CHAPTER XIV.

LIGHT.

334. =Nature of Light.=--We do not know what light is. There are

two suppositions in regard to it. One is that of Sir Isaac Newton,

called the theory of _emission_. According to this light is a

substance, but so ethereal that it has no weight, and is capable

of passing through various substances of even great density. The

other supposition is what is called the _undulatory_ theory. The

advocates of this, which is now quite generally received, believe

light to consist of undulations, waves, or vibrations in an ether

which is supposed to exist every where, pervading all space and

every substance. You perceive an analogy here to sound, the

vibrating medium in the case of sound, however, being always some

palpable substance--solid, fluid, or aeriform. Heat is supposed,

as stated in § 271, to be a vibration of the ethereal substance,

as light is, though the two vibrations must of course be somewhat

different in character. Any body that is capable of communicating

the light-vibration to this ether is said to be _luminous_.

335. =Sources of Light.=--The chief source of light to our earth

is the sun, which is a permanently luminous body. Then we have

the light of combustion in its various forms. Electricity is

another source of light. Light is sometimes emitted during decay

or putrefaction of some substances. Some animals--as fire-flies,

glow-worms, and phosphorescent animals in the sea--have the power

of emitting light.

336. =Light Moves in Straight Lines.=--Light, like heat and sound,

radiates in straight lines in all directions from its source. We

can see this to be true by admitting rays of light into a darkened

room through small openings in the shutters, the rays making

straight lines across the darkness, as may be seen by the motes

which are flying in the air. The fact is recognized by the marksman

in taking aim, and by the engineer in making his levels. The

carpenter acts upon it when he tests the smoothness of any surface

by letting the light pass along over it to his eye.

[Illustration: Fig. 223.]

[Illustration: Fig. 224.]

337. =Diffusion of Light.=--As light passes in all directions from

any body or point, the farther we go from its source the less

will the light be. If we take any two rays of light, the farther

we trace them from their source the farther are they separated

from each other, and what is true of any two rays is true of all

the rays. It follows that the farther removed any surface is from

a source of light the less light will there be upon it. This

decrease of light in proportion to distance is a perfectly regular

decrease, and it is as the square of the distance; or, in other

words, the intensity of light is inversely as the square of the

distance. Take a screen, Fig. 223, and a candle, placing a square

piece of pasteboard between them at one foot from each. The shadow

on the screen, you see, covers a space four times as large as the

pasteboard. That is, the light that shines on the pasteboard, if

allowed to pass on to the screen, would be diffused over four

times the space, and therefore would have only one-quarter of

the intensity. So if as shown in Fig. 224, the screen be placed

at twice the distance from the pasteboard that the light is, the

shadow will cover a space nine times as large as the pasteboard,

and therefore the light there would have one-ninth of the intensity

which it has where the pasteboard is. Again, it is seen by Fig.

225 that if the screen be placed at the distance of three feet the

intensity of the light is one-sixteenth of that which it is at the

pasteboard. While the distances, therefore, are as 1, 2, 3, 4,

etc., the intensity of the light is _inversely_ as the numbers 1,

4, 9, 16, etc., that is _inversely as the squares of the distance_.

[Illustration: Fig. 225.]

338. =Velocity of Light.=--The velocity of light is so great

that within any ordinary distances it may be considered as

instantaneous. Thus when we measure the distance of a cannon by the

difference between the time of its flash and the report, we do not

reckon the light to consume any time in its passage to the eye. But

when we come to look at objects as distant as the sun and other

heavenly bodies, we reckon in our calculations the time of the

passage of light. It takes light eight minutes to travel from the

sun to us, a distance of ninety-five millions of miles. With the

telescope stars have been seen which have been ascertained to be

at such a distance that it requires over ten years for their light

to come to the earth. Others have been seen which are much farther

off, but their distances have not been absolutely ascertained.

Some have been seen supposed to be at such a distance that the

light coming from them to the eye of the astronomer was a hundred

thousand years in its passage.

[Illustration: Fig. 226.]

339. =Roemer's Observations.=--The velocity of light was first

determined by Roemer, a Danish astronomer, in 1676. It was done

in his calculations and observations of the eclipse of one of

Jupiter's moons. After making the calculation of the time it would

take for the satellite to pass through the shadow of the planet,

he observed its passage, and found that it did not come out from

the shadow as soon as his calculation required by fifteen seconds.

What was the difficulty? If the earth had remained in one spot

from the beginning to the end of the passage of the satellite,

the observation would have come out exactly according to the

calculation. But the earth had moved during this time (about

forty-two hours and a half) the immense distance of 2,880,000

miles. The light of the emerging satellite therefore had to travel

over this additional distance to overtake the earth, and it took

fifteen seconds to do it. If we divide, then, this distance by

15 we get the distance which light travels in a second, which is

192,000 miles. All this can be made clear by the diagram, Fig.

