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

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

Illustration of a circle with diameter AB. Radii are RO, SO, AO, and BO. ED is a chord.

Illustration of a circle with diameter BC, chord DF, secant MN, and tangent HK.

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.

An illustration showing a circle with radius r, diameter d, and chord c.

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

Illustration showing a circle with various chords and tangents drawn.

Illustration showing a circle with various chords and tangents drawn.

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

Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they…

Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they…

Illustration of intersecting circles. "If two circles intersect each other, the line joining their centers…

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.

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

Illustration of half of an ellipse. "The ordinates of two corresponding points in an ellipse and its…

Illustration showing that if one diameter is conjugate to a second, the second is conjugate to the first.

Illustration of half of an ellipse and its auxiliary circle used to construct an ellipse by points,…

Illustration of half of an ellipse. "If d denotes the abscissa of a point of an ellipse, r and r' its…

Illustration of half of an ellipse. "If through a point P of an ellipse a line is drawn bisecting the…

Illustration of half of an ellipse. The square of the ordinate of a point in an ellipse is to the product…

Illustration showing that tangents drawn at the ends of any diameter are parallel to each other.

Illustration of half of an ellipse. "The sum of the distances of any point from the foci of an ellipse…

Illustration of how to draw a tangent to an ellipse from an external point.

Illustration showing the tangents drawn at two corresponding points of an ellipse and its auxiliary…

Illustration showing that the area of a parabolic segment made by a chord is two thirds the area of…

An illustration showing a circle sector with radius r, center/central angle v, and length of circle…

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