A design created by dividing a circle into 4 equal arcs and creating a reflection of each arc toward the center of the circle. (The arcs are inverted.) The design is then repeated (a total of eight times) and rotated 11.25° to create the star-like illustration.

Reflected Arcs Of 8 Circles

A design created by dividing a circle into 4 equal arcs and creating a reflection of each arc toward…

Circular rosette with 3 petals. It is made by rotating circles about a fixed point. The radii of the smaller circles is equal to the distance between the point of rotation and the center of the circle. Thus, the circles meet in the center.

Circular Rosette With 3 Petals

Circular rosette with 3 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular rosette with 6 petals. It is made by rotating circles about a fixed point. The radii of the smaller circles is equal to the distance between the point of rotation and the center of the circle. Thus, the circles meet in the center.

Circular Rosette With 6 Petals

Circular rosette with 6 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular rosette with 12 petals. It is made by rotating circles about a fixed point. The radii of the smaller circles is equal to the distance between the point of rotation and the center of the circle. Thus, the circles meet in the center.

Circular Rosette With 12 Petals

Circular rosette with 12 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular rosette with 24 petals. It is made by rotating circles about a fixed point. The radii of the smaller circles is equal to the distance between the point of rotation and the center of the circle. Thus, the circles meet in the center.

Circular Rosette With 24 Petals

Circular rosette with 24 petals. It is made by rotating circles about a fixed point. The radii of the…

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped decagons and the faces are rectangular.

Star-Shaped Decagonal Prism

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped…

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped decagons and the faces are squares.

Star-Shaped Decagonal Prism

Illustration of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped…

Side view of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped decagons and the faces are squares.

Star-Shaped Decagonal Prism

Side view of a non-regular decagonal prism in the shape of a star. Then ends/bases are made of star-shaped…

Illustration of a 12-point star (24-sided polygon) inscribed in a regular dodecagon. This can also be described as a regular dodecagon circumscribed about a 12-point star (24-sided polygon).

12-Point Star Inscribed In A Dodecagon

Illustration of a 12-point star (24-sided polygon) inscribed in a regular dodecagon. This can also be…

Illustration of a closed concave geometric figure with 16 sides in the shape of a 8-point star.

8-Point Star

Illustration of a closed concave geometric figure with 16 sides in the shape of a 8-point star.

Illustration of a closed concave geometric figure with 18 sides in the shape of a 9-point star.

9-Point Star

Illustration of a closed concave geometric figure with 18 sides in the shape of a 9-point star.

Illustration of a closed concave geometric figure with 20 sides in the shape of a 10-point star.

10-Point Star

Illustration of a closed concave geometric figure with 20 sides in the shape of a 10-point star.

Illustration of a closed concave geometric figure with 24 sides in the shape of a 12-point star.

12-Point Star

Illustration of a closed concave geometric figure with 24 sides in the shape of a 12-point star.

Illustration of an equilateral triangle inscribed in a closed concave geometric figure with 24 sides in the shape of a 12-point star. The two figures are concentric.

Triangle Inscribed In A 12-Point Star

Illustration of an equilateral triangle inscribed in a closed concave geometric figure with 24 sides…

Illustration of a square inscribed in a closed concave geometric figure with 24 sides in the shape of a 12-point star. The two figures are concentric.

Square Inscribed in a 12-Point Star

Illustration of a square inscribed in a closed concave geometric figure with 24 sides in the shape of…

Illustration of a 5-point star inscribed in a circle. This can also be described as a circle circumscribed about a 5-point star.

Star Inscribed In A Circle

Illustration of a 5-point star inscribed in a circle. This can also be described as a circle circumscribed…

Illustration of a 6-point star created by two equilateral triangles (often described as the Star of David) inscribed in a circle. This can also be described as a circle circumscribed about a 6-point star, or two triangles.

Star Inscribed In A Circle

Illustration of a 6-point star created by two equilateral triangles (often described as the Star of…

Illustration of a 6-point star (convex dodecagon) inscribed in a circle. This can also be described as a circle circumscribed about a 6-point star, or convex dodecagon.