226. Let S be the sun, J Jupiter, and C one of its moons emerging

from its shadow. Let A be the earth as it is when the eclipse of

Jupiter's moon begins. When it emerges the earth has passed to B,

and the light from the satellite has to travel as much farther

to reach it now as B C is longer than A C. Roemer made other

observations with the earth at some other parts of her orbit with

the same result.

[Illustration: Fig. 227.]

340. =Reflection of Light.=--Light, like sound and heat, is

reflected in straight lines when it strikes upon any resisting

substance. We can see this to be the case when it strikes upon

any smooth and plane surface. And it is true of light, as it is

of heat, that the angles of incidence and reflection are equal.

Thus if _c_, Fig. 227, be a reflecting surface, and _b c_ a line

perpendicular to it, then a ray of light, _d c_, will be reflected

in the line _c a_, and the angle of incidence, _d c b_, will be

equal to the angle of reflection, _b c a_.

341. =How we See.=--We see the various objects around us by the

light which is reflected from them. Every point of every surface

that we see reflects rays or vibrations of light to our eyes. Thus

if we see a person there are rays of light reflected into our eyes

from every part of him. These rays form an image of him in the back

part of each eye, and it is by this image that we see him, as will

be explained in full in another part of this chapter. Reflected

light is painting the images of objects in the eye every moment

in great abundance and variety. If a speaker have an audience of

a thousand persons all looking at him, his image is at the same

time in two thousand eyes, and in each of these two thousand images

every motion and every changing expression are faithfully depicted.

[Illustration: Fig. 228.]

342. =Mirrors.=--That reflected light does thus form images of

objects you see in the common mirror. The image formed in it of

any object comes from the light reflected from that object into

the glass. Then in seeing the image light is reflected from it

into the eye, there to form a similar image, though of much less

size. By using two or more mirrors the reflections of the image can

be multiplied, and by some arrangements of them to a very great

extent. That the image appears to be at the same distance beyond

the surface that the object is before it, is owing to the fact that

the reflected rays come from the glass at the same angle that the

incident rays strike upon it. This may be shown from Fig. 228 (p.

263). Suppose _m m'_ is a looking-glass, and an arrow, A B, is

before it. Rays of light come from it at all points to the glass.

We will take only two of these rays at each end of the arrow. The

ray A _g_ will be reflected to the eye at the same angle in the

ray _g o_, and the ray A _f_ will be reflected in the ray _f_ E.

And the reflected rays will have the same rate of divergence as

the incident rays. The same can be shown in regard to rays from B

or any other point on the arrow. Now if the lines _o g_ and E _f_

be extended, they will meet at the point _a_, which is at the same

distance behind the mirror as A is before it. The same thing can be

shown of the rays from B or any other point. Therefore the image of

the arrow will appear to the eye to have the same relative position

behind the glass that the arrow itself has before it.

[Illustration: Fig. 229.]

343. =The Kaleidoscope.=--I have already noticed the multiplication

of the images of objects by using two or more mirrors. In the

kaleidoscope, by a particular arrangement of mirrors, the images

are multiplied, and by changes in the position of the objects the

relative positions of the images are infinitely varied. Fig. 229

will serve to explain the operation of the instrument. Let A B and

B C be two plane mirrors placed at right angles to each other,

and _a_ an object before them. Let I be the position of the eye

looking at the mirrors. The rays _a f_ and _a g_ will be reflected

to I as represented, and the eye will see two images, which appear

to be at _b_ and E. But the ray _a_ K will be reflected to _c_,

and then to I, so that a third image will be seen at _d_. Here is

but a single second reflection, or reflection of an image; but by

placing the mirrors at an angle of 60°, 45°, and 30° the images may

be increased to six, eight, and ten, having a circular arrangement.

In the kaleidoscope two mirrors are placed in a tube at an angle

of 30°, and variously-colored pieces of glass in the farther end

of the instrument, changing their relative position with every

movement of it, give an endless variety of images symmetrically

arranged.

[Illustration: Fig. 230.]

[Illustration: Fig. 231.]

344. =Curved Mirrors.=--These may be concave or convex. The action

of a concave mirror upon light may be illustrated by Fig. 230. If

parallel rays, as represented, strike upon the mirror they will,

in their reflection, be made to _converge_, or come together, at

the focus, _a_. But suppose the light comes from this focus, the

rays of course _diverging_, or going away from each other; then

the rays, as reflected, will be parallel. If the light or object

be nearer to the mirror than the focus, and the rays of course be

more diverging, then the effect of the mirror will be to lessen the

divergence when the rays are reflected. You see that the tendency

is to make the rays converge. And hence concave reflectors are much

used when it is desired to throw a great amount of light in one

direction. The effect of the concave mirror upon the apparent size

and position of objects placed before it varies with the relation

of their position to the focus. The action of a convex mirror upon

light is the opposite of that of the concave. Its tendency is to

make the rays diverge. Thus (Fig, 231), if parallel rays strike

upon a convex mirror they diverge, as if they came from a focus

behind the mirror, as _b_, as indicated by the dotted lines.

