Leaves - simple/alternate; edge somewhat irregularly very sharp-toothed. Outline - rounded, often very one-sided. Apex - pointed. Base - strongly heart-shaped. Leaf - usually about three to four inches wide, four to five inches long; sometimes much larger; rather thick, very smooth and shining above; with small tufts of reddish hairs in the angles of the ribs below; and often with the ribs themselves hairy. Bark - of the trunk very thick; on the young branches dark brown. Fruit - gray-downy, ovate, the size of small peas, clustered on a long stem of which the lower half is joined to half the length of a narrow, leaf-like bract, usually with a tapering base. Found - in rich woods, from British America southward to Virginia and along the Alleghany Mountains and westward. General Information - A straight-trunked tree, sixty to eighty feet high (often unbranching to half its height) and two to four feet in diameter. Its very tough inner bark is used for mats and coarse rope. The wood is white and soft and clear of knots. It is much used for wooden ware, in cabinet-work, and for the paneling of carriages, though now less esteemed than the tulip tree for these uses, owing to its liability to crack in bending.

Genus Tilia, L. (Basswood)

Leaves - simple/alternate; edge somewhat irregularly very sharp-toothed. Outline - rounded, often very…

Leaves - simple/alternate; edge somewhat irregularly very sharp-toothed. Outline - rounded, often very one-sided. Apex - pointed. Base - strongly heart-shaped. Leaf - five to eight inches long; deep green and shining above, beneath velvety and silvery white with purplish ribs. Bark - of the trunk very thick; on the young branches dark brown. Fruit - gray-downy, ovate, the size of small peas, clustered on a long stem of which the lower half is joined to half the length of a narrow, leaf-like bract, usually with a tapering base. Found - in rich woods, from the mountains of Pennsylvania to Georgia and westward.  General Information - A straight-trunked tree, twenty to thirty feet high (often unbranching to half its height) and two to four feet in diameter. Its very tough inner bark is used for mats and coarse rope. The wood is white and soft and clear of knots. It is much used for wooden ware, in cabinet-work, and for the paneling of carriages, though now less esteemed than the tulip tree for these uses, owing to its liability to crack in bending.

Genus Tilia, L. (Basswood)

Leaves - simple/alternate; edge somewhat irregularly very sharp-toothed. Outline - rounded, often very…

Leaves - simple/alternate; edge somewhat irregularly very sharp-toothed. Outline - rounded, often very one-sided. Apex - pointed. Base - strongly heart-shaped. Leaf - two to three inches long; thinner than the T. Americana, deep green and shining above, beneath somewhat downy. Bark - of the trunk very thick; on the young branches dark brown. Fruit - rounded, about one fourth of an inch in diameter, and with the base of the leaf-like bract to which it is attached usually rounded at the base. Found - in rich woods, from New York to Florida and westward..   General Information - A straight-trunked tree, twenty to thirty feet high (often unbranching to half its height) and two to four feet in diameter. Its very tough inner bark is used for mats and coarse rope. The wood is white and soft and clear of knots. It is much used for wooden ware, in cabinet-work, and for the paneling of carriages, though now less esteemed than the tulip tree for these uses, owing to its liability to crack in bending.

Genus Tilia, L. (Basswood)

Leaves - simple/alternate; edge somewhat irregularly very sharp-toothed. Outline - rounded, often very…

Leaves - simple; alternate; edge toothed. Outline - oval. Apex - pointed. Base - rounded or slightly pointed. Leaf - four to six inches long, one and a half to two and a half inches wide, soon becoming smooth, with a decided acid taste (whence the name). Bark - of trunk, rough and deeply furrowed. Flowers - white, in loose and long one-sided clusters. Found - from Pennsylvania and Ohio southward, chiefly along the Alleghany Mountains, and usually in dry, gravelly soil. General Information - A tree forty to sixty feet high, with hard, close-grained wood, which is used for the handles of tools, the bearings of machinery, etc. Name from two Greek words meaning sour and tree.

