Supplementary Angles degrees 28 and 152

Supplementary Angles 28 - 152

Supplementary Angles degrees 28 and 152

Supplementary Angles degrees 27 and 153

Supplementary Angles 27 - 153

Supplementary Angles degrees 27 and 153

Supplementary Angles degrees 26 and 154

Supplementary Angles 26 - 154

Supplementary Angles degrees 26 and 154

Supplementary Angles degrees 25 and 155

Supplementary Angles 25 - 155

Supplementary Angles degrees 25 and 155

Supplementary Angles degrees 24 and 156

Supplementary Angles 24 - 156

Supplementary Angles degrees 24 and 156

Supplementary Angles degrees 23 and 157

Supplementary Angles 23 - 157

Supplementary Angles degrees 23 and 157

Supplementary Angles degrees 22 and 158

Supplementary Angles 22 - 158

Supplementary Angles degrees 22 and 158

Supplementary Angles degrees 21 and 159

Supplementary Angles 21 - 159

Supplementary Angles degrees 21 and 159

Supplementary Angles degrees 20 and 160

Supplementary Angles 20 - 160

Supplementary Angles degrees 20 and 160

Supplementary Angles degrees 19 and 161

Supplementary Angles 19 - 161

Supplementary Angles degrees 19 and 161

Supplementary Angles degrees 18 and 162

Supplementary Angles 18 - 162

Supplementary Angles degrees 18 and 162

Supplementary Angles degrees 17 and 163

Supplementary Angles 17 - 163

Supplementary Angles degrees 17 and 163

Supplementary Angles degrees 16 and 164

Supplementary Angles 16 - 164

Supplementary Angles degrees 16 and 164

Supplementary Angles degrees 15 and 165

Supplementary Angles 15 - 165

Supplementary Angles degrees 15 and 165

Supplementary Angles degrees 14 and 166

Supplementary Angles 14 - 166

Supplementary Angles degrees 14 and 166

Supplementary Angles degrees 13 and 167

Supplementary Angles 13 - 167

Supplementary Angles degrees 13 and 167

Supplementary Angles degrees 12 and 168

Supplementary Angles 12 - 168

Supplementary Angles degrees 12 and 168

Supplementary Angles degrees 11 and 169

Supplementary Angles 11 - 169

Supplementary Angles degrees 11 and 169

Supplementary Angles degrees 10 and 170

Supplementary Angles 10 - 170

Supplementary Angles degrees 10 and 170

Supplementary Angles degrees 9 and 171

Supplementary Angles 9 - 171

Supplementary Angles degrees 9 and 171

Supplementary Angles degrees 8 and 172

Supplementary Angles 8 - 172

Supplementary Angles degrees 8 and 172

Supplementary Angles degrees 7 and 173

Supplementary Angles 7 - 173

Supplementary Angles degrees 7 and 173

Supplementary Angles degrees 6 and 174

Supplementary Angles 6 - 174

Supplementary Angles degrees 6 and 174

Supplementary Angles degrees 5 and 175

Supplementary Angles 5 - 175

Supplementary Angles degrees 5 and 175

Supplementary Angles degrees 4 and 176

Supplementary Angles 4 - 176

Supplementary Angles degrees 4 and 176

Supplementary Angles degrees 3 and 177

Supplementary Angles 3 - 177

Supplementary Angles degrees 3 and 177

Supplementary Angles degrees 2 and 178

Supplementary Angles 2 - 178

Supplementary Angles degrees 2 and 178

Supplementary Angles degrees 1 and 179

Supplementary Angles 1 - 179

Supplementary Angles degrees 1 and 179

Supplementary Angles degrees 0 and 180

Supplementary Angles 0 - 180

Supplementary Angles degrees 0 and 180

"Bounded by twelve rhomb-shaped faces parallel to the six dodecahedral planes of symetry. the angles between the normals to adjacent faces are 60 degrees...[and] 90 degrees; the indices are {110}" -The Encyclopedia Britannica 1910

