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Illustration of a hollow right heptagonal (septagonal) pyramid. The base is a heptagon and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top. The hidden edges are shown in this drawing.

Inverted Septagonal/Heptagonal Pyramid

Illustration of a hollow right heptagonal (septagonal) pyramid. The base is a heptagon and the faces…

Illustration of a right hexagonal pyramid with hidden edges shown. The base is a hexagon and the faces are isosceles triangles.

Hexagonal Pyramid

Illustration of a right hexagonal pyramid with hidden edges shown. The base is a hexagon and the faces…

Illustration of a right hexagonal pyramid with hidden edges shown. The base is a hexagon and the faces are isosceles triangles.

Hexagonal Pyramid

Illustration of a right hexagonal pyramid with hidden edges shown. The base is a hexagon and the faces…

Illustration of a hollow right hexagonal pyramid. The base is a hexagon and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Hexagonal Pyramid

Illustration of a hollow right hexagonal pyramid. The base is a hexagon and the faces are isosceles…

Illustration of a non-right, or skewed, hexagonal pyramid with hidden edges shown. The base is a hexagon and the faces are isosceles triangles.

Skewed Hexagonal Pyramid

Illustration of a non-right, or skewed, hexagonal pyramid with hidden edges shown. The base is a hexagon…

Illustration of a right nonagonal pyramid with hidden edges shown. The base is a nonagon and the faces are isosceles triangles.

Nonagonal Pyramid

Illustration of a right nonagonal pyramid with hidden edges shown. The base is a nonagon and the faces…

Illustration of a hollow right nonagonal pyramid. The base is a nonagon and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Nonagonal Pyramid

Illustration of a hollow right nonagonal pyramid. The base is a nonagon and the faces are isosceles…

Illustration of a right octagonal pyramid with hidden edges shown. The base is an octagon and the faces are isosceles triangles.

Octagonal Pyramid

Illustration of a right octagonal pyramid with hidden edges shown. The base is an octagon and the faces…

Illustration of a hollow right octagonal pyramid. The base is an octagon and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Octagonal Pyramid

Illustration of a hollow right octagonal pyramid. The base is an octagon and the faces are isosceles…

Illustration of a right pentagonal pyramid with hidden edges shown. The base is an pentagon and the faces are isosceles triangles.

Pentagonal Pyramid

Illustration of a right pentagonal pyramid with hidden edges shown. The base is an pentagon and the…

Illustration of a right pentagonal pyramid with hidden edges shown. The base is an pentagon and the faces are isosceles triangles.

Pentagonal Pyramid

Illustration of a right pentagonal pyramid with hidden edges shown. The base is an pentagon and the…

Illustration of a right pentagonal pyramid viewed from below with hidden edges shown. The base is an pentagon and the faces are isosceles triangles.

Pentagonal Pyramid

Illustration of a right pentagonal pyramid viewed from below with hidden edges shown. The base is an…

Illustration of a right pentagonal pyramid viewed from below. The base is an pentagon and the faces are isosceles triangles.

Pentagonal Pyramid

Illustration of a right pentagonal pyramid viewed from below. The base is an pentagon and the faces…

Illustration of 2 similar right pentagonal pyramids with hidden edges shown. The height of the pyramid and length of the side of the pentagon (base) on the smaller pentagonal pyramid are one half that of the larger.

Similar Pentagonal Pyramids

Illustration of 2 similar right pentagonal pyramids with hidden edges shown. The height of the pyramid…

Illustration of 2 right pentagonal pyramids with hidden edges shown. The pentagonal bases are congruent, but the height of the smaller pyramid is one half that of the larger.

2 Right Pentagonal Pyramids

Illustration of 2 right pentagonal pyramids with hidden edges shown. The pentagonal bases are congruent,…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles. The height of the pyramid is much larger then the length and width of the base.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of 2 right rectangular pyramids with hidden edges shown. The rectangular bases are congruent, but the height of the smaller pyramid is one half that of the larger.

2 Right Rectangular Pyramids

Illustration of 2 right rectangular pyramids with hidden edges shown. The rectangular bases are congruent,…

Illustration of a non-right, or skewed, rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Skewed Rectangular Pyramid

Illustration of a non-right, or skewed, rectangular pyramid with hidden edges shown. The base is a rectangle…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a hollow right rectangular pyramid. The base is a rectangle and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Rectangular Pyramid

Illustration of a hollow right rectangular pyramid. The base is a rectangle and the faces are isosceles…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Daffodils with women's faces.

