A circle in a aerodynamic chamber where the airflow hitting the object. The area at point DD is large creating a resistance.

Circle Aerodynamic

A circle in a aerodynamic chamber where the airflow hitting the object. The area at point DD is large…

Aerodynamic of the ellipse where the area at point DD is small. The small area creates less resistance for the plane while in flight.

Ellipse Aerodynamic

Aerodynamic of the ellipse where the area at point DD is small. The small area creates less resistance…

Illustration showing the golden angle. The golden angle is the smaller of two angles created by dividing the circumference of a circle according to the golden section. The ratio of the length of the larger arc to the smaller arc is equal to the ratio of the entire circumference to the larger arc. The golden angle is approximately 137.51°.

Golden Angle

Illustration showing the golden angle. The golden angle is the smaller of two angles created by dividing…

Illustration of circle with inscribed angle and central angle.

Inscribed and Central Angles

Illustration of circle with inscribed angle and central angle.

Illustration of circle with inscribed angle 30 and central angle 60.

Inscribed and Central Angles 30 60

Illustration of circle with inscribed angle 30 and central angle 60.

"Azure, an annulet argent. Annulets are added to arms for a difference. ANNULET. A small circle borne as a charge in coats of arms." -Hall, 1862

Annulet

"Azure, an annulet argent. Annulets are added to arms for a difference. ANNULET. A small circle borne…

"From annulus, a ring. A mark of difference of the fifth son."—Aveling, 1891

Annulet

"From annulus, a ring. A mark of difference of the fifth son."—Aveling, 1891

Illustration showing that the arc length can be found by multiplying the angle measure by the radius of the circle.

Model of Arc Length, Angle Measure, and Radius

Illustration showing that the arc length can be found by multiplying the angle measure by the radius…

Illustration used to show how to bisect a given arc.

Bisecting an Arc

Illustration used to show how to bisect a given arc.

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal in length to a given straight line."

Construction Of Arc

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal…

Illustration showing arcs measured in positive and negative angles.

Positive and Negative Arcs in Circles

Illustration showing arcs measured in positive and negative angles.

Illustration of circles used to find area between two circles (ring).

Area of Circles and Rings

Illustration of circles used to find area between two circles (ring).

"Raise the arm vertically to its full extent and describe horizontal circles." — Moss, 1914

Assemble, march

"Raise the arm vertically to its full extent and describe horizontal circles." — Moss, 1914

Illustration of a conical bifrustum created by three parallel planes of circles with the middle plane largest. The top and bottom circles are congruent. It is constructed from two congruent frustums across a plane of symmetry.

Conical Bifrustum

Illustration of a conical bifrustum created by three parallel planes of circles with the middle plane…

A blank banner with a circle focal point.

Blank Banner

A blank banner with a circle focal point.

"The loaves of the ancients were generally circular, and more or less flat. The following cut represents some found in a bakehouse at Pompeii." — Anthon, 1891

Circular bread

"The loaves of the ancients were generally circular, and more or less flat. The following cut represents…

This round brooch is in the shape of a circle with a half moon shape laying on the interior bottom edge of the circle. It has a pin that goes through the center of the brooch.

Round Brooch

This round brooch is in the shape of a circle with a half moon shape laying on the interior bottom edge…

An illustration of a vertical cross section of the spherical zones of a casting with a diameter of 16 inches.

Vertical Cross Section of Spherical Zones of a Casting

An illustration of a vertical cross section of the spherical zones of a casting with a diameter of 16…

An illustration showing how to construct the center and radius of a circle that will tangent a given circle and line. "Through the given point C, draw the line EF at right angles to AB; set off from C the radius r of the given circle. Join G and F. With G and F as centers draw the arc crosses m and n. Join mn, and where it crosses the line EF is the center of the required circle."

Construction Of A Center And Radius Of A Circle That Will Tangent A Given Circle And Line

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct the center and radius of a circle that will tangent a given circle and line. "From C, erect the perpendicular CG; set off the given radius r from C to H. With H as a center and r as radius, draw the cross arcs on the circle. Through the cross arcs draw the line IG; then G is the center of the circle arc FIC, which tangents the line at C and the circle at F."

Construction Of A Center And Radius Of A Circle That Will Tangent A Given Circle And Line

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct the center and radius of a circle that will tangent a given circle. "Through the given point C, draw the tangent GF; bisect the angle FGE; then o is the center of the required circle that will tangent AB at C, and the line DE."

Construction Of A Center And Radius Of A Circle That Will Tangent A Given Circle

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct a center and radius of a circle that will tangent the three sides of a triangle. "Bisect two of the angles in the triangle, and the crossing C is the center of the required circle."

Construction Of The Center And Radius Of A Circle Tangent To Triangle Sides

An illustration showing how to construct a center and radius of a circle that will tangent the three…

Illustration used to show how to find the center when given an arc and its radius.

Construction Of Center

Illustration used to show how to find the center when given an arc and its radius.

"Attach a ball, for instance, to a cord; and , fastening the end of the cord at a point, O, give a quick impulse to the ball. It will be found to move in a circle, ABCD, because the cord keeps it within a certain distance of the centre (sic). Were it not for this, it would move in a straight line." —Quackenbos 1859

Centrifugal Force

"Attach a ball, for instance, to a cord; and , fastening the end of the cord at a point, O, give a quick…

"The instant one of the strings is let go, the centrifugal force carries off the stone in a tangent to the circle it was describing." —Quackenbos 1859

Centrifugal Force

"The instant one of the strings is let go, the centrifugal force carries off the stone in a tangent…

Illustration of circle with diameter.

Circle with Diameter

Illustration of circle with diameter.

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the cone.

Circle

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the…

An illustration showing how to construct a circle arc without recourse to its center, but its chord AB and height h being given. "With the chord as radius, and A and B as centers, draw the dotted circle arcs AC and BD. Through the point O draw the lines AOo and BOo. Make the arcs Co=Ao and Do=Bo. Divide these arcs into any desired number of equal parts, and number them as shown on the illustration. Join A and B with the divisions, and the crossings of equal numbers are points in the circle arc."

Construction Of A Circle Arc

An illustration showing how to construct a circle arc without recourse to its center, but its chord…

If every diameter is perpendicular to its conjugate, the conic is a circle.

Circle Diameters

If every diameter is perpendicular to its conjugate, the conic is a circle.

Illustration used to construct a circle when given three points.

Construction of Circle Given 3 Points

Illustration used to construct a circle when given three points.

This marble mosaic circle pattern is inlaid pieces of glass found in the windows of a cathedral in Florence, Italy.

Marble Mosaic Circle Pattern

This marble mosaic circle pattern is inlaid pieces of glass found in the windows of a cathedral in Florence,…

The marble mosaic circle pattern is inlaid pieces of stone, wood, glass, leather or straw to make a picture or pattern. This design is found in the San Vitale church in Ravenna, Italy.

Marble Mosaic Circle Pattern

The marble mosaic circle pattern is inlaid pieces of stone, wood, glass, leather or straw to make a…

This Medieval Tile circle pattern is a stained glass design. It the oldest process of fitting together pieces of colored glass in a mosaic style.

Medieval Tile Circle Pattern

This Medieval Tile circle pattern is a stained glass design. It the oldest process of fitting together…

This medieval tile circle pattern is a stained glass design. It the oldest process of fitting together pieces of colored glass in a mosaic style.

Medieval Tile Circle Pattern

This medieval tile circle pattern is a stained glass design. It the oldest process of fitting together…

This medieval tile circle pattern is a stained glass design. It the oldest process of fitting together pieces of colored glass in a mosaic style.

Medieval Tile Circle Pattern

This medieval tile circle pattern is a stained glass design. It the oldest process of fitting together…

Intersection of lines between a circle and its polar point.

Circle Polar Point

Intersection of lines between a circle and its polar point.

Illustration of a circle used to prove "All angles inscribed in the same segment are equal."

Angles Inscribed in the Same Segment Circle Proof

Illustration of a circle used to prove "All angles inscribed in the same segment are equal."

Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle is measured by one half of its intercepted arc." In this case, one side of angle ABC passes through the center of the circle.

Inscribed Angle in a Circle Proof

Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle…

Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle is measured by one half of its intercepted arc." In this case, center O lies within angle ABC.

Inscribed Angle in a Circle Proof

Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle…

Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle is measured by one half of its intercepted arc." In this case, center O lies outside angle ABC.

Inscribed Angle in a Circle Proof

Illustration of a circle with an inscribed angle that can be used to prove that "An inscribed angle…

Illustration of a circle used to prove "Any angle inscribed in a segment less than a semicircle is an obtuse angle."

Obtuse Angles Inscribed in Circle Proof

Illustration of a circle used to prove "Any angle inscribed in a segment less than a semicircle is an…

An illustration showing how to construct a circle tangent to a given line and given circle. "Add the given radius r to the radius R of the circle, and draw the arc cd. Draw the line ce parallel with and at a distance r from the line AB. Then the crossing c is the center of the required circle that will tangent the given line and circle."

Construction Of A Circle Tangent To A Line And A Circle

An illustration showing how to construct a circle tangent to a given line and given circle. "Add the…

An illustration showing how to construct a circle that tangents two given lines and goes through a given point c on the line FC, which bisects the angle of the lines. "Through C draw AB at right angles to CF; bisect the angles DAB and EBA, and the crossing on CF is the center of the required circle."

Construction Of A Circle That Tangents 2 Given Lines And Goes Through A Given Point

An illustration showing how to construct a circle that tangents two given lines and goes through a given…

An illustration showing how to construct a circle that tangents two given lines inclined to one another with the one tangenting point being given. "Draw the center line GF. From E, draw EF at right angles to AB; then F is the center of the circle required.

Construction Of A Circle That Tangents 2 Given Lines

An illustration showing how to construct a circle that tangents two given lines inclined to one another…

Illustration used to show that "If two tangents are drawn from any given point to a circle, those tangents are equal."

Equal Tangents to Circle Theorem

Illustration used to show that "If two tangents are drawn from any given point to a circle, those tangents…

Illustration used to show that "A tangent to a circle is perpendicular to the radius drawn to the point of tangency."

Tangent to Perpendicular Radius Circle Theorem

Illustration used to show that "A tangent to a circle is perpendicular to the radius drawn to the point…

Illustration of Circle with radian shown.

Circle With Radian

Illustration of Circle with radian shown.

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

1/3 Circle

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

Illustration of circle with 10 inch diameter and square.

Circle With 10 inch Diameter and Steel Square

Illustration of circle with 10 inch diameter and square.

Design made by drawing one large circle and then three circles that are internally tangent to the original circle and externally tangent to each other. The lines of centers of the inner circles form an equilateral triangle. Erase one side of each of the smaller circles to create the design. It resembles the yin and yang symbol.

3 Yin Yang Design Symbols In A Circle

Design made by drawing one large circle and then three circles that are internally tangent to the original…

Design made by drawing one large circle and then three circles that are internally tangent to the original circle and externally tangent to each other. The lines of centers of the inner circles form an equilateral triangle.. Erase one side of each of the smaller circles to create the design. It resembles the yin and yang symbol.

3 Yin Yang Design Symbols In A Circle

Design made by drawing one large circle and then three circles that are internally tangent to the original…

Circle with 36 degree angles marked. This diagram can be used with the following trig problem: Locate the centers of the holes B and C by finding the distance each is to the right and above the center O. The radius of the circle is 1.5 inches. Compute correct to three decimal places.

Circle With 36 degree Angles and Radius 1.5 in.

Circle with 36 degree angles marked. This diagram can be used with the following trig problem: Locate…

Design made by drawing one large circle and then four circles that are internally tangent to the original circle. Erase one side of each of the smaller circles to create the design. It resembles the yin and yang symbol.

4 Yin Yang Design Symbols In A Circle

Design made by drawing one large circle and then four circles that are internally tangent to the original…

Design made by drawing one large circle and then four circles that are internally tangent to the original circle. Erase one side of each of the smaller circles to create the design. It resembles the yin and yang symbol.

4 Yin Yang Design Symbols In A Circle

Design made by drawing one large circle and then four circles that are internally tangent to the original…

Illustration of circle with 6 inch diameter.

Circle With 6 inch Diameter

Illustration of circle with 6 inch diameter.

Illustration of circle with 8 inch diameter.

Circle With 8 inch Diameter

Illustration of circle with 8 inch diameter.

Illustration of a circle with the arc aeb drawn and labeled.

Arc of Circle

Illustration of a circle with the arc aeb drawn and labeled.

An illustration of an arc of a circle. An arc is any part of the circumference of a circle.

Arc of Circle

An illustration of an arc of a circle. An arc is any part of the circumference of a circle.

Illustrations of a circle with arc, chord, inscribed angle, and circumscribed about a polygon.

Circle with Arc, Chord, Inscribed Angle, Circumscribed Polygon

Illustrations of a circle with arc, chord, inscribed angle, and circumscribed about a polygon.

Illustration of circle with arc and chord.

Arc and Chord in Circle

Illustration of circle with arc and chord.