS, BATS, AND BIRDS.

_Elytra or Wing-cases, Membranous Wings--their shape and uses._--The

wings of insects consist either of one or two pairs. When two pairs

are present, they are divided into an anterior or upper pair, and

a posterior or under pair. In some instances the anterior pair are

greatly modified, and present a corneous condition. When so modified,

they cover the under wings when the insect is reposing, and have

from this circumstance been named elytra, from the Greek ἔλυτρον, a

sheath. The anterior wings are dense, rigid, and opaque in the beetles

(fig. 89, _r_); solid in one part and membranaceous in another in the

water-bugs (fig. 90, _r_); more or less membranous throughout in the

grasshoppers; and completely membranous in the dragon-flies (fig. 91,

_e e_, p. 172). The superior or upper wings are inclined at a certain

angle when extended, and are indirectly connected with flight in the

beetles, water-bugs, and grasshoppers. They are actively engaged in

this function in the dragon-flies and butterflies. The elytra or

anterior wings are frequently employed as _sustainers_ or _gliders_

in flight,[81] the posterior wings acting more particularly as

_elevators_ and _propellers_. In such cases the elytra are twisted upon

themselves after the manner of wings.

[81] That the elytra take part in flight is proved by this, that when

they are removed, flight is in many cases destroyed.

[Illustration: FIG. 89. FIG. 90.

FIG. 89.--The Centaur Beetle (_Augusoma centaurus_), seen

from above. Shows elytra (_r_) and membranous wings (_e_) in the

extended state. The nervures are arranged and jointed in such a

manner that the membranous wings can be folded (_e_) transversely

across the back beneath the elytra during repose. When so folded,

the anterior or thick margins of the membranous wings are directed

outwards and slightly downwards, the posterior or thin margins

inwards and slightly upwards. During extension the positions of

the margins are reversed by the wings twisting and rotating upon

their long axes, the anterior margins, as in bats and birds, being

directed upwards and forwards, and making a very decided angle with

the horizon. The wings in the beetles are insignificantly small

when compared with the area of the body. They are, moreover, finely

twisted upon themselves, and possess great power as propellers and

elevators.--_Original._

FIG. 90.--The Water-Bug (_Genus belostoma_). In this insect

the superior wings (elytra or wing covers _r_) are semi-membranous.

They are geared to the membranous or under wings (_a_) by a hook, the

two acting together in flight. When so geared the upper and under

wings are delicately curved and twisted. They moreover taper from

within outwards, and from before backwards.--_Original._]

[Illustration:

FIG. 91.--The Dragon-fly (_Petalura gigantea_). In this insect the

wings are finely curved and delicately transparent, the nervures

being most strongly developed at the roots of the wings and along

the anterior margins (_e e_, _f f_), and least so at the tips (_b

b_), and along the posterior margins (_a a_). The anterior pair (_e

e_) are analogous in every respect to the posterior (_f f_). Both

make a certain angle with the horizon, the anterior pair (_e e_),

which are principally used as elevators, making a smaller angle than

the posterior pair (_f f_), which are used as drivers. The wings of

the dragon-fly make the proper angles for flight even in repose, so

that the insect can take to wing instantly. The insect flies with

astonishing velocity.--_Original._]