Star Inscribed In A Circle

Illustration of a 6-point star (convex dodecagon) inscribed in a circle. This can also be described…

Illustration of a 6-point star (convex dodecagon) inscribed in a large circle and circumscribed about a smaller circle.

Star Inscribed And Circumscribed About Circles

Illustration of a 6-point star (convex dodecagon) inscribed in a large circle and circumscribed about…

Illustration of a 6-point star (convex dodecagon) circumscribed about a circle. This can also be described as a circle inscribed in a 6-point star, or convex dodecagon.

Star Circumscribed About A Circle

Illustration of a 6-point star (convex dodecagon) circumscribed about a circle. This can also be described…

Illustration of an 8-point star, created by two squares at 45° rotations, inscribed in a circle. This can also be described as a circle circumscribed about an 8-point star, or two squares.

Star Inscribed In A Circle

Illustration of an 8-point star, created by two squares at 45° rotations, inscribed in a circle.…

Illustration of an 8-point star, or convex polygon, inscribed in a circle. This can also be described as a circle circumscribed about an 8-point star.

Star Inscribed In A Circle

Illustration of an 8-point star, or convex polygon, inscribed in a circle. This can also be described…

Illustration of an 8-point star (convex polygon) inscribed in a large circle and circumscribed about a smaller circle.

Star Inscribed And Circumscribed About Circles

Illustration of an 8-point star (convex polygon) inscribed in a large circle and circumscribed about…

Illustration of an 8-point star (convex polygon) circumscribed about a circle. This can also be described as a circle inscribed in an 8-point star, or convex polygon.

Star Circumscribed About A Circle

Illustration of an 8-point star (convex polygon) circumscribed about a circle. This can also be described…

Leaves - simple; alternate; edge sharply and unequally toothed (sometimes with quite deep and sharp cuts, almost forming small lobes. Outline - oval or reverse egg-shape Apex - slightly pointed Base - tapering in a hollow curve and along the sides of the leaf-stem to a point Leaf/Stem - bordered by the leaf, to its base Leaf - about three to five inches long, one and a half to three inches wide; upper surface smoothish, and furrowed above the ribs; under surface downy at least when young; rather thick; permanently downy on the ribs. Thorns - one to two inches long Bark - of trunk, smooth and gray. New twigs, light greenish-brown Flowers - often one inch across; white eight to twelve in a cluster; at the ends of the branches; fragrant. May, June. Fruit - about one half inch in diameter, round or pear-shaped; orange-red or crimson; edible. October. Found - through the Atlantic forests to Western Florida, and from Eastern Texas far westward. Common. General Information - A thickly branching tree (or often a shrub) eight to twenty feet high; the most widely distributed of the American Thorns. It varies greatly in size, and in the style of its fruit and leaves. From a Greek word meaning strength.

Genus Crataegus, L. (Thorn)

Leaves - simple; alternate; edge sharply and unequally toothed (sometimes with quite deep and sharp…

Leaves - simple; alternate; edge unevenly sharp-toothed above the middle; sometimes, toward the apex deeply cut. Outline - reverse egg-shape. Apex - usually slightly pointed. Base - strongly wedge-shape, tapering from above the middle of the leaf and along the leaf-stem to a point. Leaf/Stem - one half to one inch long, slender, and winged by a tapering leaf. Leaf - one and a half to two and a half inches long; about as wide; light green; rather thick; downy when young; when mature, smooth and dull, or sometimes hairy below, especially of the ribs. Ribs, very straight below; above, marked by deep furrows. Thorns - one to two inches long, stout and curved, or often wanting. Bark - rough. Flowers - white; eight to fifteen in somewhat leafy bunches. May. Fruit - about one half inch in diameter, or more; usually dull red or yellow, with whitish dots; round; somewhat edible. September.Found - from New Brunswick and Vermont southward and westward. General Information - A thick, wide spreading tree, twelve to twenty-five feet high. From a Greek word meaning strength.

