This is a painting of the artist, Lorenso Ghiberti. The artist who painted the image is unknown.

Ghiberti, Lorenzo

This is a painting of the artist, Lorenso Ghiberti. The artist who painted the image is unknown.

An image of spores.

Spores

An image of spores.

An image of a hill, valley, and river.

Hill

An image of a hill, valley, and river.

An image of a valley between mountains.

Valley

An image of a valley between mountains.

An image of a bay.

Bay

An image of a bay.

An image of a straight with boats going through it.

Straight

An image of a straight with boats going through it.

An image of a town viewed from upon a hill.

Town

An image of a town viewed from upon a hill.

An image of a lake in a town.

Lake

An image of a lake in a town.

An image of a crop of grain.

Grain

An image of a crop of grain.

"Suppose the mirror, a b, to be placed on the side of a room, and a lamp to be set in antoher room, but so situated as that its light would shine upon the glass. The lamp itself could not be seen by the eye placed at e, because the partition d is between them; but its image would be visible at e, beacuse the angle of the incident ray, coming from the light, and that of the reflected ray which reaches the eye, are equal." -Comstock 1850

Plane Mirror

"Suppose the mirror, a b, to be placed on the side of a room, and a lamp to be set in antoher room,…

"This will be understood [here] where the ray of light A B, proceeding from the eye, falls perpendicularly on the plane mirror B D. will be reflected back in the same line; but the ray C D coming from the feet, which falls obliquely on the mirror, will be reflected back under the same angle in the line D A; and since we see objects in the direction of the reflected rays, and the image appears at the same distance behind the mirror that is object is before it, we must continue the line A D to the feet, E, and for the same reason, the rays A B, from the eye, must be prolonged to F, as far behind the mirror as the line E extends, where the whole image will be represented." -Comstock 1850

Mirror Half the Length of the Object

"This will be understood [here] where the ray of light A B, proceeding from the eye, falls perpendicularly…

"If the object a be placed obliquely before the convex mirror, then the converging rays from its two extremities falling obliquely on its surface, would they prolonged through the mirror, meet at the point c, behind it. But instead of being thus continued, they are thrown back by the mirror in less convergent lines, which meet the eye at e, it being, as we have seen, one of the properties of this mirror, to reflect converging rays less convergent than before." -Comstock 1850

Curved Image

"If the object a be placed obliquely before the convex mirror, then the converging rays from its two…

"Hence the image of the object, when reflected from the convex mirror, appears smaller than the object itself." -Comstock 1850

Object Diminished in Convex Mirror

"Hence the image of the object, when reflected from the convex mirror, appears smaller than the object…

"To explain this, let us suppose that the arrow a, is diminished by reflection from the convex surface, so that its image appearing a d, with the eye at c, shall seem as much smaller in proportion to the object, as d is less than a. Now keeping the eye at the same distance from the mirror, withdraw the object, so that it shall be equally distant with the eye, and the image will gradually diminish, as the arrow is removed." -Comstock 1850

Convex Mirror

"To explain this, let us suppose that the arrow a, is diminished by reflection from the convex surface,…

"...let us suppose the object a, to be placed before the mirror, and nearer to it than the principal focus. Then the rays proceeding from the extremities of the object without interruption, would continue to diverge in the lines o and n, as seen behind the mirror' but by reflection they are made to diverge less than before, and consequently to make the angle under which the meet more obtuse at the eye b, than it would be if they continued onward to e, where they would have met without reflection. The result therefore, is to render the image h, upon the eye, as much larger than the object a, as the angle at the eye is more obtuse than the angle at e." -Comstock 1850

Object Within the Focus in a Concave Mirror

"...let us suppose the object a, to be placed before the mirror, and nearer to it than the principal…

"...if the object is placed more remote from the mirror than the principal focus, and between the focus and the centre of the sphere of which the reflector is a part, then the image will appear inverted on the contrary side of the centre, and farter from the mirror than the object; thus, if a lamp be placed obliquely before a concave mirror, its image will be seem inverted in the air, on the contrary side of a perpendicular line through the centre of the mirror." -Comstock 1850

Object Beyond the Focus in a Concave Mirror

"...if the object is placed more remote from the mirror than the principal focus, and between the focus…

"If the cornea is too convex, or prominent, the image will be formed before it reaches the retina, for the same reason, that of two lenses, that which is most convex will have the least focal distance." -Comstock 1850

Cornea too Convex on Eye

"If the cornea is too convex, or prominent, the image will be formed before it reaches the retina, for…

"...and the cornea will become too flat, or not suffciently convex, to make the rays of light meet at the proper place, and the image will therefore tend to be formed beyond the retina, instead of before it..." -Comstock 1850

Cornea too Concave on Eye

"...and the cornea will become too flat, or not suffciently convex, to make the rays of light meet at…

"...where we suppose that the object a, is brought within an inch or two of the eye, and that the rays proceeding from it enter the pupil so obliquely as not to be refracted b the lens, so as to form a distinct image." -Comstock 1850