Rhombic Dodecahedron

"Bounded by twelve rhomb-shaped faces parallel to the six dodecahedral planes of symetry. the angles…

"...to be cut in half by this plane (the twinned plane, reference Twinned Crystal of Gypsum) and one portion to be rotated through 180 degrees about the normal to the same plane. Described as being twinned on the plane." -The Encyclopedia Britannica 1910

Simple Crystal of Gypsum

"...to be cut in half by this plane (the twinned plane, reference Twinned Crystal of Gypsum) and one…

"Here one cube may be brought into the position of the other by a rotation of 180 degrees about a traid axis, or by reflection across the octrahedral plane which is perpendicular to this axis." -The Encyclopedia Britannica 1910

Interpenetrating Twinned Cubes

"Here one cube may be brought into the position of the other by a rotation of 180 degrees about a traid…

"If the ball approaches the floor under a larger or smaller angle, its rebound will observe the same rule [of reflected motion]." -Comstock 1850

Reflected Motion

"If the ball approaches the floor under a larger or smaller angle, its rebound will observe the same…

"This power, the most simple of all machines, consists of a hard, smooth, plane, inclined to the horizon in various degrees." -Comstock 1850

Inclined Plane

"This power, the most simple of all machines, consists of a hard, smooth, plane, inclined to the horizon…

"The ray a, c, is the ray of incidence, and that from c, to d, is the ray or reflection. The angles which a, c, make with the perpendicular line, and with the plane of the mirror, is exactly equal to those made by c, d, with the same perpendicular, and the same plane surface." -Comstock 1850

Reflection of Light

"The ray a, c, is the ray of incidence, and that from c, to d, is the ray or reflection. The angles…

"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…

"...as the arrow is moved backwards, the angle at c, must be diminished, because the rays flowing from the extremities of the object fall a greater distance before the reach the surface of the mirror; and as the angles of the reflected rays bear a proportion to those of the incident ones, so the angle of vision will become less in proportion, as the object is withdrawn." -Comstock 1850

Convex Mirror

"...as the arrow is moved backwards, the angle at c, must be diminished, because the rays flowing from…

"...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 diverging rays fall on the surface of the same lens, they will, by refraction, be rendered less divergent, parallel, or convergent, according to the degrees of their divergency, and the convexity of the surface of the lens." -Comstock 1850

Diverging Rays from a Double Convex Lens

"If diverging rays fall on the surface of the same lens, they will, by refraction, be rendered less…

"Suppose the object a, appears to the naked eye of the length repreesnted in the drawing. Now, as the rays coming from each end of the object, form by their convergence at the eye, the visual angle, or the angle under which the object is seem, and we call objects large or small in proportion as this angle is obtuse or acute, if, therefore, the object a be withdrawn futher from the eye, it is apparent that the rays o, o, proceeding from its extremities, will enter the eye under a more acute angle, and therefore that the object will appear diminished in proportion." -Comstock 1850

Visual Angle

"Suppose the object a, appears to the naked eye of the length repreesnted in the drawing. Now, as the…

"The angle under which the rays of light, coming from the extremities of an object, cross each other at the eye, bears a proportion directly to the length, and inversely to the distance of the object." -Comstock 1850

Angle of Vision

"The angle under which the rays of light, coming from the extremities of an object, cross each other…

"Direction of the needle when placed at a right angle to the uniting wire." -Comstock 1850

Wire at Right Angle to the Uniting Wire

"Direction of the needle when placed at a right angle to the uniting wire." -Comstock 1850

"Firmly fasten one end of a piece of spring-brass wire, about No. 27 and about 1 m. long so that the wire hangs vertical. To the lower end of the wire fasten a weight of 75 or 100 g. To this weight attach a pointer so that it extends horizontally from the direction of the wire. Turn the weight througha considerable angle, thus twisting the wire. Release the weight, and notice the rapid movements of the pointer of the torsional pendulum." -Avery 1895

Torsional Pendulum

"Firmly fasten one end of a piece of spring-brass wire, about No. 27 and about 1 m. long so that the…