Daffodil Face

Daffodils with women's faces.

A decorative banner with children's faces.

Children Banner

A decorative banner with children's faces.

The faces of Little Red Riding Hood and the Big Bad Wolf, as they meet in the woods.

Little Red Riding Hood and Big Bad Wolf

The faces of Little Red Riding Hood and the Big Bad Wolf, as they meet in the woods.

"Extinction angles on the (001) faces of the lime-soda feldspars." -Johannsen, 1908

Extinction Angles

"Extinction angles on the (001) faces of the lime-soda feldspars." -Johannsen, 1908

"Extinction angles on the (010) faces of the lime-soda feldspars." -Johannsen, 1908

Extinction Angles

"Extinction angles on the (010) faces of the lime-soda feldspars." -Johannsen, 1908

"Observe: That when drawn above the level of the eye, the bottom faces can be seen. (Boxes H, C and I.) That when drawn below the level of the eye, the top faces can be seen. (Boxes F, B and G.) That when drawn at the left of the eye, the right faces can be seen (Boxes H, D and F)> That when drawn at the right of the eye, the left faces can be seen. (Boxes I, E and G.)" -Foster, 1921

Positioning

"Observe: That when drawn above the level of the eye, the bottom faces can be seen. (Boxes H, C and…

"Jacobs evaporator consists of a plain rectangular shallow pan of any convenient length and width, made with a sheet metal bottom and wooden sides. The side pieces are grooved or notched on the inner faces to receive thin board partitions or divisions, extending from side to side, and separating the pan into any convenient number of compartments. These partitions rest loosely upon the bottom, allowing the juice to flow under from one division to the other, while the scum which rises to the surface as the juice moves slowly along, is held back The division boards fit loosely in the grooves in the sides, and may be changed or removed at pleasure." -Commissioner, 1865

Jacobs Pan

"Jacobs evaporator consists of a plain rectangular shallow pan of any convenient length and width, made…

Founded in AD 1093, it remains a centre for Christian worship today. It is generally regarded as one of the finest examples of a Norman cathedral in Europe and has been designated a <abbr title="United Nations Educational, Scientific and Cultural Organization">UNESCO</abbr> World Heritage Site along with nearby Durham Castle, which faces it across Palace Green, high above the River Wear.

Durham Cathedral from the Wear

Founded in AD 1093, it remains a centre for Christian worship today. It is generally regarded as one…

Founded in AD 1093, it remains a centre for Christian worship today. It is generally regarded as one of the finest examples of a Norman cathedral in Europe and has been designated a UNESCO World Heritage Site along with nearby Durham Castle, which faces it across Palace Green, high above the River Wear.

Durham Cathedral

Founded in AD 1093, it remains a centre for Christian worship today. It is generally regarded as one…

The clamp has two horizontal arms at the side, the lower arm carrying a screw that, by means of the handle, can be screwed up tight against the under side of the bench. The vise is of steel and has two jaws having roughened faces to give a good bite or hold on the work when placed between the jaws.

Hand Vise, Clamped to Bench

The clamp has two horizontal arms at the side, the lower arm carrying a screw that, by means of the…

The guanaco (Lama guanicoe) is a camelid animal native to South America that stands between 107 and 122 centimeters (3.5 and 4 feet) at the shoulder and weighs about 90 kg (200 lb). The colour varies very little, ranging from a light brown to dark cinnamon and shading to white underneath. Guanacos have grey faces and small straight ears. They are extremely striking with their large, alert brown eyes, streamlined form, and energetic pace. They are particularly ideal for keeping in large groups in open parklands.

Guanaco

The guanaco (Lama guanicoe) is a camelid animal native to South America that stands between 107 and…

The Great Sphinx is a statue with the face of a man and the body of a lion. Blocks of stone weighing upwards of 200 tons were quarried in the construction phase to build the adjoining Sphinx Temple. It is located on the west bank of the Nile River within the confines of the Giza pyramid field. The Great Sphinx faces due east, with a small temple between its paws.