[Illustration: Fig. 232.]

[Illustration: Fig. 233.]

345. =Refraction of Light.=--When light passes from one medium into

another it is bent from its course. This may be illustrated by Fig.

232, in which A B C D is a box, into which a candle, E, is shining.

The candle is so placed that the shadow of the side A C falls at D.

But let the box be filled with water, and now the shadow is removed

to _d_, as if the candle were at _e_. This is because the rays of

light from the candle, in passing from the air into the water, are

bent or refracted so as to take a different direction. Here we have

light passing from a rarer into a denser medium. Let us see now how

it is when light passes from a denser medium into a rarer. This can

be illustrated on Fig. 233. Let the vessel, A B C D, be empty, and

let a coin be placed at O. Let the eye, E, be in such a position

that a straight line, O G E, from the coin to the eye would strike

the side of the vessel a little below the edge, or, in other words,

that the edge of the vessel would prevent the eye from seeing

it. If now, keeping the eye in this position, water be poured in

up to a certain level, say F G, the coin comes into view. This

is because light coming from the coin to L is bent into another

direction, L E, and the coin therefore appears to the eye to be

at K. In this case the refraction is _from_ the perpendicular, P

Q, let down through the point L, where the light emerges from the

denser into the rarer medium. But When light passes from a rarer

into a denser medium the refraction is reversed--it is _toward_ the

perpendicular. It is from this refraction of light that a stick

partly immersed in water appears to the eye to be broken just at

the surface of the water.

[Illustration: Fig. 234.]

346. =Dawn and Twilight.=--The light of the sun, in passing from

space into our atmosphere, is refracted. If it were not we should

have no daylight preceding the rise of the sun, or twilight after

its setting; but light would burst upon the darkness of night

at once when the sun appeared above the horizon, and darkness

would suddenly succeed to the light of day at sunset. As it is,

in the morning the light bends toward us as it strikes across

the atmosphere long before we see the sun, and after the sun has

disappeared from view at evening its light bends toward us in the

same manner. And farther, we really see the sun in the morning

before it gets above the horizon, and in the evening after it has

gone below it. This may be made clear by Fig. 234. Let the central

ball represent the earth. Now as the atmosphere is most dense

near the earth, and is rarer as you go outward from the earth, it

is represented in the figure as having different layers in order

that the operation of the refraction may be more clear to you. The

outermost layer is exceedingly rare, and each layer is more dense

than the previous one as you go in toward the earth. The light

coming from the sun, S, below the horizon into the first layer of

air, instead of passing on straight to _a_, as indicated by the

dotted line, bends toward the earth. Then in entering the second

layer, instead of passing on to _b_, it will be bent or refracted

still more, as this layer is denser; and so on through all the

layers, being refracted in each more than in the previous one. The

result is, that as every object is seen in the direction in which

the rays from it at length reach the eye, the sun, though really

below the horizon, appears to be above it, as represented. The path

of light from the sun, as it passes through the air, is a curved

line. This is because the air, instead of being of uniform density,

lessens in density as we go from the earth. If it were of uniform

density the light would be refracted in straight lines, as in the

experiments in § 345.

347. =Mirages.=--Sometimes inequalities occur in the density

of the lower portions of the atmosphere, causing, of course,

unequal refraction, and producing some strange appearances, termed

_mirages_. For example, at Ramsgate, on the coast of England,

there was seen, at one time, as represented in Fig. 235 (p. 268),

a ship at such a distance that only her topsails were visible;

and above in the air there were two complete images of the ship,

the uppermost being erect and the under one inverted. Captain

Scoresby, in a voyage to Greenland, saw an inverted image of a

ship so well defined that he decided that it was the image of his

father's ship, the _Fame_, which was afterward verified. The ship

itself was at that time at a distance of 30 miles. An incident

in the early history of the author's place of residence may be

cited as an example of mirage. A ship left for England freighted

with a valuable cargo, and having on board a large number of the

best citizens of the colony. Some time after there was immense

excitement in New Haven, because the inhabitants saw, with great

distinctness, what they supposed to be this vessel, at only a

little distance, apparently sailing against the wind. But it soon

disappeared from view, part after part, until the whole was gone.

The ship itself was never heard from, and it was supposed at the

time that this appearance was a manifestation of Providence for

the purpose of informing the colonists what had become of their

friends. But what was seen was undoubtedly the reflected image of

this or some other ship. It is such appearances as these that have

given rise to the stories which have been sometimes told of phantom

ships. Mirages are very common in the extensive deserts in hot

climates, exhibiting to the eye of the traveler various deceptive

appearances, as islands, lakes, etc. In Bonaparte's campaign

in Egypt such an appearance caused whole battalions of thirsty

soldiers to rush forward, supposing at the moment that a plentiful

supply of water was at hand.