Genus oxydendrum, D. C. (Sorrel Tree)

Leaves - simple; alternate; edge toothed. Outline - oval. Apex - pointed. Base - rounded or slightly…

Leaves - simple; alternate; edge sharply and often doubly toothed. Outline - oval or egg-shaped, or inversely egg-shaped; always one-sided. Apex - taper-pointed. Base - rounded, or slightly heart-shaped, rarely pointed. Leaf/Stem - about one quarter inch long. Buds - smooth. Leaf - usually two to five inches long, and one and a half to two and a half wide; somewhat downy when young, afterward roughish below; above, either rough in one direction, or (especially if taken from the ends of the long branches) smooth and shining. Ribs - prominent and straight. Bark - of the branches not marked with "corky ridges"; branchlets, smooth. Seeds - flat egg-shaped or oval, winged and fringed all around. Last of May.  Found - northward to Southern Newfoundland; southward to Florida; westward to the Black Hills of Dakota. Toward the western and southwestern limits it is found only in the river-bottom lands. General Information - One of the very noblest of American trees, eighty feet or more in height, and of strong and graceful proportions. The trunk divides at a slight angle into two or three arching limbs, and these again into many smaller curving and drooping branches. The trunk and the larger branches are often heavily fringed with short and leafy boughs. The tree is widely cultivated. Streets planted with it become columned and arched like the aisles of a Gothic cathedral. The wood is hard, and very tough from the interlacing of its fibers. It is used in making saddle-trees and for wheel-hubs, and is now largely exported to England to be used in boat- and ship-building. One day I found four men in a stone quarry, working with iron bars and rollers over a heavy flat slab. They were moving the stone slowly up a narrow plant into their cart. "John, " I said, "I would not think that board could hold a stone of such weight two minutes. Is it hickory?" "No sir, " said John, " that's an elm plank; it can't break." It did not break. It was one of the woods which the Deacon used in building his famous "one-hoss shay": So the deacon inquired of the village folk Where he could find the strongest oak, That count n't be split nor bent nor broke, - That was for spokes and floor and sills; He sent for lancewood to make the thills; The cross-bars were ash, from the straightest trees; The panels of whitewood, that cuts like cheese, But lasts like iron for thing like these; The hubs of logs from the Settler's Ellum; - Last of its timber, - they could n't sell 'em, Never an axe had seen their chips, And the wedges flew from between their lips, Their blunt ends frizzled like celery-tips;" --Oliver Wendell Holmes

Genus Ulmus, L. (Elm)

Leaves - simple; alternate; edge sharply and often doubly toothed. Outline - oval or egg-shaped, or…

Leaves - simple; alternate; edge sharp-toothed, but entire at the base. Outline - obliquely egg-shaped, very one-sided. Apex - taper-pointed. Base - usually somewhat heart-shaped, or slightly pointed or rounded. Leaf - two to three inches long, one to two inches wide; rough. Bark - of the trunk, rough; sometimes much crumpled. Fruit - about the size of a pea; solitary; drooping from the bases of the leaf-stems, on stems once or twice as long as the leaf-stems; rounded; pulp thin, sweet, and edible; purplish red; ripe in September. Found - from the valley of the St. Lawrence westward and southward. General Information - A tree fifteen to thirty feet high (but much larger at the South), most common, and reaching its finest growth in the basin of the Mississippi. It is very variable in size and in the shape and texture of its leaves. Variety crassifolia is sometimes found, in which the leaves are thicker and usually toothed all around. Hackberry is an ancient name for lotus.

Genus Celtis, L. (Hackberry)

Leaves - simple; alternate; edge sharp-toothed, but entire at the base. Outline - obliquely egg-shaped,…

Leaves - simple; alternate; edge coarsely and somewhat irregularly toothed; or, at times, unequally and very variously two- to three-lobed. Outline - egg shape. Apex - long pointed (when there are side lobes their ends may be rounded). Base - heart-shaped, and more or less one-sided. Leaf - three to seven inches long, rather thin, rough above and downy below, sometimes becoming very smooth. The ribs are very distinct, and whitish below. Bark - grayish, and much broken. Berries - about the size and shape of small blackberries. When ripe they are very dark purple (nearly black), juicy, and sweet. July. Found - from Western New England, westward and southward. General Information - A tree fifteen to twenty-five feet high; in the Middle and Eastern States much larger. It is most common and reaches its finest growth along the lower Ohio and Mississippi rivers. Its wood is valuable, light, and soft, but very durable in contact with the ground. The White Mulberry (M. alba) is sometimes found around old houses and in fields. It was introduced from China, and was formerly cultivated as food for silk-worms. Its leaves resemble those of the Red Mulberry in shape, but are smooth and shining.