Ruins of the Sphinx Temple

The Great Sphinx is a statue with the face of a man and the body of a lion. Blocks of stone weighing…

The Great Sphinx is a statue with the face of a man and the body of a lion. Blocks of stone weighing upwards of 200 tons were quarried in the construction phase to build the adjoining Sphinx Temple. It is located on the west bank of the Nile River within the confines of the Giza pyramid field. The Great Sphinx faces due east, with a small temple between its paws.

Plan of the Sphinx Temple

The Great Sphinx is a statue with the face of a man and the body of a lion. Blocks of stone weighing…

Piers and columns sustained the roofs for chambers that were too wide for single lintels, and produced, in halls like those of Karnak, of the Ramesseum, or of Denderah, a stupendous effect by their height, massiveness, number, and color decoration. The simplest piers were plain square shafts. The most striking were those against whose front faces were coarved colossal figures of Osiris, as at Luxor, Medinet Habu, and Karnak.

Osiris Pier, Medinet Habu

Piers and columns sustained the roofs for chambers that were too wide for single lintels, and produced,…

Hedera (English name ivy, plural ivies) is a genus of 15 species of climbing or ground-creeping evergreen woody plants in the family Araliaceae, native to the Atlantic Islands, western, central and southern Europe, northwestern Africa and across central-southern Asia east to Japan. On suitable surfaces (trees and rock faces), they are able to climb to at least 25&ndash;30 metres above the basal ground level.

Hedera colchica

Hedera (English name ivy, plural ivies) is a genus of 15 species of climbing or ground-creeping evergreen…

The Cathedral Church of Christ, Blessed Mary the Virgin and St. Cuthbert of Durham, commonly referred to as Durham Cathedral, in the city of Durham, England, was founded in AD 1093 and remains a center for Christian worship today. It is generally regarded as one of the finest examples of a Norman cathedral and has been designated a UNESCO World Heritage Site along with nearby Durham Castle, which faces it across Palace Green, high above the River Wear.

Plan of Durham Cathedral

The Cathedral Church of Christ, Blessed Mary the Virgin and St. Cuthbert of Durham, commonly referred…

An illustration of an octahedral crystal. An octahedron is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

Octahedral Crystal

An illustration of an octahedral crystal. An octahedron is a polyhedron with eight faces. A regular…

The rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron.

Rhombic Dodecahedron

The rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid,…

The deadbeat has a second face on the pallets, called the 'locking' face, with a curved surface concentric with the pivot that the anchor turns on. When an escape wheel tooth is resting against one of these faces, its force is directed through the pivot axis, so it gives no impulse to the pendulum, allowing it to swing freely. During most of the pendulum's swing, the tooth is in this locked position. Near the bottom of the pendulum's swing the tooth slides off the locking face onto the slanted 'impulse' face of the pallet, allowing the escape wheel to turn and give the pendulum a push, before dropping off the pallet. The drag of the escape tooth on the locking face does add a small amount of friction to the pendulum's swing (this is called a frictional rest type escapement), but it is usually negligible. In contrast to the backward slant of the anchor escape wheel teeth, the deadbeat escape wheel teeth usually slant forward to ensure that the tooth makes contact with the locking face of the pallet, preventing recoil.

Deadbeat Escapement

The deadbeat has a second face on the pallets, called the 'locking' face, with a curved surface concentric…

In some temples the pillars have, in lieu of capital, the face of a goddess, probably of Isis, with a drooping sacerdotal hood, and supporting a temple on the head. This face is repeated on four sides of the circular shaft.

Capital in the Temple at Denderah

In some temples the pillars have, in lieu of capital, the face of a goddess, probably of Isis, with…

The structural tendency which prevails in the capitals of all orders to change from the circular form of the shaft into the square is modified in the Ionic by the voluted nature of the capital, and in the Corinthian by representations of vegetable life.

Corinthian Capital

The structural tendency which prevails in the capitals of all orders to change from the circular form…

The Corinthian cornice is only distinguished from the Ionic by its mutules and modillions, which take the place of the dentels in the latter style. They are fewer in number, but richer and more ornamented, as well as more projecting.