[Illustration: Fig. 235.]

The most astonishing instance of mirage of which I have ever heard

is thus narrated: "The cliffs on the French coast are 50 miles

distant from Hastings, on the coast of Sussex, and they are

actually hidden from the eye by the convexity of the earth; that is

to say, a straight line drawn from Hastings to Calais or Boulogne

would pass through the sea. A year or two ago, however, a Fellow of

the Royal Society, who was residing at Hastings, was surprised to

see a crowd of people running to the sea-side. Upon inquiry as to

the cause of this he was informed that the coast of France could

be seen by the naked eye. He immediately went down to the shore to

witness so singular a sight, and there discovered distinctly the

French cliffs extending for some leagues along the horizon, and so

vividly that they appeared to be only a few miles off. The sailors

and fishermen, with whom Mr. Latham walked along the water's

edge, could hardly at first be persuaded of the reality of the

appearance; but as the cliffs gradually became more elevated they

were so convinced that they pointed out to Mr. Latham the different

places they were accustomed to visit--such as the bay and the

wind-mill at Boulogne, St. Vallery, and other places on the coast

of Picardy, even as far as Dieppe, all the French shores appearing

to the English sailors as if they were sailing at a short distance

from them toward the harbors. With the aid of a telescope the

French fishing-boats were plainly seen at anchor; and the different

colors of the land upon the heights, together with the buildings,

were perfectly discernible. The day when this occurred is said to

have been extremely hot, without a breath of wind stirring, and the

phenomenon continued visible in the highest splendor until past

eight o'clock in the evening, having been seen for three hours

continuously."

[Illustration: Fig. 236.]

[Illustration: Fig. 237.]

348. =Visual Angle.=--In order that you may understand the

operation of lenses in relation to vision I must first explain to

you what is meant by the visual angle. In Fig. 236 (p. 270) are

represented arrows of the same size at different distances from the

eye. From the ends of each of the arrows are drawn lines to the

eye. The angle which these lines make in each case as they meet

at the eye is termed the visual angle. Now the apparent size of

an object depends upon the size of this angle. The degrees of the

angles are marked upon the figure. Thus the visual angle of the

nearest arrow is 120 degrees, and that of the second is 60, only

half as large. The first arrow therefore appears twice as large as

the second. For the same reason it appears four times as large as

the third, eight times as large as the fourth, and twelve times as

large as the fifth. The same thing is illustrated in another way in

Fig. 237. Here the arrows _e f_, _g h_, and _i k_ appear to the eye

as large as A B, because they have the same visual angle, and for

this reason make an image of the same size in the eye, as you see

is indicated in the figure. It is hardly necessary to say that what

is true of objects as a whole is true also of any part of them.

Each part, however small, has its visual angle, and this governs

its apparent size.

[Illustration: Fig. 238.]

[Illustration: Fig. 239.]

349. =Lenses.=--Transparent bodies having curved surfaces are

called lenses. There are six kinds, represented in Fig. 238. The

lenses in most common use are the double convex and double concave.

The explanation of the mode in which these act upon light will

sufficiently illustrate the operation of the others. They act

by refraction, the convex collecting the rays, or bringing them

nearer together, and the concave putting them farther apart. You

can at once see, then, that a convex lens by causing the rays

coming from an object to converge more, increases the visual angle,

and therefore makes the object to appear larger than it otherwise

would. This effect is illustrated by Fig. 239. The rays of light

coming from the arrow are made by the lens so to converge as to

meet at _a_, instead of _b_, where they would meet if they did not

pass through the lens. That is, by passing through the lens they

have a larger visual angle, and therefore the object is magnified.

The distance between, _c_ and _d_ shows the size which the arrow

would appear to have to the eye placed at _a_.

[Illustration: Fig. 240.]

350. =Microscopes and Telescopes.=--What has been said of the

action of the convex lens upon the visual angle will serve to

explain the operation of the microscope. This instrument may be

single or compound. The compound microscope has more than one lens,

and is used to magnify very minute objects. Its operation may be

seen by the diagram, Fig. 240. Rays from the object, E F, passing

through the first lens, or object-glass, as it is called, form a

magnified inverted image, G H, which is still more magnified by the

eye-glass, C D. In the telescope we have also convex lenses, but

they are arranged differently from those of the microscope, as the

objects to be magnified are distant.

[Illustration: Fig. 241.]