Genus Crataegus, L. (Thorn)

Leaves - simple; alternate; edge unevenly sharp-toothed above the middle; sometimes, toward the apex…

Leaves - simple; alternate; edge, sharply toothed above; entire below. Outline - reverse egg-shape. Apex - usually rounded, sometimes pointed. Base - tapering to a point, quite variable. Leaf/Stem - short. Leaf - one to two and a half inches long, half to three quarters as wide; dark green; thick, smooth, very shining above. Thorns - two to three inches long, rather slender and straight. Flowers - white; fragrant; in bunches of about fifteen blossoms, on very short side branchlets. June. Fruit - about one third inch in diameter; pear-shaped or round; red remaining on the three during the winter. Found - along the St. Lawrence and westward, and from Vermont, southward and westward; not common. General Information - A small, thick-branching tree, ten to twenty feet high. It is the best species of thorn for hedges. Var. pyracanthifolia has a somewhat narrower leaf and longer leaf stem. From a Greek word meaning strength.

Genus Crataegus, L. (Thorn)

Leaves - simple; alternate; edge, sharply toothed above; entire below. Outline - reverse egg-shape.…

Leaves - simple; alternate; edge variable, either coarse-toothed or somewhat lobed; with the teeth or lobes sharp, and the hollows between them rounded. Outline - rounded. Apex - pointed. Base - more or less heart-shaped, squared, or rounded. Leaf/Stem - downy when young, smoothish when old; and covering the leaf-bud with its swollen base. Leaf - three and a half to eight inches wide, and usually broader than long; downy beneath when young, becoming smooth. Bark - the thin outer bark peels off each year in hard and brittle strips, leaving the branches and parts of the trunk with a mottled, whitish, polished-looking surface. Flowers - small, in compact, round balls (about one inch in diameter) like round buttons, which dry and harden, and cling to the branches by their slender stems (three to four inches long), and swing like little bells during a good part of the winter. Found - from Southern Main, southward and westward, in rich, moist soil, oftenest along streams. Its finest growth is in the bottom lands of the Mississippi and Ohio rivers. General Information - The largest of the trees of the Atlantic forests, commonly sixty to eighty feet high; along the western rivers often eighty to one hundred and thirty feet high, sometimes more, with a circumference of forty to fifty feet. A tree in Eaton, N. J., is one of the largest in the Sate. It is eighty-five feel high. At a point eight fee from the ground its circumference is fourteen feet three inches. The largest trunks are usually hollow.  The wood is hard and compact, difficult to split and work, of a reddish-brown color within. Its principle use is in the making of tobacco boxes. There is a fine and somewhat noted group of these trees on the grounds of James Know, in Knoxboro, N. Y. In old times they formed a favorite camping place for the Indians in their trading expeditions. They all measure not far from three feet in diameter. The name "sycamore," though a common one, should be dropped - it belongs to another and very different tree. From a Greek word meaning broad, in reference to the breadth of the buttonwood's shade or of its leaf.

Genus Platanus, L. (Buttonwood)

Leaves - simple; alternate; edge variable, either coarse-toothed or somewhat lobed; with the teeth or…

Leaves - simple; alernate (sic); edge usually obscurely toothed, but varying from quite sharp-toothed to almost entire and slightly wavy. Outline - oval or reverse egg-shape. Apex - sharp (or sometimes rather blunted). Base - narrowing to a point (or sometimes slightly rounded). Leaf - two to four inches long; soft, downy, and almost velvety beneath; smoothish above; ribs distinct. Bark - of trunk, dark colored; of the branches, usually yellow; twigs, reddish-brown, straight and tough, downy when young, becoming smooth. Found - along borders of woods, and on low grounds, from New England to Pennsylvania, far westward and northward. General Information - A tall tree (or sometimes a shrug), four to fifteen feet high. Salix from two Celtic words meaning "near" and "water."

