LETTER XVI.--ON SIR ISAAC NEWTON'S OPTICS

The philosophers of the last age found out a new universe; and a

circumstance which made its discovery more difficult was that no one had

so much as suspected its existence. The most sage and judicious were of

opinion that it was a frantic rashness to dare so much as to imagine that

it was possible to guess the laws by which the celestial bodies move and

the manner how light acts. Galileo, by his astronomical discoveries,

Kepler, by his calculation, Descartes (at least, in his dioptrics), and

Sir Isaac Newton, in all his works, severally saw the mechanism of the

springs of the world. The geometricians have subjected infinity to the

laws of calculation. The circulation of the blood in animals, and of the

sap in vegetables, have changed the face of Nature with regard to us. A

new kind of existence has been given to bodies in the air-pump. By the

assistance of telescopes bodies have been brought nearer to one another.

Finally, the several discoveries which Sir Isaac Newton has made on light

are equal to the boldest things which the curiosity of man could expect

after so many philosophical novelties.

Till Antonio de Dominis the rainbow was considered as an inexplicable

miracle. This philosopher guessed that it was a necessary effect of the

sun and rain. Descartes gained immortal fame by his mathematical

explication of this so natural a phenomenon. He calculated the

reflections and refractions of light in drops of rain. And his sagacity

on this occasion was at that time looked upon as next to divine.

But what would he have said had it been proved to him that he was

mistaken in the nature of light; that he had not the least reason to

maintain that it is a globular body? That it is false to assert that

this matter, spreading itself through the whole, waits only to be

projected forward by the sun, in order to be put in action, in like

manner as a long staff acts at one end when pushed forward by the other.

That light is certainly darted by the sun; in fine, that light is

transmitted from the sun to the earth in about seven minutes, though a

cannonball, which were not to lose any of its velocity, could not go that

distance in less than twenty-five years. How great would have been his

astonishment had he been told that light does not reflect directly by

impinging against the solid parts of bodies, that bodies are not

transparent when they have large pores, and that a man should arise who

would demonstrate all these paradoxes, and anatomise a single ray of

light with more dexterity than the ablest artist dissects a human body.

This man is come. Sir Isaac Newton has demonstrated to the eye, by the

bare assistance of the prism, that light is a composition of coloured

rays, which, being united, form white colour. A single ray is by him

divided into seven, which all fall upon a piece of linen, or a sheet of

white paper, in their order, one above the other, and at unequal

distances. The first is red, the second orange, the third yellow, the

fourth green, the fifth blue, the sixth indigo, the seventh a

violet-purple. Each of these rays, transmitted afterwards by a hundred

other prisms, will never change the colour it bears; in like manner, as

gold, when completely purged from its dross, will never change afterwards

in the crucible. As a superabundant proof that each of these elementary

rays has inherently in itself that which forms its colour to the eye,

take a small piece of yellow wood, for instance, and set it in the ray of

a red colour; this wood will instantly be tinged red. But set it in the

ray of a green colour, it assumes a green colour, and so of all the rest.

From what cause, therefore, do colours arise in Nature? It is nothing

but the disposition of bodies to reflect the rays of a certain order and

to absorb all the rest.

What, then, is this secret disposition? Sir Isaac Newton demonstrates

that it is nothing more than the density of the small constituent

particles of which a body is composed. And how is this reflection

performed? It was supposed to arise from the rebounding of the rays, in

the same manner as a ball on the surface of a solid body. But this is a

mistake, for Sir Isaac taught the astonished philosophers that bodies are

opaque for no other reason but because their pores are large, that light

reflects on our eyes from the very bosom of those pores, that the smaller

the pores of a body are the more such a body is transparent. Thus paper,

which reflects the light when dry, transmits it when oiled, because the

oil, by filling its pores, makes them much smaller.

It is there that examining the vast porosity of bodies, every particle

having its pores, and every particle of those particles having its own,

he shows we are not certain that there is a cubic inch of solid matter in

the universe, so far are we from conceiving what matter is. Having thus

divided, as it were, light into its elements, and carried the sagacity of

his discoveries so far as to prove the method of distinguishing compound

colours from such as are primitive, he shows that these elementary rays,

separated by the prism, are ranged in their order for no other reason but

because they are refracted in that very order; and it is this property

(unknown till he discovered it) of breaking or splitting in this

proportion; it is this unequal refraction of rays, this power of

refracting the red less than the orange colour, &c., which he calls the

different refrangibility. The most reflexible rays are the most

refrangible, and from hence he evinces that the same power is the cause

both of the reflection and refraction of light.

But all these wonders are merely but the opening of his discoveries. He

found out the secret to see the vibrations or fits of light which come

and go incessantly, and which either transmit light or reflect it,

according to the density of the parts they meet with. He has presumed to

calculate the density of the particles of air necessary between two

glasses, the one flat, the other convex on one side, set one upon the

other, in order to operate such a transmission or reflection, or to form

such and such a colour.

From all these combinations he discovers the proportion in which light

acts on bodies and bodies act on light.

He saw light so perfectly, that he has determined to what degree of

perfection the art of increasing it, and of assisting our eyes by

telescopes, can be carried.

Descartes, from a noble confidence that was very excusable, considering

how strongly he was fired at the first discoveries he made in an art

which he almost first found out; Descartes, I say, hoped to discover in

the stars, by the assistance of telescopes, objects as small as those we

discern upon the earth.

But Sir Isaac has shown that dioptric telescopes cannot be brought to a

greater perfection, because of that refraction, and of that very

refrangibility, which at the same time that they bring objects nearer to

us, scatter too much the elementary rays. He has calculated in these

glasses the proportion of the scattering of the red and of the blue rays;

and proceeding so far as to demonstrate things which were not supposed

even to exist, he examines the inequalities which arise from the shape or

figure of the glass, and that which arises from the refrangibility. He

finds that the object glass of the telescope being convex on one side and

flat on the other, in case the flat side be turned towards the object,

the error which arises from the construction and position of the glass is

above five thousand times less than the error which arises from the

refrangibility; and, therefore, that the shape or figure of the glasses

is not the cause why telescopes cannot be carried to a greater

perfection, but arises wholly from the nature of light.

For this reason he invented a telescope, which discovers objects by

reflection, and not by refraction. Telescopes of this new kind are very

hard to make, and their use is not easy; but, according to the English, a

reflective telescope of but five feet has the same effect as another of a

hundred feet in length.

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