351. =Magic Lantern.=--This is an instrument by which pictures

made upon slips of glass with coloring substances which allow the

light to pass readily are thrown upon a screen magnified. It is a

metallic lantern, A A, Fig. 241, with a concave reflector, _p q_,

and two convex lenses, _m_ and _n_. At _c d_ is a space between

the lenses into which the pictures are introduced. L is a strong

light, which is in the focus both of the mirror and the lens

_m_. The picture is therefore illuminated strongly by the rays

reflected from the mirror and passed through the lens. The lens _n_

which is movable, is so adjusted as to throw a highly magnified

image of the picture upon the screen. As the image is an inverted

one the pictures must be inserted upside down, that the images

on the screen may be upright. The _solar microscope_ is, in its

essential parts, like the magic lantern, the sun being used as the

illuminator.

[Illustration: Fig. 242.]

[Illustration: Fig. 243.]

352. =Camera Obscura.=--This instrument differs from the magic

lantern in giving us diminished images of objects. An instrument

of this kind can be arranged extemporaneously any where. Thus, if

into a darkened chamber light be admitted through a small opening,

inverted images of any objects in front of the opening will be

formed upon a white screen in the opposite part of the chamber.

Such an arrangement is represented in Fig. 242 (p. 273), C D being

the chamber, L the opening, and _a b_ the image of the object A

B. The images in such a case, however, are faint, because the

opening must necessarily be small, and therefore but few rays,

comparatively, come from the objects. By making the opening larger,

and gathering the rays that enter it with a double convex lens,

we can have well-defined and bright images of objects. Though the

camera obscura may have various forms, I have described what is

essentially the arrangement of the instrument. One form of it, for

sketching either single objects or groups of them in landscapes, is

represented in Fig. 243. Here the rays of light coming from objects

strike upon a mirror, A B, and are reflected through a convex lens,

C D, upon white paper on the bottom, E F, of the box, where the

outlines of the images are traced by the sketcher. The light can

enter only at the opening above, for on the side of the box which

is open there hangs down a curtain on the back of the artist as he

sketches.

[Illustration: Fig. 244.]

353. =The Eye.=--The eye is essentially a camera obscura. It is a

dark chamber in which images are formed upon a screen in its back

part, and the light which comes from objects is admitted through

an opening in front, where there is a double convex lens. That

you may understand the manner in which the images are formed, I

give you, in Fig. 244, a map of the eye. At _a_ is the thick,

strong white coat called the _sclerotic_ coat, from a Greek word

meaning hard. This, which is commonly the white of the eye, gives

to the eyeball its firmness. Into this is fastened in front,

like a crystal in a watch-case, _e_, the _cornea_. The sclerotic

and cornea, you see then, make together one coat of the eye, the

outer one. The cornea is the clear, transparent window of the eye

through which the light enters. Next to the sclerotic coat comes

the _choroid_ coat, which is dark, to prevent too much reflection

back and forth in the eye. Then you have a very thin membrane, _c_,

the _retina_, the screen on which the images are formed. This is

composed chiefly of the fine fibres of the nerve of sight, _d_. To

return to the front of the eye where the light enters--behind the

cornea is the iris, _g g_, which is immersed in a watery fluid,

_f_, called the _aqueous humor_. The light passing through the

cornea and the aqueous humor comes to the crystalline lens, _h_,

which, you see, is a double convex lens. Passing through this and

through a jelly-like substance, called the vitreous humor, which

fills all that large space _i_, it strikes upon the retina, _c_,

where it forms the images of the objects from which it came.

You see now how the eye is like a camera obscura. You have in it

the dark chamber with its screen, the opening through the iris, the

pupil, for the admission of the light, and just behind this opening

the lens for gathering or concentrating the light before it falls

upon the retina. The refraction of the light is not, however, done

wholly by this lens. The projecting cornea, with its contained

aqueous humor, refracts it considerably, for it forms a convex lens.

[Illustration: Fig. 245.]

[Illustration: Fig. 246.]

354. =Distinct Vision.=--In order that vision may be perfectly

distinct, it is necessary that the rays coming from each point of

the object which is seen should, on converging, meet together, or

be brought to a focus on the screen of the eye, the retina. Thus,

in Fig. 245, the rays which come from _a_, the end of the arrow,

meet on the retina at _b_, and those from _c_, the other end,

are brought to a focus at _d_. Now the muscles of the eye have

considerable power in adjusting the eye to objects at different

distances, so as to bring the rays in most cases together exactly

at the retina. They fail to do it with objects that are very near.

You can see that this is so if you bring any object, as your

finger, nearer and nearer to the eye. You will at length find that

you can not see it distinctly. The reason is, that the rays from it

diverge so much that the cornea and lens can not make them converge

enough to meet at the retina. This divergence of rays at different

distances is illustrated in Fig. 246. Suppose that you are looking

at some very minute object. The nearer you bring it to the eye the

better you can see it, till you come to a certain point. There the

rays are so divergent, as you can readily see by the figure, that

the lenses of the eye can not make them converge sufficiently for

distinct vision. Now just here the microscope comes in to help the

eye by causing these divergent rays to come nearer together before

they enter the window of the eye, the cornea.