Genus Morus, L. (Mulberry)

Leaves - simple; alternate; edge coarsely and somewhat irregularly toothed; or, at times, unequally…

Leaves - simple; alternate; edge sharp-toothed, with small and remote teeth. Outline - oval or egg-shape. Apex - taper-pointed. Base - rounded. Leaf - three to six inches long, about half as wide; a very "finished" leaf; when young, fringed with soft white hairs; becoming smooth and polished; with distinct and straight unbranched side-ribs, ending in the teeth of the edge. The dead, bleached leaves often cling thickly to the branches throughout the winter. Bark - of the trunk, light gray, smooth, and unbroken. Fruit - a small four-celled prickly burr, splitting half-way to the base when ripe, and with two sweet, three-sided nuts in each shell.Found - in rich woods, Nova Scotia to Florida and westward, with it finest growth on the "bluffs" of the lower Mississippi basin. General Information - Large stately trees, with spreading branches and a delicate spray, fifty to eighty feet high. The wood is hard and very close-grained, and is used largely in the making of chairs, handles, plan-stocks, shoe-lasts, and for fuel. When the tree is not crowded, it sends out its nearly horizontal or drooping branches as low as from ten to thirty feet above the ground. Lumber-men make the distinction of "red Beech" and "White Beech," claiming that the former is harder, with a redder and thicker heart-wood.  Among woodsmen and the Indians, the Beech is said to be a favorite refuge in thunder-storms. They claim that it is scarcely ever struck by lightning. Lumber-men claim a difference in the quality of trees which retain their leaves and those which shed them. "Said a neighbor to me one day: 'You might 'a knowed that beech would split hard with all the dry leaves on it,' -- and it did. That was the first I'd ever heard of the sign, but I've never known it fail since."

Genus Fagus, L. (Beech)

Leaves - simple; alternate; edge sharp-toothed, with small and remote teeth. Outline - oval or egg-shape.…

Leaves - simple; indeterminate in position because of their closeness, but arranged along the branches in five-leaved bunches, with their sheaths lacking or very short, excepting when young. Leaf - needle-shape, three to five inches long, light bluish-green, three-sided, soft, and very slender. Cones - four to six inches long, cylinder-shape, about one inch in diameter before the scales loosen; solitary, drooping, slightly curved. Scales - thin, without prickles. Bark - of trunk, lighter than in the other pines; in young trees smooth, and only slightly rough when older. Found - from Newfoundland to the Winnipeg River, southward through the Northern States, and along the Alleghany Mountains to Georgia. Its finest growth is in the region of the Great Lakes. General Information - An evergreen tree of soft and delicate foliage, eighty to one hundred and fifty feet high; one of the most valuable timber trees of any country. The wood is clear of knots, straight-grained, and soft, and is used in immense quantities for building and many kinds of manufacturing. The branches are given off in flat, regular whorls around the straight trunk.

Genus Pinus, L. (Pine)

Leaves - simple; indeterminate in position because of their closeness, but arranged along the branches…

Leaves - simple; indeterminate in position because of their closeness; arranged singly and thickly all around the branchlets. Leaf - needle-shape, five twelfths to two thirds of an inch long, four-sided, mostly straight, stiff, and sharp; dark green. Cones - three fourths to one and one half inches long, drooping at the ends of the branchlets; broad oval; dark purple when young, becoming reddish-brown as they ripen. Scales - long reverse egg-shape, thin, with a wavy or toothed edge toward their apex. Found - along the Alleghany Mountains from the high peaks of North Carolina to Pennsylvania, through the Northern States, andGeneral Information - An evergreen tree thirty to sixty feet high, with straight, tapering trunk. The wood is light and straight-grained and is used for lumber, for the masts and spars of ships, in building, etc. From its twigs is prepared the "essence of spruce."