Corinthian Cornice

The Corinthian cornice is only distinguished from the Ionic by its mutules and modillions, which take…

St Mark's Campanile is the bell tower of St Mark's Basilica in Venice, Italy, located in the square (piazza) of the same name. It is a recognizable symbol of the city. The tower is 98.6 meters tall, and stands alone in a corner of St Mark's Square, near the front of the basilica. It has a simple form, the bulk of which is a plain brick shaft, 12 meters on a side and 50 meters tall, above which is the arched belfry, housing five bells. The belfry is topped by a cube, alternate faces of which show walking lions and the female representation of Venice (la Giustizia: Justice). The tower is capped by a pyramidal spire, at the top of which sits a golden weathervane in the form of the archangel Gabriel. The campanile reached its present form in 1514. As it stands today, however, the tower is a reconstruction, completed in 1912 after the collapse of 1902.

St. Mark's Campanile

St Mark's Campanile is the bell tower of St Mark's Basilica in Venice, Italy, located in the square…

Cassiterite is a tin oxide mineral, SnO<sub>2</sub>. It is generally opaque but is translucent in thin crystals. Its luster and multiple crystal faces produce a desirable gem. Cassiterite is the chief ore of tin today.

Cassiterite

Cassiterite is a tin oxide mineral, SnO2. It is generally opaque but is translucent in thin crystals.…

Cassiterite is a tin oxide mineral, SnO<sub>2</sub>. It is generally opaque but is translucent in thin crystals. Its luster and multiple crystal faces produce a desirable gem. Cassiterite is the chief ore of tin today.

Cassiterite

Cassiterite is a tin oxide mineral, SnO2. It is generally opaque but is translucent in thin crystals.…

Cassiterite is a tin oxide mineral, SnO<small><sub>2</sub></small>. It is generally opaque but is translucent in thin crystals. Its luster and multiple crystal faces produce a desirable gem. Cassiterite is the chief ore of tin today.

Cassiterite

Cassiterite is a tin oxide mineral, SnO2. It is generally opaque but is translucent in thin crystals.…

An illustration of the floor plan of Durham Cathedral. The Cathedral Church of Christ, Blessed Mary the Virgin and St Cuthbert of Durham, commonly referred to as Durham Cathedral, in the city of Durham, England, was founded in AD 1093 and remains a centre for Christian worship today. It is generally regarded as one of the finest examples of a Norman cathedral and has been designated a UNESCO World Heritage Site along with nearby Durham Castle, which faces it across Palace Green, high above the River Wear.

Durham Cathedral

An illustration of the floor plan of Durham Cathedral. The Cathedral Church of Christ, Blessed Mary…

An illustration of a woman with braids.

Woman with Braids

An illustration of a woman with braids.

Diagram used to prove the theorem: "Every point in a plane which bisects a dihedral angle is equidistant from the faces of the angle"

Plane Bisecting Dihedral Angle

Diagram used to prove the theorem: "Every point in a plane which bisects a dihedral angle is equidistant…

Diagram used to prove the theorem: "The sum of two face angles of a trihedral angle is greater than the third."

Face Angles of Trihedral Angle

Diagram used to prove the theorem: "The sum of two face angles of a trihedral angle is greater than…

Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less than four right angles."

Face Angles of Convex Polyhedral Angle

Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less…

Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal respectively to three face angles of the other , are either equal or symmetrical."

Symmetrical or Equal Trihedral Angles

Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal…

Diagram used to prove the theorem: "Two prisms are equal when the three faces about a trihedral of one are equal respectively to the three faces about a trihedral of the other, and similarly arranged."

Two Equal Prisms

Diagram used to prove the theorem: "Two prisms are equal when the three faces about a trihedral of one…

Diagram used to prove the theorem: "The opposite faces of a parallelopiped are equal and parallel."

Equal and Parallel Opposite Faces of a Parallelopiped

Diagram used to prove the theorem: "The opposite faces of a parallelopiped are equal and parallel."

Illustration of a regular octahedron. A polyhedron with eight equal faces.

Regular Octahedron

Illustration of a regular octahedron. A polyhedron with eight equal faces.

Illustration of a the bottom half of a regular dodecahedron. A regular dodecahedron is a polyhedron with twelve equal pentagonal faces.

Bottom Half of a Regular Dodecahedron

Illustration of a the bottom half of a regular dodecahedron. A regular dodecahedron is a polyhedron…

Illustration of a regular dodecahedron. A regular dodecahedron is a polyhedron with twelve equal pentagonal faces.

Regular Dodecahedron

Illustration of a regular dodecahedron. A regular dodecahedron is a polyhedron with twelve equal pentagonal…

An illustration of a group of male faces.

Faces of a Group of Men

An illustration of a group of male faces.