[Illustration: Fig. 247.]

[Illustration: Fig. 248.]

355. =Near-Sighted and Far-Sighted.=--Some persons have their

eyes so shaped that they can not fully adjust them to objects

at different distances. Thus the near-sighted can see with

distinctness only objects that are near. The reason is that the

rays converge too much, and are brought to a focus before they

arrive at the retina, as represented in Fig. 247. The images

therefore of distant objects are indistinct. If the retina could

in any way be brought forward a little the difficulty would be

obviated. But as this can not be done, concave glasses are resorted

to, which counteract the effect of the too highly refractive power

of the eye. In the far-sighted the difficulty is of an opposite

character. The refractive power is so feeble that when near objects

are viewed the rays are not brought to a focus soon enough, as

seen in Fig. 248. Convex glasses are used in this case, making the

divergent rays of near objects less divergent before they enter the

cornea.

356. =Images in the Eye Inverted.=--The images formed on the

retina are inverted. This can be proved by taking the eye of an

ox and carefully paring off the back of it, leaving little else

than the retina itself. Holding now a candle before the eye,

its image may be seen inverted upon its rear part. The question

arises why it is that we see objects erect when their images on

the retina are inverted. On this point I will quote from my _Human

Physiology_: "It has been supposed by some that we really see

every thing reversed, and that our experience with the sense of

touch, in connection with that of vision, sets us right in this

particular. And this it is supposed is the more readily done from

the fact that our own limbs and bodies are reversed as pictured on

the retina, as well as objects that are around us, so that every

thing is _relatively_ right in position. But if this be the true

explanation, those who have their sight restored after having been

blind from birth should at first see every thing wrong side up, and

should be conscious of rectifying the error by looking at their

own limbs and bodies. But this is not so. The above explanation of

erect vision, and other explanations of a similar character, are

based upon a wrong idea of the office which the nerve performs in

the process of vision. It is not the image formed upon the retina

which is transmitted to the brain, but an impression produced by

that image. The mind does not look in upon the eye and see the

image, but it receives an impression from it through the nerve; and

this impression is so managed that the mind gets the right idea

of the relative position of objects. Of the way in which this is

done we know as little as we know of the nature of the impression

itself."

357. =Single Vision.=--Whenever we see any object with both eyes

there is an image formed in each eye, and impressions go from

both eyes by the optic nerves to the brain. And yet with these

two impressions there is no double vision so long as the two eyes

correspond with each other in situation. This is because the image

in one eye occupies the same place on the retina that the image in

the other eye does. The correspondence is ordinarily perfect, the

two eyes turning always together in the same way, upward, downward,

or laterally, without the least variation. You can observe the

effect of a want of this correspondence by pressing one of the

eyes in some direction with the finger while the other is left

free to move in obedience to the muscles. When this is done every

object appears double, because its image occupies in one eye a

different part of the retina from what it does in the other, and

so two different impressions are carried to the brain. The same

thing occurs in squinting, in which the action of the muscles of

the two eyes does not agree. Ordinarily in squinting there is not

double vision, because the mind has the habit of disregarding the

impressions that come from the defective eye. But when squinting

occurs suddenly from disease there is double vision, for it takes a

little time to form the habit referred to.

358. =Stereoscope.=--The images of objects in the two eyes, though

always similar, are not generally perfectly alike. They are so

only when the object presents a simple surface, as in the case of

pictures. When the object presents two or more surfaces to the

sight the images are more or less unlike. This can be illustrated

in a very simple way. Hold a book up straight before your eyes

with its back toward you. You see the back and both sides. Now if

you shut your right eye you will see with the left the back of

the book and the left side. That is, these two parts of the book

are imaged on the retina of the left eye. By shutting the left

eye it will appear that the image in the right is different, for

you see now with the back the right side of the book. Here you

have the explanation of the stereoscope. In the right side of this

instrument you have the picture of the object as the object itself

would appear to the right eye, and in the left side you have the

picture of it as it would appear to the left eye. Thus, if a book

in the position alluded to above were the object, in the right

picture there should be represented the back together with the

right side of the cover, and in the left the back with the left

side of the cover. The two impressions, carried to the brain by the

optic nerves, give together the impression of a solid book. The

same principles apply to the representation of all solids in the

stereoscope.

[Illustration: Fig. 249.]

