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Illustration of a slanted line segment. A line segment is a section of a line with definite endpoints. The endpoints are marked A and B.

Segment, Slanted Line

Illustration of a slanted line segment. A line segment is a section of a line with definite endpoints.…

Illustration of a slanted line segment. A line segment is a section of a line with definite endpoints. The endpoints are marked A and B.

Segment, Slanted Line

Illustration of a slanted line segment. A line segment is a section of a line with definite endpoints.…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

"The aqueous vapor of the atmosphere precipitated in a crystalline form, and falling to the earth in flakes, each flake consisting of a distinct crystal, or more commonly combinations of separate crystals. The crystals belong to the hexagonal system, and are generally in the form of thin plates and long needles or spiculae; by their different modes of union they present uncounted varieties of very beautiful figures." —Whitney, 1889

Snowflakes as Described by William Scoresby

"The aqueous vapor of the atmosphere precipitated in a crystalline form, and falling to the earth in…

Various geometric solids, mostly rectangular prisms with a cylinder and a hexagonal prism.

Solids

Various geometric solids, mostly rectangular prisms with a cylinder and a hexagonal prism.

"Isometric; tetrahedral. Tetrahedron form." — Ford, 1912

Sphalerite

"Isometric; tetrahedral. Tetrahedron form." — Ford, 1912

"It consists of four isoceles triangular faces which intersect all three of the crystallographic axes, the intercepts on the two horizontal axes being equal. The faces correspond in their position to the alternating faces of the tetragonal pyramid of the first order." — Ford, 1912

Sphenoid

"It consists of four isoceles triangular faces which intersect all three of the crystallographic axes,…

"It consists of four isoceles triangular faces which intersect all three of the crystallographic axes, the intercepts on the two horizontal axes being equal. The faces correspond in their position to the alternating faces of the tetragonal pyramid of the first order. There maybe different sphenoids, depending upon their varying intersections with the vertical axes. There may also be a positive and a negative sphenoid, the combination of the two being represented." — Ford, 1912

Sphenoid, positive and negative

"It consists of four isoceles triangular faces which intersect all three of the crystallographic axes,…

"The Sphenoidal Class corresponds in the Tetragonal system to the Tetrahedral class in the Isometric System. It is characterized by the following symmetry: The three crystallographic axes are axes of binary symmetry, and there are two vertical diagonal planes of symmetry." — Ford, 1912

Symmetry of Sphenoidal class

"The Sphenoidal Class corresponds in the Tetragonal system to the Tetrahedral class in the Isometric…

A sphere is a solid bounded by a uniformly curved surface, every point of which is equally distant from a point within, called the center.

Sphere

A sphere is a solid bounded by a uniformly curved surface, every point of which is equally distant from…

An illustration of a hollow sphere.

Hollow Sphere

An illustration of a hollow sphere.

An illustration of a segment of a sphere.

Segment Of Sphere

An illustration of a segment of a sphere.

A wooden hollow sphere created by using a lathe and wooden templet at a desired diameter.

Wooden Sphere

A wooden hollow sphere created by using a lathe and wooden templet at a desired diameter.

An illustration of a zone of a sphere.

Zone Of Sphere

An illustration of a zone of a sphere.

Illustration of spiral with unequally spaced intervals.

Spiral

Illustration of spiral with unequally spaced intervals.

Illustration of spiral.

Spiral

Illustration of spiral.

Illustration of spiral with unequally spaced intervals.

Spiral

Illustration of spiral with unequally spaced intervals.

Illustration of spiral with unequally spaced intervals.

Spiral

Illustration of spiral with unequally spaced intervals.

Illustration of spiral.

Spiral

Illustration of spiral.

Illustration of spiral with unequally spaced intervals.

Spiral

Illustration of spiral with unequally spaced intervals.

Illustration of spiral with unequally spaced intervals.

Spiral

Illustration of spiral with unequally spaced intervals.

Illustration of spiral with unequally spaced intervals.

Spiral

Illustration of spiral with unequally spaced intervals.