Genus Salix, L. (Willow)

Leaves - simple; alernate (sic); edge usually obscurely toothed, but varying from quite sharp-toothed…

Leaves - simple; alternate; edge quite deeply wavy-toothed. Outline - reverse egg-shape or oval. Apex - blunt-pointed. Base - pointed. Leaf - five to eight inches long; smooth, and rather bright green above; whitish-downy beneath, becoming almost silvery-white; often with a rather deep hollow just below the middle, and usually abruptly spreading above; the teeth unequal, longest toward the middle of the leaf, sometimes almost long enough to be called lobes; mostly rounded at the apex, but sometimes ending in a hard point; the main ribs prominent and rust-colored. Bark - of trunk, grayish-white, dividing into large, flat scales. Acorns - usually in pairs on a stem one and a quarter to three inches long. Cup - rounded, rather thin, rough, with sharp scales; the upper scales bristle-tipped, forming a border, or sometimes a fringe, along the edge; slightly downy within. Nut - one inch or less in length, egg-shape; sweet. October. Found - from Southern Maine and the Upper St. Lawrence to Southeastern Iowa and Western Missouri, south to Delaware and along the Alleghany Mountains to Northern Georgia; along borders of streams and in swamps, in deep, rich soil. Its finest growth is in the region of the Great Lakes. General Information - A tree thirty to sixty feet high or more, with wood similar in value to that of the White Oak. Quercus, possible from a Celtic word meaning to inquire, because it was among the oaks that the Druids oftenest practised their rites.

Genus Quercus, L. (Oak)

Leaves - simple; alternate; edge quite deeply wavy-toothed. Outline - reverse egg-shape or oval. Apex…

Leaves - simple; opposite; edge entire. Outline - egg-shape, or often broad oval, or reverse egg-shape. Apex - pointed, often taper-pointed. Base - pointed and usually slightly unequal. Leaf/Stem - short (about one half inch). Leaf - three to five inches long; smooth above; pale and nearly smooth beneath; with the whitish ribs very distinct and curved. Bark - of trunk, blackish and rough, with short, broken ridges. The bark, especially of the roots, is very bitter and is used as a tonic. Flowers - The real flowers are greenish-yellow, in a small rounded bunch; but this bunch is surrounded by four large, petal-like leaves, white and often tinged with pink, more than an inch in length, reverse egg-shaped, and ending in a hard, abruptly turned point. The appearance is of a single large flower. The tree blossoms in May before the leaves are fully set. Fruit - The "Flower" is succeeded by a bunch of oval berries that turn bright red as they ripen, making the tree in the autumn, with its richly changing foliage, nearly as attractive as in the spring. Found - in rich woods, from New England to Minnesota, and southward to Florida and Texas. It is very common, especially at the South. General Information - A finely shaped, rather flat-branching tree, usually twelve to thirty feet high, but dwindling, northward, to the dimensions of a shrub; one of the most ornamental of all our native flowering trees. Its character throughout the extent of its range would seem to warrant the recognition of its blossom as the "national flower." Cornus, from a Greek word meaning horn, because of the hardness of the wood.

Flowering Dogwood

Leaves - simple; opposite; edge entire. Outline - egg-shape, or often broad oval, or reverse egg-shape.…

Leaves - simple; indeterminate in position because of their smallness and closeness. They are scale-like, somewhat egg-shape, overlapping each other, and closely pressed in four rows up and down the very flat branchlets. Each leaf has at its centre a raised gland, easily distinguished if held between the eye and the light. Bark - fibrous. The "spray" (formed from the flat branchlets) is itself flat and very delicate and of a dull green. Cones - about one fourth of an inch in diameter, round, variously placed, compact, purplish as they ripen; opening when ripe toward the centre line (i. e., not toward its base). Scales - fleshy, shield-shaped and apparently fastened near their centres, with the edge several-pointed, and with a sharp point or knob in the centre. Seeds - usually four to eight under each scale, oval, with wide wings at the sides. Found - in deep, cold swamps (filling them densely and exclusively), from Southern Maine along the coast to Florida, and along the Gulf coast to Mississippi. General Information - A tapering evergreen tree, thirty to seventy feet high, with light and durable wood, largely used in boat-building, for wooden-ware, shingles, etc.