359. =Thaumatrope.=--Each impression made upon the optic nerve

by light lasts about the eighth part of a second. No distinct

impressions can be made, therefore, upon the retina unless they

succeed each other with less rapidity than this. If, for example,

in the revolution of a wheel, eight or more spokes pass by one

point in a second, they can not be seen as distinct spokes, but

will be mingled together, producing one continuous impression. So,

too, if a light revolve so as to describe a circle in an eighth

part of a second it will appear to the eye as one unbroken circle

of light. It is this continuous impression on the retina that

makes small objects, as the cars pass swiftly along, appear to run

in long lines along with us. The fact thus developed is made use

of in the contrivance of a toy called the thaumatrope. A picture

is made on each side of a circular card, and whirling the card

around very rapidly by means of two strings fastened to it, the two

pictures are made to mingle together as one. Thus in Fig. 249 are

represented the two sides of such a card, on the one side there

being the picture of a dog, and on the other that of a monkey. When

made to revolve rapidly the monkey will be seen sitting on the back

of the dog.

[Illustration: Fig. 250.]

360. =Light Compound.=--I have thus far spoken of light as if it

were a simple thing. But it is compound. Every ray of white light

has in it seven different colors. That this is so we can prove by

taking a beam of light by itself and dissecting it, as we may say,

or separating it into its seven parts. I will show you how this can

be done. Let D E, Fig. 250, a beam of the sun's light, pass through

a small opening in a shutter into a dark room. The rays will pursue

a straight course, and if a screen be placed at F they will make a

spot of white light. But if a glass prism, A B C, be held in the

position represented the rays will be refracted, and when received

upon the screen M N the light will be separated into seven colors

in the order which is given. The figure thus produced is called the

solar spectrum. Observe why it is that the colors are separated.

It is because they are refracted unequally. If they were equally

refracted the light upon the screen would be white, as before it

was refracted. The violet rays are most refracted, the indigo next,

the blue next, etc., and the red are the least refracted of all.

361. =Proportion of the Colors in Light.=--The colors in light are

not equal in amount. If we divide the spectrum into 360 equal parts

the proportion in the colors will be as follows: red, 45; orange,

27; yellow, 40; green, 60; blue, 60; indigo, 48; violet, 80.

Some suppose that there are really but three simple colors, red,

yellow, and blue, the other colors being produced by a combination

of these. Thus red and yellow will together form orange, and

yellow and blue will form green.

[Illustration: Fig. 251.]

362. =Recomposition of Light.=--After decomposing light by passing

it through a prism we can bring the separated colors together again

and form from them white light. The manner in which this is done is

represented in Fig. 251. The beam of light, after passing through

the prism S A A', instead of proceeding in the direction indicated

by the dotted lines to form the spectrum, is made to pass through

the prism S' B B', placed in a reversed position, and its rays are

refracted so as to assume their original relation, making a white

beam, M. Here the second prism counteracts the effect of the first,

because its position is exactly the reverse.

[Illustration: Fig. 252.]

Newton very justly considered the decomposition and the

recomposition of light as affording the most positive proof that

white light contains all the seven colors. He tried various

experiments to prove the same thing. Thus he mingled together

intimately seven powders having the seven prismatic colors, and

found that the mixture had a grayish-white aspect. He also painted

a circular board with these colors, and found that on whirling it

so rapidly that the colors could not be distinguished the whole

board appeared to be white. In order to have this succeed perfectly

the proportion between the colors must be observed, as in Fig. 252.

A very pretty way of illustrating the composition of light is to

have a top painted in this way. When the top is whirling rapidly

it is white, but as it slackens its motion the seven colors appear.

363. =Colors of Objects.=--The color of any object depends upon the

manner in which it reflects light. Thus, if it be red, it reflects

the red rays of the spectrum, absorbing the other rays; and if it

be green, it reflects the green rays, etc. If it reflect all the

colors together, it is white; and if it reflect none, or almost

none, of the light, it is black.

You can readily see why the color of an object varies with the

kind of light that shines upon it. If an object which is red in

sunlight be exposed to a yellow light, as a yellow flame, or

sunlight that has passed through a yellow-colored glass or curtain,

it loses its red color, for there are no red rays in the light to

be reflected by it into our eyes. A person exposed to such a light

has a deathlike paleness, the lips and skin losing entirely their

red color. This effect can be witnessed at any time by mixing

alcohol with a little salt on a plate and setting fire to it. You

see in what has been said the reason that, in examining goods in

the evening, especially by candle-light, we find the colors often

differ somewhat from those which they have in the day.

In some substances the colors are changeable with varying

positions, though the light be the same. We see this often in

shells and minerals. We see it also in some fabrics, as changeable

silk. This is owing to the arrangement of the particles, it being

such as to occasion variety in reflection with changes of position.

364. =Colors of the Clouds.=--There is no more gorgeous display of

colors than we sometimes see in the clouds at morning or evening,

especially the latter. These colors are occasioned simply by

refractions and reflections in the minute vesicles (§ 288) of which

the clouds are composed. How simple are the materials, light,

water, and air, and yet how grand and diversified are the results!

[Illustration: Fig. 253.]

[Illustration: Fig. 254.]

365. =The Rainbow.=--In producing the colors of the rainbow the

materials are less even than in producing those of the clouds.