Indistinct Vision

"...where we suppose that the object a, is brought within an inch or two of the eye, and that the rays…

"This consists of two convex lenses, by one of which the image is formed within the tube of the instrument, and by the other this image is magnified as seen by the eye; so that by this instrument the object itself is not seen, as with the single microscope, bu we see only its magnified image." -Comstock 1850

Compound Microscope

"This consists of two convex lenses, by one of which the image is formed within the tube of the instrument,…

"This consists of two lenses, one of which is called the condesner, because it is employed to concentrate the rays of the sun...The other is a double convex lens, of considerable magnifing power, by which the image is magnified." -Comstock 1850

Solar Microscope

"This consists of two lenses, one of which is called the condesner, because it is employed to concentrate…

"Suppose a, to be a distinct object, from which pencils of rays flow from every point toward the object lens b. The image of a, in consequence of the refraction of the rays by the object lens, is inverted at c, which is the focus of the eyeglass d, and through which the image is then seen, still inverted." -Comstock 1850

Refracting Telescope

"Suppose a, to be a distinct object, from which pencils of rays flow from every point toward the object…

"Suppose the object o to be at such a distance, that the rays of light from it pass in parallel lines, p, p, to the great reflector, r, r. this reflector being concave, the rays are converged by reflection, and cross each other at a, b which the image is inverted. The rays then pass to the small mirror, b, which being also concave, they are thrown back in nearly parallel lines, and having passed the aperture in the centre of the great mirror, fall on the plano-convex lens e." -Comstock 1850

Refracting Telescope

"Suppose the object o to be at such a distance, that the rays of light from it pass in parallel lines,…

"If light from a highly luminous body is admitted to a darkened room through a small hole in the shutter and ther received upon a white screen, it will form an inverted image of the object." -Avery 1895

Image by Aperature

"If light from a highly luminous body is admitted to a darkened room through a small hole in the shutter…

"Regular reflection results from the incidence of radiant energy upon a polished surface. When a beam of light falls upon a mirror, the greater part of it is reflected in a definite direction as is illustrated, and forms an image of the object from which it came. A perfect mirror would be invisible." -Avery 1895

Regular Reflection

"Regular reflection results from the incidence of radiant energy upon a polished surface. When a beam…

"If an object is placed before a plane mirror, a virtual image appears behind the mirror. Each point of this image seems to be as far behind the mirror as the corresponding point of the object is in front of the mirror. Hence, images seen in still, clear, water are inverted." -Avery 1895

Plane Mirror

"If an object is placed before a plane mirror, a virtual image appears behind the mirror. Each point…

"The construction for the image produced by a plane mirror depends upon the fact that the image of the object may be located by locating the images of a number of well chosen points in the surface of the object." -Avery 1895

Object in Plane Mirror

"The construction for the image produced by a plane mirror depends upon the fact that the image of the…

"By placing two plane mirrors facing each other, we may produce an indefinite series of images of an object between them. Each image acts as a material object with respect to the other mirror, in which we see an image of the first image, etc. When the mirrors are placed so as to form with each other an angle that is an aliquot part of 360 degrees, the number of images is one less than the quotient obtained by dividing four right angles by the included angle, provuded that quotient is an even number." -Avery 1895

Multiple Images in a Plane Mirror

"By placing two plane mirrors facing each other, we may produce an indefinite series of images of an…

"The focus of each point chose may be determined by tracing two rays from the point, and locating their real or apparent intersection after reflection by the mirror. The two rays most convenient for this purpose are teh oen that lies along the axis fo the point, and the one that lies parallel to the principal axis of the mirror." -Avery 1895

Concave Mirror with Image and Focus

"The focus of each point chose may be determined by tracing two rays from the point, and locating their…

"When the object is at a distance from the mirror somewhat greater than the center of curvature, as beyond C, the image is real, inverted, smaller than the object, and at a distance from the mirror greater than that of the principle focus and less than that of the center of curvature, as between F and C." -Avery 1895

Image Beyond the Curvature of a Concave Mirror

"When the object is at a distance from the mirror somewhat greater than the center of curvature, as…

"The spherical aberration of a concave mirror is the deviation of some of the reflected light from the focus, as shown It arises from the curvature of the mirror, and causes an indistinctness or blurring of the image." -Avery 1895

Spherical Aberration of a Concave Mirror

"The spherical aberration of a concave mirror is the deviation of some of the reflected light from the…

"Rays from an object showing the reproduction of an image in a convex mirror." -Avery 1895

Convex Mirror Reproducing an Image of an Arrow

"Rays from an object showing the reproduction of an image in a convex mirror." -Avery 1895