A spiral of Archimedes.

Archimedes spiral

A spiral of Archimedes.

An illustration showing how to construct a spiral with compasses and four centers. "Given the pitch of the spiral, construct a square about the center, with the four sides together equal to the pitch. Prolong the sides in one direction as shown by the figure, the corners are the centers for each arc of the external angles."

Construction Of A Spiral

An illustration showing how to construct a spiral with compasses and four centers. "Given the pitch…

An illustration showing how to construct an arithmetic spiral. "Given the pitch p and angle v, divide them into an equal number of equal parts, say 6; make 01 = 01, 02 = 02, 03 = 03, 04 = 04, 05 = 05, and 06 = the pitch p; then join the points 1, 2, 3, 4, 5 and 6, which will form the spiral required."

Construction Of An Arithmetic Spiral

An illustration showing how to construct an arithmetic spiral. "Given the pitch p and angle v, divide…

A logarithmic spiral.

Hyperbolic spiral

A logarithmic spiral.

A hyperbolic spiral.

Hyperbolic spiral

A hyperbolic spiral.

Lituus spiral.

Lituus spiral

Lituus spiral.

An illustration of a square and triangles within the square. This is an example of a problem that can be used to fine the distances of two inaccessible objects without measuring elevation and whether on a horizontal plane or not.

Square

An illustration of a square and triangles within the square. This is an example of a problem that can…

An illustration used to "square a circumference".

Square And Circle

An illustration used to "square a circumference".

An illustration used to "square a cirleplane".

Square And Circle

An illustration used to "square a cirleplane".

An illustration showing how to construct a square circumscribed about a circle. "Draw the diameters AB and CD at right angles to one another; with the radius of the circle, and A, B, C, and D as centers, draw the four dotted half circles which cross one another in the corners of the square, and thus complete the problem."

Construction Of A Square Circumscribed About A Circle

An illustration showing how to construct a square circumscribed about a circle. "Draw the diameters…

An illustration showing how to construct a square upon a given line. "With AB as radius and A and B as centers, draw the circle arcs AED and BEC. Divide the arc BE in two equal parts at F, and with EF as radius and E as center, draw the circle CFD. Join A and CB and D, C and D, which completes the required square."

Square Constructed Upon A Given Line

An illustration showing how to construct a square upon a given line. "With AB as radius and A and B…

An illustration showing how to construct a square inscribed in a circle. "Draw the diameter AB, and through the center erect the perpendicular CD, and complete the square as shown in the illustration."

Construction Of A Square Inscribed In A Circle

An illustration showing how to construct a square inscribed in a circle. "Draw the diameter AB, and…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts the St. Petersburg Pier.

St. Petersburg Pier

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts the St. Petersburg Pier.

St. Petersburg Pier

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts the St. Petersburg Pier.

St. Petersburg Pier

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts the St. Petersburg Pier.

St. Petersburg Pier

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a standing fox.

Standing Fox

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a standing fox.

Standing Fox

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a standing fox.

Standing Fox

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a standing fox.

Standing Fox

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Staurolite.

Staurolite

Staurolite.

"Orthohombic. Habit prismatic, showing usually a combination of prism with large angle, brachypinacoid, base and macrodome." — Ford, 1912

Staurolite

"Orthohombic. Habit prismatic, showing usually a combination of prism with large angle, brachypinacoid,…

"Monoclinic. Uniform in cruciform twins. Commonly tabular parallel to clinopinacoid. Crystals usually in sheaflike aggregates." — Ford, 1912

Stilbite

"Monoclinic. Uniform in cruciform twins. Commonly tabular parallel to clinopinacoid. Crystals usually…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stingray.

Stingray

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stingray.

Stingray

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stingray.

Stingray

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stingray.

Stingray

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stylized rabbit.

Stylized Rabbit

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stylized rabbit.

Stylized Rabbit

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stylized rabbit.

Stylized Rabbit

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a stylized rabbit.

Stylized Rabbit

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…