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Solutions for outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Outline Solution Tangram Card

Solutions for outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus,…

Solutions for outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Outline Solution Tangram Card #2

Solutions for outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces.…

Silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Tangram Card

Silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces. Tangrams,…

Silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Tangram Card #2

Silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams, invented by the…

Silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Birds Silhouette Tangram Card

Silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from tangram pieces.…

Silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Boats Silhouette Tangram Card

Silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams, invented by…

Silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Buildings Silhouette Tangram Card

Silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams, invented by…

Silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Fish Silhouette Tangram Card

Silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made from tangram…

Silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture, cormorant) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Florida Birds Silhouette Tangram Card

Silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture, cormorant)…

Silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Household Items Silhouette Tangram Card

Silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made from tangram pieces.…

Silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card

Silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by the Chinese,…

Silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #2

Silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented by the…

Silhouette outlines of people (woman standing, water skier, woman kneeling, man walking) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #3

Silhouette outlines of people (woman standing, water skier, woman kneeling, man walking) made from tangram…

Silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #4

Silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram pieces. Tangrams,…

Silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #5

Silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made from tangram…

Silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Tangram Card #6

Silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams, invented by the…

Silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Sea Animals Silhouette Tangram Card

Silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from tangram pieces.…

Silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Tangram Card

Silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus,…

Illustration of a regular nonagon. A nonagon is a closed geometric figure with 9 sides. A regular nonagon has 9 equal sides and 9 equal angles.

Regular Nonagon

Illustration of a regular nonagon. A nonagon is a closed geometric figure with 9 sides. A regular nonagon…

Illustration of a nonregular/irregular convex nonagon. A nonagon is a closed geometric figure with 9 sides.

Irregular Convex Nonagon

Illustration of a nonregular/irregular convex nonagon. A nonagon is a closed geometric figure with 9…

Illustration of a nonregular/irregular convex nonagon. A nonagon is a closed geometric figure with 9 sides.

Irregular Convex Nonagon

Illustration of a nonregular/irregular convex nonagon. A nonagon is a closed geometric figure with 9…

Illustration of a nonregular/irregular convcave nonagon. A nonagon is a closed geometric figure with 9 sides.

Irregular Concave Nonagon

Illustration of a nonregular/irregular convcave nonagon. A nonagon is a closed geometric figure with…

Illustration of a nonregular/irregular convcave nonagon. A nonagon is a closed geometric figure with 9 sides.

Irregular Concave Nonagon

Illustration of a nonregular/irregular convcave nonagon. A nonagon is a closed geometric figure with…

Illustration of a nonregular/irregular convcave nonagon. A nonagon is a closed geometric figure with 9 sides.

Irregular Concave Nonagon

Illustration of a nonregular/irregular convcave nonagon. A nonagon is a closed geometric figure with…

Illustration of 2 regular congruent nonagons that have the same center. One nonagon has been rotated 20° in relation to the other.

2 Congruent Rotated Nonagons

Illustration of 2 regular congruent nonagons that have the same center. One nonagon has been rotated…

Illustration of a regular nonagon inscribed in an equilateral triangle. This could also be described as an equilateral triangle circumscribed about a regular nonagon.

Nonagon Inscribed in a Triangle

Illustration of a regular nonagon inscribed in an equilateral triangle. This could also be described…

Illustration of a regular nonagon inscribed in a circle. This could also be described as a circle circumscribed about a regular nonagon.

Nonagon Inscribed in a Circle

Illustration of a regular nonagon inscribed in a circle. This could also be described as a circle circumscribed…

Illustration of a circle inscribed in a regular nonagon. This could also be described as a regular nonagon circumscribed about a circle.

Circle Inscribed in a Nonagon

Illustration of a circle inscribed in a regular nonagon. This could also be described as a regular nonagon…

Illustration of an equilateral triangle inscribed in a regular nonagon. This could also be described as a a regular nonagon circumscribed about an equilateral triangle.

Triangle Inscribed in a Nonagon

Illustration of an equilateral triangle inscribed in a regular nonagon. This could also be described…

Diagram used to prove the theorem: "If a pyramid is cut by a plane parallel to the base, the edges are divided proportionally, and the section is a polygon similar to the base."