"Showing how an object is refracted through a biconvex lens." -Avery 1895

Object Refracted through Biconvex Lens

"Showing how an object is refracted through a biconvex lens." -Avery 1895

"The prism will deflect the red and orange, and form a reddish colored image at n. The violet, indigo, blue, green and yellow light, not caught by the prism, will unite at f to form a greenish image. When the prism is removed, the reddish light that fell at n, and the greenish light that fell at f, unite to form white light." -Avery 1895

Refraction of Complimentary Colors

"The prism will deflect the red and orange, and form a reddish colored image at n. The violet, indigo,…

"Showing how the image of an object which is seen is formed on the retina of the eye." —Croft 1917

Eye Focusing on Object

"Showing how the image of an object which is seen is formed on the retina of the eye." —Croft 1917

"Slit A is a very small opening. The light coming from the soldier on the right shines through the slit in straight lines making the image of the soldier inverted on wall W." —Quackenbos 1859

Inverted Image

"Slit A is a very small opening. The light coming from the soldier on the right shines through the slit…

"Parallel rays strike the convex mirror, reflect, and diverge as if they had originated from a virtual focus inside the mirror. Focus F is located between the surface of the mirror and the mirror's center if it were a full body sphere." —Quackenbos 1859

Reflection by Convex Mirrors

"Parallel rays strike the convex mirror, reflect, and diverge as if they had originated from a virtual…

"If the coin were to be observed in an empty pan and then watched as the pan was filled with water, the image of the coin would be refracted to position N." —Quackenbos 1859

Refraction as seen by the Human Eye

"If the coin were to be observed in an empty pan and then watched as the pan was filled with water,…

Illustrations of a circle with segment, semicircle, sector, quadrant, and central angles drawn.

Circle with Segment, Semicircle, Sector, Quadrant, and Central Angle

Illustrations of a circle with segment, semicircle, sector, quadrant, and central angles drawn.

Illustration of a circle with a right angle inscribed in a semicircle.

Circle With Inscribed Right Angle in Semicircle

Illustration of a circle with a right angle inscribed in a semicircle.

Illustration of a circle with an angle inscribed in a segment greater than a semicircle, an acute angle.

Circle With Inscribed Angle Greater Than Semicircle

Illustration of a circle with an angle inscribed in a segment greater than a semicircle, an acute angle.

Illustration of a circle with an angle inscribed in a segment less than a semicircle, an obtuse angle.

Circle With Inscribed Angle Less Than Semicircle

Illustration of a circle with an angle inscribed in a segment less than a semicircle, an obtuse angle.

Right triangle inscribed in semicircle. Illustration shows that the perpendicular from any point in the circumference to the diameter of a circle is the mean proportional between the segments of the diameter.

Right Triangle Inscribed in Semicircle Shows Mean Proportional

Right triangle inscribed in semicircle. Illustration shows that the perpendicular from any point in…

Semicircle with line drawn perpendicular to the diameter.

Semicircle

Semicircle with line drawn perpendicular to the diameter.

A protractor indicating a measurement of 10 degrees.

Protractor, 10 Degrees

A protractor indicating a measurement of 10 degrees.

A protractor indicating a measurement of 15 degrees.

Protractor, 15 Degrees

A protractor indicating a measurement of 15 degrees.

A protractor indicating a measurement of 20 degrees.

Protractor, 20 Degrees

A protractor indicating a measurement of 20 degrees.

A protractor indicating a measurement of 25 degrees.

Protractor, 25 Degrees

A protractor indicating a measurement of 25 degrees.

A protractor indicating a measurement of 30 degrees.

Protractor, 30 Degrees

A protractor indicating a measurement of 30 degrees.

A protractor indicating a measurement of 35 degrees.

Protractor, 35 Degrees

A protractor indicating a measurement of 35 degrees.

A protractor indicating a measurement of 40 degrees.

Protractor, 40 Degrees

A protractor indicating a measurement of 40 degrees.

A protractor indicating a measurement of 45 degrees.

Protractor, 45 Degrees

A protractor indicating a measurement of 45 degrees.

A protractor indicating a measurement of 50 degrees.

Protractor, 50 Degrees

A protractor indicating a measurement of 50 degrees.

A protractor indicating a measurement of 55 degrees.

Protractor, 55 Degrees

A protractor indicating a measurement of 55 degrees.

A protractor indicating a measurement of 60 degrees.

Protractor, 60 Degrees

A protractor indicating a measurement of 60 degrees.

A protractor indicating a measurement of 65 degrees.

Protractor, 65 Degrees

A protractor indicating a measurement of 65 degrees.

A protractor indicating a measurement of 70 degrees.

Protractor, 70 Degrees

A protractor indicating a measurement of 70 degrees.

A protractor indicating a measurement of 75 degrees.

Protractor, 75 Degrees

A protractor indicating a measurement of 75 degrees.

A protractor indicating a measurement of 80 degrees.

Protractor, 80 Degrees

A protractor indicating a measurement of 80 degrees.

A protractor indicating a measurement of 85 degrees.

Protractor, 85 Degrees

A protractor indicating a measurement of 85 degrees.