Genus Chamaecyparis, Spach. (White Cedar)

Leaves - simple; indeterminate in position because of their smallness and closeness. They are scale-like,…

Leaves - compound (odd-feathered; leaflet, five to nine, usually seven) ; alternate, edge of leaflets sharp-toothed. Outline - of leaflets, usually long oval. Apex - taper-pointed. Base - of end leaflet, wedge-shaped, of the others more or less rounded or slightly pointed. Leaf/Stem - smooth. Leaf/Buds - egg-shape and pointed or rounded, and with their outer scales a polished-brown. Leaflet/Stems - lacking, except the smooth, very short stem of the end leaflet. Leaflets - mostly two to five inches long (the lower ones much the smallest), smooth above and below. Bark - not shaggy. Fruit - of two forms: (a) pear-shape, (b) rounded. Husks - very thin, splitting about half-way to the base. Nut - about one inch in diameter; in (b) somewhat flattened at the sides and slightly hollowed above, and with the apex a sharp point. Shell - rather thin, smooth, hard, and bluish-gray. Meat - small and sweetish or slightly bitter. Found - from Southern Maine westward and southward. General information - All the Hickories are picturesque trees. Their tendency, even when standing alone, is to grow high, and with heads that, instead of being round, are cylinder-shaped to the very top, with only enough breaks and irregularities to add to the effect. This tendency is more marked in the Hickories than in any other of the leaf-shedding trees of North America. They are worthy of the name sometimes given them of 'the artist's tree." Hicoria, from a Greek word meaning round, in allusion to the shape of the nut.

Genus Hicoria, Raf., Carya, Nutt. (Hickory)

Leaves - compound (odd-feathered; leaflet, five to nine, usually seven) ; alternate, edge of leaflets…

The larynx viewed from its pharyngeal opening. The back wall of the pharynx has been divided and its edges (11) turned aside. Labels 1, body of hyoid; 2, its small, and 3, its great, horns; 4, upper and lower horns of thyroid cartilages; 5, mucous membrane of front of pharynx, covering the back of the cricoid cartilage; 6, upper end of gullet; 7, windpipe, lying in front of the gullet; 8, eminence caused by cartilage of Santorini; 9, eminence caused by cartilage of Wrisberg; both lie in, 10, the artytenoepiglottic fold of mucous membrane, surrounding the opening (aditus laryngis) from pharynx to larynx; a, projecting tip of epiglottis; c, the glottis, the lines leading from the latter point to the free vibratory edges of the vocal cords; b', the ventricles of the larynx; their upper edges, marking them off from the eminences b, are the false vocal cords.

Larynx

The larynx viewed from its pharyngeal opening. The back wall of the pharynx has been divided and its…

The lead can be sharpened to a chisel edge by rubbing it against a bit of sand paper or a fine file, and the corners slightly rounded.

Sharpened Pencil

The lead can be sharpened to a chisel edge by rubbing it against a bit of sand paper or a fine file,…

Veins of the upper extremity . Labels: 1, axillary artery; 2, axillary veins; 3, 4, basilic; 5, point where median basilic joins basilic; 6, posterior basilic vein; 8, anterior basilic vein; 9, point where cephalic enters axillary; 10, portion same vein; 11, point where median cephalic enters cephalic; 12, lower portion cephalic vein; 13, median cephalic vein; 14, median vein; 15, anastromosing branch; 16, cephalica-pollicis veins; 17, veins of fingers; 18, palmar veins.

Veins of the Arm and Shoulder

Veins of the upper extremity . Labels: 1, axillary artery; 2, axillary veins; 3, 4, basilic; 5, point…

For larger circles beam compasses are used. The two parts called channels which carry the pen and the needle point are clamped to a wooden beam at a distance equal to the radius of the circle. The thumb nut underneath one of the channel pieces makes accurate adjustment possible.

Beam Compasses

For larger circles beam compasses are used. The two parts called channels which carry the pen and the…

Adjusting the needle point so that it is slightly longer than that of the pencil.

The Tip of the Compass

Adjusting the needle point so that it is slightly longer than that of the pencil.

A boy and a girl play a game, throwing a ball to the stick. The image illustrates the point system of the game.

Stick Game

A boy and a girl play a game, throwing a ball to the stick. The image illustrates the point system of…

Three children play a ladder game, tossing bean bags in between ladder rungs. The point system of the game is illustrated in the image.

Ladder Game

Three children play a ladder game, tossing bean bags in between ladder rungs. The point system of the…

An echinoderm called a starfish or sea star.

Starfish

An echinoderm called a starfish or sea star.