Pyramid Cut By Plane

Diagram used to prove the theorem: "If a pyramid is cut by a plane parallel to the base, the edges are…

Illustration of a pentagon with sides measuring 6 2/3', 4 1/2', 5 1/3', 4 3/4', and 9 5/12'.

Pentagon With Sides Labeled

Illustration of a pentagon with sides measuring 6 2/3', 4 1/2', 5 1/3', 4 3/4', and 9 5/12'.

The Battle of Fredericksburg was fought in and around Fredericksburg, Virginia from December 11 to December 15, 1862 between General Robert E. Lee's Confederate Army of Northern Virginia and the Union Army of the Potomac, commanded by Major General Ambrose E. Burnside. It is remembered as one of the most one-sided battles of the Civil War.

Battle of Fredericksburg

The Battle of Fredericksburg was fought in and around Fredericksburg, Virginia from December 11 to December…

Illustration used to prove "The sum of all the angles of any polygon is twice as many right angles as the polygon has sides, less four right angles."

Sum of Interior Angles of a Polygon Proof

Illustration used to prove "The sum of all the angles of any polygon is twice as many right angles as…

Illustration used to prove "If the sides of any polygon are prolonged in succession one way, no two adjacent sides being prolonged through the same vertex, the sum of the exterior angles thus formed is four right angles."

Sum of Exterior Angles of a Polygon Proof

Illustration used to prove "If the sides of any polygon are prolonged in succession one way, no two…

Illustration of a design made by 7 hexagons with adjacent sides.

Design Consisting of 7 Hexagons

Illustration of a design made by 7 hexagons with adjacent sides.

Illustration of a large hexagon with an interior design made by 7 hexagons with adjacent sides.

Large Hexagon Design Consisting of 7 Hexagons

Illustration of a large hexagon with an interior design made by 7 hexagons with adjacent sides.

Illustration of a parallelogram with diagonals AC and BD intersecting at point O.

Parallelogram With Diagonals

Illustration of a parallelogram with diagonals AC and BD intersecting at point O.

Illustration used to prove the theorem "Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other."

2 Equal Parallelograms

Illustration used to prove the theorem "Two parallelograms are equal if two sides and the included angle…

Illustration used to prove the theorem "The line bisecting one of the non parallel sides of a trapezoid and parallel to the bases bisects the other of the non parallel sides also."

Line Bisecting Trapezoid Sides

Illustration used to prove the theorem "The line bisecting one of the non parallel sides of a trapezoid…

"Gyrostat. An instrument for illustrating the dynamics of rotation, composed of a box or case having a sharp bearing-edge in the form of a regular polygon, and containing a fly-wheel having its center and its direction of rotation in the plane of the bearing-edge." -Whitney, 1911

Gyrostat

"Gyrostat. An instrument for illustrating the dynamics of rotation, composed of a box or case having…

Color flag of Isle of Man. Red with the Three Legs of Man emblem (Trinacria), in the center; the three legs are joined at the thigh and bent at the knee; in order to have the toes pointing clockwise on both sides of the flag, a two-sided emblem is used.

Flag of Isle of Man, 2009

Color flag of Isle of Man. Red with the Three Legs of Man emblem (Trinacria), in the center; the three…

Black and white outline flag of Isle of Man. Red with the Three Legs of Man emblem (Trinacria), in the center; the three legs are joined at the thigh and bent at the knee; in order to have the toes pointing clockwise on both sides of the flag, a two-sided emblem is used

Flag of Isle of Man, 2009

Black and white outline flag of Isle of Man. Red with the Three Legs of Man emblem (Trinacria), in the…

Illustration of a quadrilateral circumscribed about a circle. This could also be described as a circle inscribed in a quadrilateral.

Quadrilateral Circumscribed About a Circle

Illustration of a quadrilateral circumscribed about a circle. This could also be described as a circle…

"Chestnut-sided Warbler, Dendroica pensylvanica. Back streaked with black and pale yellow (sometimes ashy or whitish); whole crown pure yellow, immediately bordered with white, then enclosed with black; sides of head and neck and whole under parts pure white, former with an irregular black crescent before the eye, one horn extending backward over the eye to border the yellow crown and be dissipated on the sides of the nape, the other reaching downward and backward to connect with a chain of pure chestnut streaks that run the whole length of the body, the under eyelid and auriculars being left white; wing-bands generally fused into one large patch, and, like the edging of the inner secondaries, much tinged with yellow; tail-spots white, as usual; bill blackish, feet brownish." Elliot Coues, 1884