The wings of insects present different degrees of opacity--those of the

moths and butterflies being non-transparent; those of the dragon-flies,

bees, and common flies presenting a delicate, filmy, gossamer-like

appearance. The wings in every case are composed of a duplicature of

the integument or investing membrane, and are strengthened in various

directions by a system of hollow, horny tubes, known to entomologists

as the neuræ or nervures. The nervures taper towards the extremity of

the wing, and are strongest towards its root and anterior margin, where

they supply the place of the arm in bats and birds. They are variously

arranged. In the beetles they pursue a somewhat longitudinal course,

and are jointed to admit of the wing being folded up transversely

beneath the elytra.[82] In the locusts the nervures diverge from a

common centre, after the manner of a fan, so that by their aid the

wing is crushed up or expanded as required; whilst in the dragon-fly,

where no folding is requisite, they form an exquisitely reticulated

structure. The nervures, it may be remarked, are strongest in the

beetles, where the body is heavy and the wing small. They decrease in

thickness as those conditions are reversed, and entirely disappear in

the minute chalcis and psilus.[83] The function of the nervures is

not ascertained; but as they contain spiral vessels which apparently

communicate with the tracheæ of the trunk, some have regarded them as

being connected with the respiratory system; whilst others have looked

upon them as the receptacles of a subtle fluid, which the insect can

introduce and withdraw at pleasure to obtain the requisite degree of

expansion and tension in the wing. Neither hypothesis is satisfactory,

as respiration and flight can be performed in their absence. They

appear to me, when present, rather to act as mechanical stays or

stretchers, in virtue of their rigidity and elasticity alone,--their

arrangement being such that they admit of the wing being folded in

various directions, if necessary, during flexion, and give it the

requisite degree of firmness during extension. They are, therefore,

in every respect analogous to the skeleton of the wing in the bat and

bird. In those wings which, during the period of repose, are folded up

beneath the elytra, the mere extension of the wing in the dead insect,

where no injection of fluid can occur, causes the nervures to fall into

position, and the membranous portions of the wing to unfurl or roll

out precisely as in the living insect, and as happens in the bat and

bird. This result is obtained by the spiral arrangement of the nervures

at the root of the wing; the anterior nervure occupying a higher

position than that further back, as in the leaves of a fan. The spiral

arrangement occurring at the root extends also to the margins, so

that wings which fold up or close, as well as those which do not, are

twisted upon themselves, and present a certain degree of convexity on

their superior or upper surface, and a corresponding concavity on their

inferior or under surface; their free edges supplying those fine curves

which act with such efficacy upon the air, in obtaining the maximum of

resistance and the minimum of displacement; or what is the same thing,

the maximum of support with the minimum of slip (figs. 92 and 93).

[82] The wings of the May-fly are folded longitudinally and

transversely, so that they are crumpled up into little squares.

[83] Kirby and Spence, vol. ii. 5th ed., p. 352.

[Illustration: FIG. 92.

FIG. 92.--Right wing of Beetle (_Goliathus micans_), dorsal

surface. This wing somewhat resembles the kestrel’s (fig. 61, p. 136)

in shape. It has an anterior thick margin, _d e f_, and a posterior

thin one, _b a c_. Strong nervures run along the anterior margin

(_d_) until they reach the joint (_e_), where the wing folds upon

itself during repose. Here the nervures split up and divaricate and

gradually become smaller and smaller until they reach the extremity

of the wing (_f_) and the posterior or thin margin (_b_); other

nervures radiate in graceful curves from the root of the wing. These

also become finer as they reach the posterior or thin margin (_c a_).

_r_, Root of the wing with its complex compound joint. The wing of

the beetle bears a certain analogy to that of the bat, the nervures

running along the anterior margin (_d_) of the wing, resembling the

humerus and forearm of the bat (fig. 94, _d_, p. 175), the joint of

the beetle’s wing (_e_) corresponding to the carpal or wrist-joint

of the bat’s wing (fig. 94, _e_), the terminal or distal nervures of

the beetle (_f b_) to the phalanges of the bat (fig. 94, _f b_). The

parts marked _f b_ may in both instances be likened to the primary

feathers of the bird, that marked _a_ to the secondary feathers,

and _c_ to the tertiary feathers. In the wings of the beetle and

bat no air can possibly escape through them during the return or up

stroke.--_Original._]

[Illustration: FIG. 93.

FIG. 93.--Right wing of the Beetle (_Goliathus micans_), as

seen from behind and from beneath. When so viewed, the anterior or

thick margin (_d f_) and the posterior or thin margin (_b x c_) are

arranged in different planes, and form a true helix or screw. Compare

with figs. 95 and 97.--_Original._]

The wings of insects can be made to oscillate within given areas

anteriorly, posteriorly, or centrally with regard to the plane of

the body; or in intermediate positions with regard to it and a

perpendicular line. The wing or wings of the one side can likewise be

made to move independently of those of the opposite side, so that the

centre of gravity, which, in insects, bats, and birds, is suspended,

is not disturbed in the endless evolutions involved in ascending,

descending, and wheeling. The centre of gravity varies in insects

according to the shape of the body, the length and shape of the limbs

and antennæ, and the position, shape, and size of the pinions. It

is corrected in some by curving the body, in others by bending or

straightening the limbs and antennæ, but principally in all by the

judicious play of the wings themselves.

