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 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…

Star with 5 points with lines of symmetry.

Star, 5-Point

Star with 5 points with lines of symmetry.

Star with 6 points with lines of symmetry.

Star, 6-Point

Star with 6 points with lines of symmetry.

American eagle with flags, shield and stars.

American Eagle

American eagle with flags, shield and stars.

"The constellation Andromeda, including its stars down to 5th magnitude, according to Heis; the figure from Ptolemy's description."-Whitney, 1902

Andromeda

"The constellation Andromeda, including its stars down to 5th magnitude, according to Heis; the figure…

"The Contellation Ara; One of the 15 ancient southern constellations; the Altar."-Whitney, 1902

Ara

"The Contellation Ara; One of the 15 ancient southern constellations; the Altar."-Whitney, 1902

"An arrangement of rings, all circles of a single sphere, intended to show the relative positions of the principal celestial circles."-Whitney, 1902

Armillary Sphere

"An arrangement of rings, all circles of a single sphere, intended to show the relative positions of…

Constellation: Cassiopeia

Cassiopeia

Constellation: Cassiopeia

"Argent, on a chief, gules, two mullets, sable. The chief is an ordinary terminated by an horizontal line, which, if it is of any other form but straight, its form must be expressed; it is placed in the upper part of the escutcheon, and occupies one third of the field." -Hall, 1862

Chief Ordinary

"Argent, on a chief, gules, two mullets, sable. The chief is an ordinary terminated by an horizontal…

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 (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…

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 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 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 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…

A compass placed in some convenient part of a ship on the midship line and provided with vanes, screws, and other apparatus for observing the bearings of heavenly and terrestrial objects.

Azimuth Compass

A compass placed in some convenient part of a ship on the midship line and provided with vanes, screws,…

Cassiopeia constellation.

Cassiopeia

Cassiopeia constellation.

Leo or the Lion constellation.

Leo

Leo or the Lion constellation.

Orion or the Hunter constellation.

Orion

Orion or the Hunter constellation.

Scorpion constellation.

Scorpion

Scorpion constellation.

Taurus or the bull constellation.

Taurus

Taurus or the bull constellation.

The Twins, Castor and Pollux constellation.

The Twins

The Twins, Castor and Pollux constellation.

Ursa Major or Great Bear or Big Dipper constellation.

Ursa Major

Ursa Major or Great Bear or Big Dipper constellation.

Ursa Minor or Little Dipper constellation.

Ursa Minor

Ursa Minor or Little Dipper constellation.

"CELESTIAL CROWN. Distinguished from any other crown by the stars on the points or rays that proceed from the circlet." -Hall, 1862

Celestial Crown

"CELESTIAL CROWN. Distinguished from any other crown by the stars on the points or rays that proceed…

A 5-point star made from a non-regular concave decagon in which all sides are equal in length.

Concave Equilateral Decagon

A 5-point star made from a non-regular concave decagon in which all sides are equal in length.

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…

A 6-point star made from a non-regular concave dodecagon in which all sides are equal in length. There is vertical, horizontal, rotational, and diagonal symmetry.

Concave Equilateral Dodecagon

A 6-point star made from a non-regular concave dodecagon in which all sides are equal in length. There…

"The ancient southern constellation of the River (Po or Padus)." -Whitney, 1911

Eridanus

"The ancient southern constellation of the River (Po or Padus)." -Whitney, 1911

Constellation: Hercules

Hercules

Constellation: Hercules

Constellation: Man with the Serpent

Man with the Serpent

Constellation: Man with the Serpent

An ornamental footer or tailpiece decorated with a moon, stars, and bats.

Nighttime Tailpiece

An ornamental footer or tailpiece decorated with a moon, stars, and bats.

"Two stars in the Big Dipper opposite the handle indicate the direction toward the North Star, which, though not very bright, is the first very noticeable star in line." -Wiswell, 1913

Finding the North Star

"Two stars in the Big Dipper opposite the handle indicate the direction toward the North Star, which,…

"The observatory. This view is from the field, looking north. On the left is seen the winding Schuylkill, and the rolling country beyond; and on the right, the distant hills of Montgomery county."—Lossing, 1851

observatory

"The observatory. This view is from the field, looking north. On the left is seen the winding Schuylkill,…

Constellation: Orion

Orion

Constellation: Orion

An illustration of drawing an eight point star using a series of pentagons to create a star. The paper is divided into a squares to use as a guide for drawing pentagons.

Constructing Star Using Pentagons

An illustration of drawing an eight point star using a series of pentagons to create a star. The paper…

Constellation: Persues

Persues

Constellation: Persues

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…

"Divide the square as indicated by the dotted lines, drawing these as full lines in pencil, but do not ink them...The intermediate or section lines must not be drawn with a pencil, but are to be drawn only in ink, the spacing being done by the eye." —Anthony, 1904

Constructing Stars Using Different Shapes

"Divide the square as indicated by the dotted lines, drawing these as full lines in pencil, but do not…

"One standing at O will only see the half of the Sky which is above the circle NESW. The whole sky will seem to be turning about the line POP'; the Stars will seem to be moving along the paths EQW, BAB', etc. Stars so near the North Pole that they are inside the dark area KPN will never set."—The Foundation Library, 1911

The Sphere of the Sky

"One standing at O will only see the half of the Sky which is above the circle NESW. The whole sky will…

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis in Athens. The design is of many rays of stars.

Greek Square Panel

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis…

A problem exercise to creating a star using series of triangles and squares. The image is divided by the dotted line to scale images to appropriate size.

Star Construction Using Triangles and Squares

A problem exercise to creating a star using series of triangles and squares. The image is divided by…

3 pointed star

Star

3 pointed star

4 pointed star

Star

4 pointed star

5 pointed star

Star

5 pointed star

6 pointed star

Star

6 pointed star

7 pointed star

Star

7 pointed star

8 pointed star

Star

8 pointed star

9 pointed star

Star

9 pointed star

10 pointed star

Star

10 pointed star

11 pointed star

Star

11 pointed star

12 pointed star

Star

12 pointed star

13 pointed star

Star

13 pointed star

14 pointed star

Star

14 pointed star