"The angle, ABD, included between the direction of the moving body before it strikes the reflecting surface, and a perpendicular to that surface drawn from the point of contact, is called the angle of incidence. The angle between the perpendicular and the direction of the moving body after striking is called the angle of reflection." -Avery 1895

Law of Reflected Motion

"The angle, ABD, included between the direction of the moving body before it strikes the reflecting…

"An inclined plane is a smooth, hard, inflexible surface, inclined so as to make an oblique angle with the horizon." -Avery 1895

Inclined Plane

"An inclined plane is a smooth, hard, inflexible surface, inclined so as to make an oblique angle with…

"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…

"A prism is a transparent body with two refraction surfaces that lie in intersecting planes. The angle formed by these planes is called the refracting angle." -Avery 1895

Prism

"A prism is a transparent body with two refraction surfaces that lie in intersecting planes. The angle…

"Cathetal prisms readily yield the phenomena of total reflection as shown, and are often used when light is to be turned through a right angle." -Avery 1895

Cathetal Prism

"Cathetal prisms readily yield the phenomena of total reflection as shown, and are often used when light…

"The magnetic poles of the earth do notc oincide with its geographical poles and, condequently, in some places, the magnetic needle does not point ot the geographical north. The angle that the axis of a compass-bneedle makes with the geographical meridian at any place is called the declination or variation of the needle at that place...Lines drawn through places on the earth where the declination is the sam are called isogonic lines, as shown." -Avery 1895

Isogonic Lines of Earth

"The magnetic poles of the earth do notc oincide with its geographical poles and, condequently, in some…

"An inclined plane is a slope, or flat surface, making an angle with a horizontal line...the force acts parallel to the plane." —Hallock 1905

Inclined Plane with the Force Acting Parallel to the Plane

"An inclined plane is a slope, or flat surface, making an angle with a horizontal line...the force acts…

"An inclined plane is a slope, or flat surface, making an angle with a horizontal line...the force acts parallel to the base." —Hallock 1905

Inclined Plane with the Force Acting Parallel to the Base

"An inclined plane is a slope, or flat surface, making an angle with a horizontal line...the force acts…

"An inclined plane is a slope, or a flat surface, making an angle with a horizontal line...the force acts at an angle to the plane or to the base." —Hallock 1905

Inclined Plane with Force at an Angle to Plane and Base

"An inclined plane is a slope, or a flat surface, making an angle with a horizontal line...the force…

"An allotrope of sulphur, when heated to 115 degrees Celcius, will cool to be yellowish-brown, needle-shaped crystals, derived from an oblique prism." —Hallock 1905

Sulphur

"An allotrope of sulphur, when heated to 115 degrees Celcius, will cool to be yellowish-brown, needle-shaped…

"Angle of incidence equals angle of reflection." —Croft 1917

Reflection of Light

"Angle of incidence equals angle of reflection." —Croft 1917

"... if a ball be thrown from F against the surface B C so as to strike it perpendicularly at A, it will return in the line A F. If thrown from D however, it will glance off on the other side of the perpendicular, at the same angle, to E." —Quackenbos 1859

Reflected Motion

"... if a ball be thrown from F against the surface B C so as to strike it perpendicularly at A, it…

"One of the primary simple mechanical powers. The plane's surface is inclined to the horizon at any angle." —Quackenbos 1859

Inclined Plane

"One of the primary simple mechanical powers. The plane's surface is inclined to the horizon at any…

"A bulb of liquid is placed in the base of the glass graduated tube. As temperature increases, the volume of the liquid increases and it expands up the tube where its level is read on the graduated scale." —Quackenbos 1859

Thermometer

"A bulb of liquid is placed in the base of the glass graduated tube. As temperature increases, the volume…

"Mirror A/B is only half of person C's height. C is able to view his entire body through such a small mirror due to the angle of incidence from D to B to F." —Quackenbos 1859

Angle of Incidence and Reflection

"Mirror A/B is only half of person C's height. C is able to view his entire body through such a small…

Inclined plane using right triangle and proportions

Inclined Plane Triangle

Inclined plane using right triangle and proportions