Genus Picea, Link. (Spruce)

Leaves - simple; indeterminate in position because of their closeness; arranged singly and thickly all…

Leaves - simple; indeterminate in position because of their closeness; arranged singly all around the branchlets. Leaf - needle-shaped, five twelfths to three fourths of an inch long, four-sided, curved, sharp, rather slender, bluish-green, much lighter than the leaf of the Black Spruce. Bark - lighter than that of the Black Spruce. Cones - one to two inches long, and always in the proportion of about two inches in length to one half or three fourths of an inch in thickness; drooping at the ends of the branchlets; long oval or cylinder-shape; pale green when young, becoming brownish as they ripen. Scales - broad reverse egg-shape, with an entire edge, and rounded or somewhat two-lobed at the apex. Found - in Maine, Northeastern Vermont, Northern Michigan, Minnesota, and far northward, on low ground and in swamps. It is most common north of the United States boundaries. General Information - An evergreen tree, forty to seventy feet high. One of the most important of the Northern timber trees.

Genus Picea, Link. (Spruce)

Leaves - simple; indeterminate in position because of their closeness; arranged singly all around the…

Leaves - simple; indeterminate in position because of their closeness; arranged singly all around the branchlets. Leaf - needle-shaped, five twelfths to three fourths of an inch long, four-sided, curved, sharp, rather slender, bluish-green, much lighter than the leaf of the Black Spruce. Bark - lighter than that of the Black Spruce. Cones - five inches and more in length; about one and a half inches in thickness. Branches and branchlets - heavily drooping, especially in the older trees. Scales - broad reverse egg-shape, with an entire edge, and rounded or somewhat two-lobed at the apex. General Information - This spruce is not a native, but is now very widely cultivated, and is sometimes found escaped from cultivation. It is a finer and large tree than the native spruces.

Genus Picea, Link. (Spruce)

Leaves - simple; indeterminate in position because of their closeness; arranged singly all around the…

Leaves - compound (odd-feathered; leaflets, thirteen to twenty-one); alternate; edge of leaflets sharp-toothed. Outline of leaflet - long egg-shape. Apex - taper-pointed. Base - rounded or slightly heart-shaped, and one-sided. Leaf/Stem - slightly downy. Leaflet/Stem - very short. Leaf - twelve inches long, or more. Leaflets - about two to four inches long; the lower pairs shortest; slightly downy beneath. Bark - blackish and thick. Fruit - about two inches in diameter; rounded; the husk greenish-yellow when ripe, roughly dotted, spongy, decaying without splitting into sections; the nut dark, and deeply and roughly furrowed. October. Found - from Western Massachusetts westward and southward. Its finest growth is west of the Alleghany Mountains. Eastward it is now everywhere scarce.. General Information - A tree thirty to sixty feet high, or often much higher. Its rich, dark-brown heart-wood is of great value, and has been more widely used in cabinet-work, for interior finish, and for gun-stocks than the wood of any other North American tree. Juglans, from two Latin words meaning nut of Jupiter.

Genus Juglans, L. (Walnut)

Leaves - compound (odd-feathered; leaflets, thirteen to twenty-one); alternate; edge of leaflets sharp-toothed.…

The triangle scale has six surfaces for different graduations, and the scales are arranged so that the drawings may be made in any proportion to the actual size.

Triangle Scales

The triangle scale has six surfaces for different graduations, and the scales are arranged so that the…

Square with diagonal drawn.

Square With Diagonal

Square with diagonal drawn.

"By downward corrasion a stream cuts a steep-sided trench of its own width, but weathering, gravitation, and the wash of the rain widen it and make the sides sloping." a, a young V-shaped valley; b and c, deeper; d, flood-plain condition. -Dryer, 1901

Valley Development

"By downward corrasion a stream cuts a steep-sided trench of its own width, but weathering, gravitation,…

Illustration of a square divided into thirds. One third is shaded.

1/3 Square

Illustration of a square divided into thirds. One third is shaded.

Illustration showing two congruent pentagons.

Congruent Pentagons

Illustration showing two congruent pentagons.

Illustration showing a perpendicular bisector of a triangle extended outside of the triangle.

Triangle With Perpendicular Bisector

Illustration showing a perpendicular bisector of a triangle extended outside of the triangle.

Illustration of a quadrilateral with diagonals AC and BD.

Quadrilateral With Diagonals

Illustration of a quadrilateral with diagonals AC and BD.