The wing of the bat and bird, like that of the insect, is

concavo-convex, and more or less twisted upon itself (figs. 94, 95, 96,

and 97).

[Illustration: FIG. 94.

FIG. 94.--Right wing of the Bat (_Phyllorhina gracilis_),

dorsal surface. _d e f_, Anterior or thick margin of the wing,

supported by the bones of the arm, forearm, and hand (first and

second phalanges); _c a b_, posterior or thin margin, supported

by the remaining phalanges, by the side of the body, and by the

foot.--_Original._]

[Illustration: FIG. 95.

FIG. 95.--Right wing of the Bat (_Phyllorhina gracilis_),

as seen from behind and from beneath. When so regarded, the anterior

or thick margin (_d f_) of the wing displays different curves from

those seen on the posterior or thin margin (_b c_); the anterior and

posterior margins being arranged in different planes, as in the blade

of a screw propeller.--_Original._]

The twisting is in a great measure owing to the manner in which

the bones of the wing are twisted upon themselves, and the spiral

nature of their articular surfaces; the long axes of the joints

always intersecting each other at nearly right angles. As a result of

this disposition of the articular surfaces, the wing is shot out or

extended, and retracted or flexed in a variable plane, the bones of the

wing rotating in the direction of their length during either movement.

This secondary action, or the revolving of the component bones upon

their own axes, is of the greatest importance in the movements of the

wing, as it communicates to the hand and forearm, and consequently to

the membrane or feathers which they bear, the precise angles necessary

for flight. It, in fact, insures that the wing, and the curtain, sail,

or fringe of the wing shall be screwed into and down upon the air in

extension, and unscrewed or withdrawn from it during flexion. The wing

of the bat and bird may therefore be compared to a huge gimlet or

auger, the axis of the gimlet representing the bones of the wing; the

flanges or spiral thread of the gimlet the frenum or sail (figs. 95 and

97).

[Illustration: FIG. 96.

FIG. 96.--Right wing of the Red-legged Partridge (_Perdix

rubra_), dorsal aspect. Shows extreme example of short rounded wing;

contrast with the wing of the albatross (fig. 62, p. 137), which

furnishes an extreme example of the long ribbon-shaped wing; _d e

f_, anterior margin; _b a c_, posterior ditto, consisting of primary

(_b_), secondary (_a_), and tertiary (_c_) feathers, with their

respective coverts and subcoverts; the whole overlapping and mutually

supporting each other. This wing, like the kestrel’s (fig. 61, p.

136), was drawn from a specimen held against the light, the object

being to display the mutual relation of the feathers to each other,

and how the feathers overlap.--_Original._]

[Illustration: FIG. 97.

FIG. 97.--Right wing of Red-legged Partridge (_Perdix

rubra_), seen from behind and from beneath, as in the beetle

(fig. 93) and bat (fig. 95). The same lettering and explanation does

for all three.--_Original._]

THE WINGS OF BATS.

_The Bones of the Wing of the Bat--the spiral configuration of their

articular surfaces._--The bones of the arm and hand are especially

deserving of attention. The humerus (fig. 17, _r_, p. 36) is short

and powerful, and twisted upon itself to the extent of something less

than a quarter of a turn. As a consequence, the long axis of the

shoulder-joint is nearly at right angles to that of the elbow-joint.

Similar remarks may be made regarding the radius (the principal bone

of the forearm) (_d_), and the second and third metacarpal bones with

their phalanges (_e f_), all of which are greatly elongated, and give

strength and rigidity to the anterior or thick margin of the wing. The

articular surfaces of the bones alluded to, as well as of the other

bones of the hand, are spirally disposed with reference to each other,

the long axes of the joints intersecting at nearly right angles. The

object of this arrangement is particularly evident when the wing of

the living bat, or of one recently dead, is extended and flexed as in

flight.

Animal Locomotion; or, walking, swimming, and flying With a dissertation on aëronautics · 第 15 / 23 段