They are only light and water. The colors come from the reflection

and refraction of light in the drops of the falling rain. I will

illustrate the manner in which these reflections and refractions

take place. Take a single drop, represented in Fig. 253. Let S be a

beam from the sun. This entering the drop at A, is refracted, and

passes to B, at the farther side of the drop. Here a portion of

it is lost by its proceeding on in the line B C. The remainder is

reflected to D, and passes to E, being refracted as it thus passes

out into a rarer medium, the air. Here you have a single reflection

and two refractions. But in the second bow, which is sometimes

formed, there are two reflections as well as two refractions, as

represented in Fig. 254. The beam of light, S, from the sun enters

the drop at A, is refracted, and passes to B. Here a portion

proceeds on in the direction B C. The other portion is reflected to

D. Then this is lessened by a part of it proceeding on in the line

D E. What remains is reflected to E. You see here the reason that

the second bow is not so bright as the primary one. In the latter

there is but one reflection in each drop, and therefore there is

but one point where there is loss of light by its passing on out

of the drop; while in the former there are two reflections, and

therefore loss at two points.

[Illustration: Fig. 255.]

366. =Circumstances under which Rainbows are Seen.=--A rainbow is

seen when the spectator stands between the sun and falling rain.

This commonly can not be the case, except in the latter part of

the day. It sometimes, though very rarely, happens that a shower

passes from the east to the west in the morning, and then a rainbow

can be seen in the west. Fig. 255 is intended to show under what

circumstances a rainbow is seen. Let a horizontal line be drawn

from O, the observer, to P, a point directly under the middle point

of the arch. If this line were extended backward from the observer

it would be precisely in the direction of the sun from him. That

is, the sun is directly opposite the middle of the bow. Now if

the drop at A reflect a red ray to the eye of the spectator all

other drops similarly situated in the arch will reflect red rays.

So if B reflect a green ray all other drops similarly situated

will do the same. And so of C, reflecting the violet ray. For the

sake of clearness there are only three reflections represented,

but the same is true of all the seven colors. In the secondary bow

the arrangement of the colors is reversed, the red being at the

inner part of the bow and the violet at the outer part. The double

reflections are manifest in the drops D, E, and F. What I have

described as taking place in a few drops takes place in countless

multitudes of them in forming the bow. As the exact place of the

rainbow depends not only upon the direction of the rays of the sun

but also the position of the spectator, it is clear that no two

spectators see precisely the same bow, for the drops that form it

for the one are not the same drops that form it for the other. This

is very obvious if the two be quite distant from each other; but it

is equally true if they are very near together, although in this

case the bow for the one would be very nearly coincident with the

bow for the other. It is also true that the rainbow of one moment

is not the rainbow of the next, for as the drops that reflect it

are falling drops there must be a constant succession of them in

any part of the bow.

367. =Colors in Dew-Drops and Ice-Crystals.=--We often see

something very analogous to the rainbow in the dew. As the sun

rises, if, with our backs to it, we look at the dew-drops, we

see all the colors of the rainbow glistening every where before

us, as if the grass were filled with gems of every hue. Here we

have the same refraction and reflection in drops of water, and

the resemblance fails only in the regularity of arrangement which

the rainbow presents. We see the same thing also if the ground is

strewed with bits of ice which have fallen from the branches of the

trees, and the sun shines aslant upon them.

368. =Heat and Light.=--We have not yet finished our dissection

of the beam of light, begun in § 360. In the beam of light which

is separated into the seven colors there is heat also; and in the

separation it is found, as represented in Fig. 256, that the rays

of heat are most abundant just beyond the red rays, while they are

very sparing indeed at the other end of the spectrum. The greatest

degree of light is at the boundary between the orange and the

yellow rays.

[Illustration: Fig. 256.]

369. =Chemistry of Light and the Daguerreotype.=--There is a

chemical power also in light, producing every where, quietly but

thoroughly, important effects. The chemical rays are most abundant

at the end of the spectrum opposite to that where the heat-rays

abound. It is these which do the work in Daguerreotyping. In

this art light has been said to be the painter; but this is not

strictly true. Light makes the image of the object, just as it

does in the camera obscura and in the eye, but it has no power to

fasten that image upon the metallic plate. This is done by the

chemical rays, which, like the rays of heat, go along with the

light. Without going into particulars, which will be given in Part

Second, the process of Daguerreotyping is simply this: A metallic

plate is so prepared that the chemical rays of light shall act

upon it sensibly. Then the object to be taken--a person or any

thing else--being before the instrument, a slip of ground glass

is inserted, and when the operator gets the lens so adjusted that

a good image of the object is seen on the glass he takes this out

and puts in its place the metallic plate. Rays of light coming from

the object make the image, and the chemical rays bound up with the

light act upon the plate so as to fix the image there.

Science for the School and Family, Part I. Natural Philosophy · 第 14 / 16 章