An illustration showing that the area of a regular polygon is equal to the area of a triangle whose base is equal to the sum of all the sides, and the height a equal to the appotem of the polygon. "The reason of this is that the area of two or more triangles ABC and ADC having a common or equal base b and equal height h are alike."

Area Of Regular Polygon Proof

An illustration showing that the area of a regular polygon is equal to the area of a triangle whose…

An illustration showing how to construct a regular polygon on a given line without resort to its center. "Extend AB to C and, with B as center, draw the half circle ADB. Divide the half circle into as many parts as the number of sides in the polygon, and complete the construction as shown on the illustration."

Construction Of A Regular Polygon On A Line

An illustration showing how to construct a regular polygon on a given line without resort to its center.…

An illustration showing a circle sector with center/central angle v and polygon angle w.

Circle Sector

An illustration showing a circle sector with center/central angle v and polygon angle w.

An illustration showing a circle sector with height of segment h and radius r.

Circle Sector

An illustration showing a circle sector with height of segment h and radius r.

An illustration showing a quadrilateral model that illustrates the following relationships: a:b = c:d, ad = bc, A = B. Product of the means equals the product of the extremes.

Model Of Geometric Proportions

An illustration showing a quadrilateral model that illustrates the following relationships: a:b = c:d,…

An illustration showing a model that illustrates the following relationships: a:b = c:d, ad = bc. Product of the means equals the product of the extremes.

Model Of Geometric Proportions

An illustration showing a model that illustrates the following relationships: a:b = c:d, ad = bc. Product…

An illustration showing a model that illustrates the following relationships: a:b = c:b, ab = c², c = √ab.

Model Of Geometric Proportions

An illustration showing a model that illustrates the following relationships: a:b = c:b, ab = c²,…

An illustration showing a model that illustrates the following relationship: A:B = a:b.

Model Of Geometric Proportions

An illustration showing a model that illustrates the following relationship: A:B = a:b.

An illustration showing a model that illustrates the following relationships: a:x = x:a - x, x = √(a&sup2 + (a/2)&sup2 - a/2).

Model Of Geometric Proportions

An illustration showing a model that illustrates the following relationships: a:x = x:a - x, x = √(a²…

An illustration showing a model of a triangle that illustrates the following relationship: a:c = d:(b - d), d = (a × b) ÷ (c + a), v = v.

Model Of Geometric Proportions In A Triangle

An illustration showing a model of a triangle that illustrates the following relationship: a:c = d:(b…

The Medieval polygonal chair came from Toulouse, France.

Medieval Polygon Arm-Chair

The Medieval polygonal chair came from Toulouse, France.

The Battle of Fredericksburg, 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 Maj. Gen. Ambrose E. Burnside, is remembered as one of the most one-sided battles of the American Civil War.

The Attack on Fredericksburg

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

The Battle of Fredericksburg, 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 Maj. Gen. Ambrose E. Burnside, is remembered as one of the most one-sided battles of the American Civil War.

Scene in Fredericksburg on the Morning of Dec. 12, 1862

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

An illustration of two pyramids. A pyramid is a building where the upper surfaces are triangular and converge on one point. The base of pyramids are usually quadrilateral or trilateral (but generally may be of any polygon shape), meaning that a pyramid usually has three or four sides. A pyramid's design, with the majority of the weight closer to the ground, means that less material higher up on the pyramid will be pushing down from above.

Pyramids

An illustration of two pyramids. A pyramid is a building where the upper surfaces are triangular and…

Some chisels for cutting wood have two bezels, one on each side of the blade, as in the gardener's grafting chisel. Such a double-faced chisel is used for splitting open the limb of a tree.

Box Chisel

Some chisels for cutting wood have two bezels, one on each side of the blade, as in the gardener's grafting…

The Chestnut-sided Warbler, Dendroica pensylvanica, is a New World warbler. They breed in eastern North America and in southern Canada westwards to the Canadian Prairies. They also breed in the Great Lakes region and in the eastern USA. These birds are migratory, wintering in Central America south to northern Colombia, and they are very rare vagrants to western Europe.