Chestnut-sided Warbler

"Chestnut-sided Warbler, Dendroica pensylvanica. Back streaked with black and pale yellow (sometimes…

This is the Plan of Cathedral at Aix–la–Chapelle in Aachen, Germany. It is an example of Romanesque and Gothic architecture in Germany. It was built in AD 796. The scale is in feet. "With the exception of the church built at Trèves (There) by the empress Helena, of which small portions can still be traced in the cathedral, there are no remains of earlier date than the tomb–house built by Charlemagne at Aachen (Aix–la–Chapelle), which, though much restored in the 19th century, is still in good preservation. It consists [...] of an octagonal domed hall surrounded by aisles in two [stories], both vaulted; externally the structure is a polygon of sixteen sides, about 105 ft. in diameter, and it was preceded by a porch flanked by turrets."

Plan of Cathedral at Aix-la-Chapelle, AD 796

This is the Plan of Cathedral at Aix–la–Chapelle in Aachen, Germany. It is an example of…

The Villa Farnese, also known as Palazzo Farnese or Villa Caprarola, is a mansion in the town of Caprarola in the province of Viterbo, Northern Lazio, Italy, approximately 50 kilometres (35 miles) north-west of Rome. The Villa Farnese is a massive Renaissance construction begun in the early 1520s by Antonio da Sangallo, opening to the Monte Cimini, a range of densely wooded volcanic hills. It has a five-sided plant, and is built in reddish gold stone; buttresses support the piano nobile above, with two floors above again housing an almost complete two-story villa in itself. As a centerpiece of the vast Farnese holdings, it has always been more than a villa in the ordinary agricultural or pleasure senses. "Another school, which displays a still stricter imitation of classical forms than that of which Bramante was the founder, was represented and advocated by Giacomo Barozzio, who is known under the name of Vignola (1507- 1573). This architect, by his works and his great influence on his contemporaries and successors, and the effect of his example is, like Palladio's, to be traced not only in the architectural bias of his own times, but also in the course of history of the eighteenth century. This result was principally brought about by means of his book on the five columnar orders of antiquity, and this treatise has been regarded as an authority down to the latest times. His most noteworthy construction is the Castle of Caprarola, between Rome and Viterbo."

Farnese Palace at Rome

The Villa Farnese, also known as Palazzo Farnese or Villa Caprarola, is a mansion in the town of Caprarola…

"Dafila. Pin-tail Ducks. Tail (in adult male) narrow, cuneate, when fully developed nearly as long as wing, the 2 central feathers long-exserted, linear-acute: in female and young the tail merely tapering, with acute feathers; tail-feathers 16, including the long middle pair. Bill shorter than head, longer than tarsus, nearly parallel sided, widening a little to the end, the nail small, the narrow nostrils high up in basal third of bill. Feathers of cheeks sweeping in strongly convex outline along side of upper mandible, beyond those on side of lower mandible. Wing acute, the 1st and 2d primaries subequal and longest, rest rapidly graduated. Neck unusually long and slender, and form less "stocky" than that of most ducks. Sexes and young very unlike in color, even to the wing-markings, as well as in shape of tail. Bill and feet dark. Under parts white or whitish." Elliot Coues, 1884

Pin-tail Duck Head

"Dafila. Pin-tail Ducks. Tail (in adult male) narrow, cuneate, when fully developed nearly as long as…

Silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Tangram Card #2

Silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Solution Tangram Card

Solutions for silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces.…

Solutions for silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Solution Tangram Card #2

Solutions for silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Birds Silhouette Solution Tangram Card

Solutions for silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from…

Solutions for silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Boats Silhouette Solution Tangram Card

Solutions for silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Buildings Silhouette Solution Tangram Card

Solutions for silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Fish Silhouette Solution Tangram Card

Solutions for silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made…

Solutions for silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture, cormorant) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Florida Birds Silhouette Solution Tangram Card

Solutions for silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture,…

Solutions for silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Household Items Silhouette Solution Tangram Card

Solutions for silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made…

Solutions for silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card

Solutions for silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by…

Solutions for silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #2

Solutions for silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented…

Solutions for silhouette outlines of people (woman standing, water skier, woman kneeling, man walking) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #3

Solutions for silhouette outlines of people (woman standing, water skier, woman kneeling, man walking)…

Solutions for silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #4

Solutions for silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram…