Illustrations of a circle with segment, semicircle, sector, quadrant, and central angles drawn.

Circle with Segment, Semicircle, Sector, Quadrant, and Central Angle

Illustrations of a circle with segment, semicircle, sector, quadrant, and central angles drawn.

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.

Illustrations of a circle with a circumscribed polygon. Or, a circle inscribed in an octagon.

Circle with Circumscribed Polygon

Illustrations of a circle with a circumscribed polygon. Or, a circle inscribed in an octagon.

Illustrations of a circle with a chord and triangle inside.

Circle with Chord and Triangle

Illustrations of a circle with a chord and triangle inside.

Illustrations of 2 equal circles with radii drawn.

Equal Circles With Radii

Illustrations of 2 equal circles with radii drawn.

Illustrations of 2 equal circles with radii drawn.

Equal Circles With Radii and Chords

Illustrations of 2 equal circles with radii drawn.

Illustration of a circle with diameter and chord drawn. A diameter perpendicular to a chord bisects the chord and the arcs subtended by it.

Circle With Diameter and Chord

Illustration of a circle with diameter and chord drawn. A diameter perpendicular to a chord bisects…

Illustration of a circle with equal chords, which are equally distant from the center.

Circle With Equal Chords

Illustration of a circle with equal chords, which are equally distant from the center.

Illustration of a circle with unequal chords, which are unequally distant from the center.

Circle With Unequal Chords

Illustration of a circle with unequal chords, which are unequally distant from the center.

Illustration of a circle with a tangent drawn - a straight line perpendicular to a radius at its extremity.

Circle With Tangent Line Drawn

Illustration of a circle with a tangent drawn - a straight line perpendicular to a radius at its extremity.

Illustration of a circle with parallels intercepting equal arcs on a circumference.

Circles With Parallels Intercepting Equal Arcs

Illustration of a circle with parallels intercepting equal arcs on a circumference.

Illustration of a circle which illustrates that through three points not in a straight line one circumference, and only one, can be drawn.

Circle With Circumference Through Three Points

Illustration of a circle which illustrates that through three points not in a straight line one circumference,…

Illustration of a circle which illustrates that the tangents to a circle drawn from an external point are equal, and make equal angles with the line joining the point to the center.

Circle With Two Tangents Drawn From an External Point

Illustration of a circle which illustrates that the tangents to a circle drawn from an external point…

Illustration of intersecting circles with a common chord.

Intersecting Circles With a Common Chord

Illustration of intersecting circles with a common chord.

Illustration of two circles that are tangent to each other, the line of center passing through the point of contact.

Tangent Circles

Illustration of two circles that are tangent to each other, the line of center passing through the point…

Illustration of a circle with a polygon (octagon) and square inscribed.

Circle With Polygon and Square Inscribed

Illustration of a circle with a polygon (octagon) and square inscribed.

Illustration of equal circles to show that two central angles have the same ratio as their intercepted arcs.

Equal Circles With Intercepted Arcs

Illustration of equal circles to show that two central angles have the same ratio as their intercepted…

Illustration of equal circles to show that an inscribed angle is measured by half the arc intercepted between its sides.

Circles With Inscribed Angles

Illustration of equal circles to show that an inscribed angle is measured by half the arc intercepted…

Illustration of a circle with a right angle inscribed in a semicircle.

Circle With Inscribed Right Angle in Semicircle

Illustration of a circle with a right angle inscribed in a semicircle.

Illustration of a circle with an angle inscribed in a segment greater than a semicircle, an acute angle.

Circle With Inscribed Angle Greater Than Semicircle

Illustration of a circle with an angle inscribed in a segment greater than a semicircle, an acute angle.

Illustration of a circle with an angle inscribed in a segment less than a semicircle, an obtuse angle.

Circle With Inscribed Angle Less Than Semicircle

Illustration of a circle with an angle inscribed in a segment less than a semicircle, an obtuse angle.

Illustration of a circle with two intersecting chords within the circumference. The angle formed is measured by half the sum of the intercepted arcs.

Circle With Two Intersecting Chords

Illustration of a circle with two intersecting chords within the circumference. The angle formed is…

Illustration of a circle showing an angle included by a tangent and a chord drawn from the point of contact. The angle is measured by half the intercepted arc.

Circle With Chord and Tangent

Illustration of a circle showing an angle included by a tangent and a chord drawn from the point of…

Illustration showing angles formed by two secants, two tangents, or a tangent and a secant, drawn to a circle form an external point. The angle is measured by half the difference of the intercepted arcs.

Circles With Angles Formed by Secants and Tangents

Illustration showing angles formed by two secants, two tangents, or a tangent and a secant, drawn to…

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 showing various circles and the angles formed by intersecting lines.

Intersecting Lines in Circles

Illustration showing various circles and the angles formed by intersecting lines.

Illustration showing a circle with a quadrilateral inscribed.

Circle With Inscribed Quadrilateral

Illustration showing a circle with a quadrilateral inscribed.

Illustration showing a circle with a diameter, radius, and segment drawn.

Circle With Diameter, Radius, Segment

Illustration showing a circle with a diameter, radius, and segment drawn.

Illustration showing a circle with a diameter, radius, lines, triangle, and segment drawn.

Circle With Diameter, Radius, Segment, Line

Illustration showing a circle with a diameter, radius, lines, triangle, and segment drawn.

