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 where one leg of a right triangle is the diameter of a circle. The tangent at the point where the circumference cuts the hypotenuse bisects the other leg.

Circle With a Right Triangle

Illustration where one leg of a right triangle is the diameter of a circle. The tangent at the point…

Illustration showing that from any point in the circumference of a circle, a chord and a tangent are drawn, the perpendiculars dropped on them from the middle point of the subtended arc are equal.

Circle With a Tangent Line and Chord

Illustration showing that from any point in the circumference of a circle, a chord and a tangent are…

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 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 that shall pass through a given point and cut chords of a given length from two parallels.

Construction of a Circle Through a Given Point that Cuts Chords of Given Lengths From Parallels

Illustration used to construct a circle that shall pass through a given point and cut chords of a given…

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.

A whole circle.

Whole Fraction Pie

A whole circle.

A circle divided in half vertically.

Two Halves of a Fraction Pie

A circle divided in half vertically.

A circle divided in half horizontally.

Two Halves of a Fraction Pie

A circle divided in half horizontally.

A circle divided in half vertically separated.

Two Halves of a Fraction Pie

A circle divided in half vertically separated.

A circle divided in half horizontally separated.

Two Halves of a Fraction Pie

A circle divided in half horizontally separated.

One half of a circle (vertical left).

Half of a Fraction Pie

One half of a circle (vertical left).

One half of a circle (vertical right).

Half of a Fraction Pie

One half of a circle (vertical right).

One half of a circle (horizontal top).

Half of a Fraction Pie

One half of a circle (horizontal top).

One half of a circle (horizontal bottom).

Half of a Fraction Pie

One half of a circle (horizontal bottom).

A circle divided into thirds.

Fraction Pie Divided into Thirds

A circle divided into thirds.

A circle divided into thirds with one third separated.

Fraction Pie Divided into Thirds

A circle divided into thirds with one third separated.

Two thirds of a circle.

Two Thirds of a Fraction Pie

Two thirds of a circle.

Two thirds of a circle.

Two Thirds of a Fraction Pie

Two thirds of a circle.

Two thirds of a circle.

Two Thirds of a Fraction Pie

Two thirds of a circle.

One third of a circle.

One Third of a Fraction Pie

One third of a circle.

One third of a circle.

One Third of a Fraction Pie

One third of a circle.

One third of a circle.

One Third of a Fraction Pie

One third of a circle.

A circle divided into quarters.

Fraction Pie Divided into Quarters

A circle divided into quarters.

A circle divided into quarters with one quarter separated.

Fraction Pie Divided into Quarters

A circle divided into quarters with one quarter separated.

Three quarters of a circle.

Three Quarters of a Fraction Pie

Three quarters of a circle.

Three quarters of a circle.

Three Quarters of a Fraction Pie

Three quarters of a circle.

Three quarters of a circle.

Three Quarters of a Fraction Pie

Three quarters of a circle.

Three quarters of a circle.

Three Quarters of a Fraction Pie

Three quarters of a circle.

Two quarters of a circle.

Two Quarters of a Fraction Pie

Two quarters of a circle.

Two quarters of a circle.

Two Quarters of a Fraction Pie

Two quarters of a circle.

Two quarters of a circle.

Two Quarters of a Fraction Pie

Two quarters of a circle.

Two quarters of a circle.

Two Quarters of a Fraction Pie

Two quarters of a circle.

One quarter of a circle.

One Quarter of a Fraction Pie

One quarter of a circle.

One quarter of a circle.

One Quarter of a Fraction Pie

One quarter of a circle.

One quarter of a circle.

One Quarter of a Fraction Pie

One quarter of a circle.

One quarter of a circle.

One Quarter of a Fraction Pie

One quarter of a circle.

A circle divided into fifths.

Fraction Pie Divided into Fifths

A circle divided into fifths.

A circle divided into fifths with one fifth separated.

Fraction Pie Divided into Fifths

A circle divided into fifths with one fifth separated.

Four fifths of a circle.

Four Fifths of a Fraction Pie

Four fifths of a circle.

Three fifths of a circle.

Three Fifths of a Fraction Pie

Three fifths of a circle.

Two fifths of a circle.

Two Fifths of a Fraction Pie

Two fifths of a circle.

One fifth of a circle.

One Fifths of a Fraction Pie

One fifth of a circle.

A circle divided into sixths.

Fraction Pie Divided into Sixths

A circle divided into sixths.

A circle divided into sixths with one sixth separated.

Fraction Pie Divided into Sixths

A circle divided into sixths with one sixth separated.

Five sixths of a circle.

Five Sixths of a Fraction Pie

Five sixths of a circle.

Four sixths of a circle.

Four Sixths of a Fraction Pie

Four sixths of a circle.

Three sixths of a circle.

Three Sixths of a Fraction Pie

Three sixths of a circle.