Chestnut-sided Warbler

The Chestnut-sided Warbler, Dendroica pensylvanica, is a New World warbler. They breed in eastern North…

Polygonal masonry is a technique of stone construction of the ancient Mediterranean world. True polygonal masonry may be defined as a technique wherein the visible surfaces of the stones are dressed with straight sides or joints, giving the block the appearance of a polygon. This technique is found throughout the Mediterranean and sometimes corresponds to the less technical category of Cyclopean masonry.

Polygonal Masonry

Polygonal masonry is a technique of stone construction of the ancient Mediterranean world. True polygonal…

Circular and polygonal plans appear in a number of Syrian examples of the early sixth century. Their most striking feature is the inscribing of the circle of polygon in a square which forms the exterior outline, and the use of four niches to fill out the corners. This occurs at Kelat Seman, a small double church, perhaps the tomb and chapel of a martyr; in the cathedral at Bozrah, and in the small domical church of St. George at Ezra. These were probably the prototypes of many Byzantine churches like St. Sergius at Constantinople, and San Vitale at Ravenna.

Cathedral at Bosra

Circular and polygonal plans appear in a number of Syrian examples of the early sixth century. Their…

Dioptase is an intense emerald-green to bluish-green copper cyclosilicate mineral. It is transparent to translucent. Its luster is vitreous to sub-adamantine. Its formula is CuSiO<small><sub>3</sub></small>&sdot;H<small><sub>2</sub></small>O (also reported as CuSiO<small><sub>2</sub></small>(OH)<small><sub>2</sub></small>). It has a hardness of 5, the same as tooth enamel. It specific gravity is 3.28&ndash;3.35, and it has two perfect and one very good cleavage directions. Additionally, dioptase is very fragile and specimens must be handled with great care. It is a trigonal mineral, forming 6-sided crystals that are terminated by rhombohedra.

Dioptase

Dioptase is an intense emerald-green to bluish-green copper cyclosilicate mineral. It is transparent…

This Chimaera Head is shown from its front and side view. Found in the corner of an antique three-sided altar.

Chimaera Head

This Chimaera Head is shown from its front and side view. Found in the corner of an antique three-sided…

The Romanesque cushion capital is a design found in a monastery in Lippoldsberg, Germany. The design is a half sphere that is cut by planes below and on the four sides.

Romanesque Cushion Capital

The Romanesque cushion capital is a design found in a monastery in Lippoldsberg, Germany. The design…

The Romanesque Double-Cushion Capital is an 11th century design found in the Rosheim church in France. It is a design of a half sphere that is cut by planes below and on the four sides.

Romanesque Double-Cushion Capital

The Romanesque Double-Cushion Capital is an 11th century design found in the Rosheim church in France.…

The Romanesque Double-Cushion Capital is a design of a half sphere that is cut by planes below and on the four sides.

Romanesque Double-Cushion Capital

The Romanesque Double-Cushion Capital is a design of a half sphere that is cut by planes below and on…

"In the apparatus shown... three forces act on a small body and are allowed to assume a position of equilibrium. A triangle is then constructed with sides parallel respectively to the three forces; it will be found by measurement that the sides are also the lengths proportional to the forces, and as will be seen the arrowheads point concurrently round the triangle.

Polygon of Forces

"In the apparatus shown... three forces act on a small body and are allowed to assume a position of…

Illustration used to show how to inscribe any regular polygon in a given circle.

Construction Of Polygon Inscribed In Circle

Illustration used to show how to inscribe any regular polygon in a given circle.

Illustration used to show how to draw a regular polygon when given a side of the polygon.

Construction Of Regular Polygon

Illustration used to show how to draw a regular polygon when given a side of the polygon.

Illustration of a circle inside of 2 concentric rectangles whose vertices are connected by line segments.

Circle Inside Concentric Rectangles

Illustration of a circle inside of 2 concentric rectangles whose vertices are connected by line segments.

Illustration showing the cone being treated as a many-sided pyramid.

Relation Of Pyramid To Cone

Illustration showing the cone being treated as a many-sided pyramid.

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 double arch.

Double Arch

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 an arch.

Arch

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 triangular double arch.

Triangular Double Arch

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 bear.

Bear

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 camel.

Camel

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 lit candle.

Lit Candle

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 sitting cat.

Sitting Cat

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 cat.

Cat

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 cormorant.

Cormorant

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 cup.

Cup

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 dancer.

Dancer

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 double arrow.

Double Arrow

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