Illustration showing a circle with various chords drawn.

Circle With Various Chords

Illustration showing a circle with various chords drawn.

Illustration showing a circle with various chords drawn.

Circle With Various Chords

Illustration showing a circle with various chords drawn.

Illustration showing a circle with various chords and tangents drawn.

Circle With Various Chords And Tangents

Illustration showing a circle with various chords and tangents drawn.

Illustration showing a circle with various chords and tangents drawn.

Circle With Various Chords And Tangents

Illustration showing a circle with various chords and tangents drawn.

Illustration showing 2 circles with that touch each other and two lines drawn through the point of contact terminated by the circumference. The chords joining the ends of theses lines are parallel.

Tangent Circles With Chords

Illustration showing 2 circles with that touch each other and two lines drawn through the point of contact…

Illustration showing 2 intersecting circles with a line drawn through each point of intersection terminated by the circumferences. The chords joining the ends of theses lines are parallel.

Two Intersecting Circles With Lines

Illustration showing 2 intersecting circles with a line drawn through each point of intersection terminated…

Illustration showing 2 intersecting circles with a lines drawn that form a triangle.

Two Intersecting Circles With Lines

Illustration showing 2 intersecting circles with a lines drawn that form a triangle.

Illustration showing the diameter of a circle inscribed in a right triangle is equal to the difference between the sum of the legs and the hypotenuse.

Circle Inscribed in a Right Triangle

Illustration showing the diameter of a circle inscribed in a right triangle is equal to the difference…

Illustration showing an equilateral triangle inscribed in a circle.

Circle With Inscribed Equilateral Triangle

Illustration showing an equilateral triangle inscribed in a circle.

Illustration showing a circle with an inscribed and circumscribed quadrilateral.

Circle With Inscribed and Circumscribed Quadrilaterals

Illustration showing a circle with an inscribed and circumscribed quadrilateral.

Illustration showing a circle with an inscribed quadrilateral and triangles formed by extended chords.

Circle With Inscribed Quadrilateral and Triangles Formed

Illustration showing a circle with an inscribed quadrilateral and triangles formed by extended chords.

Illustration of the construction used to circumscribe a circle about a given triangle.

Construction to Circumscribe a Circle About a Triangle

Illustration of the construction used to circumscribe a circle about a given triangle.

Illustration of the construction used to inscribe a circle in a given triangle.

Construction to Inscribe a Circle in a Triangle

Illustration of the construction used to inscribe a circle in a given triangle.

Illustration of the construction used to escribe circles with centres (centers) called ex-centres of the triangles. The intersections of the bisectors of the exterior angles of a triangle are the centers of three circles, each of which will touch one side of the triangle, and the two other circles.

Construction of Escribed Circles With Ex-centres

Illustration of the construction used to escribe circles with centres (centers) called ex-centres of…

Illustration of the construction used to draw a tangent to a given circle through a given point.

Construction of Tangent Line Through a Given Point to a Given Circle

Illustration of the construction used to draw a tangent to a given circle through a given point.

Illustration of the construction used upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed.

Construction to Describe a Segment of a Circle in Which an Angle Can Be Inscribed

Illustration of the construction used upon a given straight line, to describe a segment of a circle…

Illustration used to construct a circle when given two points that it passes through and a radius.

Construction of a Circle When Given Two Points and a Radius

Illustration used to construct a circle when given two points that it passes through and a radius.

Illustration showing a line with a midpoint drawn from a given exterior point to a given circumference.

Midpoint of Straight Line Drawn From an Exterior point to Circumference

Illustration showing a line with a midpoint drawn from a given exterior point to a given circumference.

Illustration showing a line that remains parallel to a given line, and touches at one end a given circumference.

Straight Line Moving to Two circles

Illustration showing a line that remains parallel to a given line, and touches at one end a given circumference.

Illustration showing a line that moves so that its ends constantly touch two fixed lines which are perpendicular to each other. Locus of the midpoint.

Circle Made by Ends of a Line Touching Two Fixed Lines Perpendicular to Each Other

Illustration showing a line that moves so that its ends constantly touch two fixed lines which are perpendicular…

Illustration showing a circle with an inscribed triangle and radii.

Circle With Inscribed Triangle and Radii

Illustration showing a circle with an inscribed triangle and radii.

Illustration showing a circle with equilateral triangles and another circle within.

Circle With Triangles and Circle Within

Illustration showing a circle with equilateral triangles and another circle within.

Illustration used to construct a common tangent when given two circles.

Construction of a Common Tangent When Given Two Circles

Illustration used to construct a common tangent when given two circles.

Circle with intersecting chords.

Circle With Intersecting Chords

Circle with intersecting chords.

Circle with secant and tangent drawn.

Circle With Tangent and Secant

Circle with secant and tangent drawn.

Circle with two triangles.

Circle and Triangles

Circle with two triangles.

Circle with triangle to show how to divide a line in extreme and mean ratio.

Circle and Triangle

Circle with triangle to show how to divide a line in extreme and mean ratio.

Circle with triangle inscribed.

Circle and Inscribed Triangle

Circle with triangle inscribed.

Circle with triangles.

Circle and Triangles

Circle with triangles.

Circle with triangle and chords.

Circle and Triangle

Circle with triangle and chords.

Circle with triangle and chords.

Circle and Triangle

Circle with triangle and chords.