A movable tower was used o attack a city in the medieval ages. It "was rolled up to the wall of the besieged town after the moat had been filled up at the proper point." -Breasted, 1914

Movable Tower

A movable tower was used o attack a city in the medieval ages. It "was rolled up to the wall of the…

A Radiate Echinoderm, the starfish, Paleaster Niagarensis.

Starfish

A Radiate Echinoderm, the starfish, Paleaster Niagarensis.

West Point under the control of the British, secured by Benedict Arnold.

West Point

West Point under the control of the British, secured by Benedict Arnold.

The coat of arms of Brazil.

Brazilian Coat of Arms

The coat of arms of Brazil.

The Coat of Arms of Paraguay.

Paraguay Coat of Arms

The Coat of Arms of Paraguay.

The twig of a thorn-tree. Most thorns point downward.

Thorn-Tree Twig

The twig of a thorn-tree. Most thorns point downward.

The image shows a cow grazing on a thorn-tree. A cow and many other animals graze with their tongue going from underneath the plant. That is why the thorn-tree's thorns have adapted to point mostly downward for protection.

Cow Grazing on a Thorn-Tree

The image shows a cow grazing on a thorn-tree. A cow and many other animals graze with their tongue…

South Australia Stamp (2 pence) from 1867-1868

South Australia Two Pence Stamp, 1867-1868

South Australia Stamp (2 pence) from 1867-1868

Egypt Stamp (10 para) from 1865

Egypt 10 Para Stamp, 1865

Egypt Stamp (10 para) from 1865

Egypt Stamp (5 paras) from 1867

Egypt 5 Para Stamp, 1867

Egypt Stamp (5 paras) from 1867

New Zealand Stamp (1 penny) from 1882

New Zealand One Penny Stamp, 1882

New Zealand Stamp (1 penny) from 1882

United States Flag, 23-stars, 1820-1822 Alabama and Maine were added as states in 1820, two stars were added to the flag, which increased the number of stars to 23. Thirteen stripes represent the thirteen original colonies. There is rumored to have been a 23-star flag with the stars arranged in the shape of one large star; however, there are no surviving copies.

United States Flag, 23 stars

United States Flag, 23-stars, 1820-1822 Alabama and Maine were added as states in 1820, two stars were…

The Big Dipper is used to find the North Star.

Big Dipper

The Big Dipper is used to find the North Star.

Finding the north star with the Big Dipper and Cassiopeia.

North Star

Finding the north star with the Big Dipper and Cassiopeia.

"To illustrate the revolution of the earth around the sun. The shaded portion represents night. The end of the axis around which the earth rotates is the point where the lines come together." -Tarr, 1910

Seasons

"To illustrate the revolution of the earth around the sun. The shaded portion represents night. The…

"Stone cells from different sources. 1, from coffee; 2, 3, and 4, from stem of clove; 5 and 6, from tea leaf; 7, 8, and 9, from powdered star anise seed." -Stevens, 1916

Stone Cells

"Stone cells from different sources. 1, from coffee; 2, 3, and 4, from stem of clove; 5 and 6, from…

The image shows different layers of clay, gravel, and sand and how underground waters travel through. HT is the sand surface S is the lowest point where rain water will settle. W is a well that goes as deep as g. O is gravel where water can fill. A and B are artesian wells.

Underground Waters

The image shows different layers of clay, gravel, and sand and how underground waters travel through.…

The image "shows the path of a body starting northward from any point O in the northern hemisphere and moving without friction. As it reaches higher latitudes, the deflection is more rapid and it turns to the east and south." -Dryer, 1901

Wind Movement

The image "shows the path of a body starting northward from any point O in the northern hemisphere and…

The figure "illustrates the bending of the solar rays entering the atmosphere. When the sun is below the horizon, at C, it would be invisible at A, on account of the curvature of the earth, if there were no atmosphere; but the solar rays entering the atmosphere near the point B are refracted so that they reach A, and the sun appears to be at D, though really at C below the horizon, either in the morning or in the evening. So that, in the polar regions, the sun is visible while it is in reality below the horizon, and is thus seen earlier and later during the time of polar sunlight." -Waldo, 1896

Atmospheric Optics

The figure "illustrates the bending of the solar rays entering the atmosphere. When the sun is below…