Cabri Java Applets
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Text Index
Circles
Cardioid
Nephroid
Astroid and 4-cusped Epicycloid
Deltoid and 3-cusped Epicycloid
Cardioid Enveloped by Circles
Common Tangent Circles of Two Given Circles
An Invariant Property of Three Circle Meeting at a Point
An Invariant Property of Three Mutually Tangential Circles
A Chain of Six Tangential Circles
Mori Effect
Four Rotating Disks
Involute of Circle
Problem of Apollonius
Circles Enveloping the Lemniscate
Rotating Tangential Disks
Colinear Points [1]
Colinear Points [2]
Five Circles Theorem
Five Circles Theorem Inverted
Five Circles Meeting at One Point
Lip
Constructions with the Compass Alone
Bowditch Curve
Hyperbola
Lemniscate
Parabola
Ellipse Constructed with Eight Circles
Ellipse
Astroid
Deltoid
Nephroid
Cardioid
Osculating Circle of the Nephroid
Osculating Circle of the Cardioid
Osculating Circle of the Deltoid
Osculating Circle of the Astroid
Steiner's Porisms
Steiner's Porism [1]
Steiner's Porism [2]
Steiner's Porism [3]
Steiner's Porism [4]
Coaxal Systems
Apollonius Circles
Coaxal System [1]
Coaxal System [2]
Coaxal System [3]
Coaxal System [4]
Coaxal System [5]
Conics
Conics from Paper Folding
Linkage to Generate Ellipse
Van Schooten's Locus Problem
Ellipse Tangent to Astroid
Osculating Circle of Conics
Osculating Circle of an Ellipse
Circle Common Tangent to a Circle and a Conic
Triangle Traveling on Three Ellipses Rigidly
Poncelet's Porism (Circle-Quadrilateral-Ellipse)
Orthogonal Normals of a Conic
A Property of Conic
Ellipse Constructed with Eight Circles
Chords Parallel to a Diameter
Conic Constructed with the Ruler Alone
Ellipse Constructed with the Compass Alone [1]
Ellipse Constructed with the Compass Alone [2]
Four Mutually Tangential Ellipses
Ellipse Inscribed in a Deltoid
Deltoid Circumscribing an Ellipse
Four Points Traveling on Four Fixed Line Forming a Rhombus
A Way to Generate Conic
Poncelet's Porisms
Circle-Triangle-Escribed Circle [1]
Circle-Triangle-Escribed Circle [2]
Poncelet's Theorem [1]
Poncelet's Theorem [2]
Poncelet's Theorem [3]
Poncelet's Theorem (Circle-Skew Quadrilateral-Escribed Circle)
in Poncaré's Model [1]
in Poncaré's Model [2]
in Poncaré's Model [3]
in Poncaré's Model [4]
Circle-Quadrilateral-Escribed Circle [1]
Circle-Quadrilateral-Escribed Circle [2]
Circle-Quadrilateral-Circle
Ellipse-Triangle-Circle-Triangle-Ellipse [1]
Ellipse-Triangle-Circle-Triangle-Ellipse [2]
Circle-Triangle-Circle
in Lobachevskian Model
Parabola-Triangle-Circle
Circle-Quadrilateral-Escribed Parabola [1]
Circle-Quadrilateral-Escribed Parabola [2]
Linkages
Linkage to Generate Cardioid [1]
Linkage to Generate Cardioid [2]
Peaucellier's Linkage [1]
Peaucellier's Linkage [2]
Peaucellier's Linkage [3]
Area and Direction Preserving Linkage
Hart's Linkage [1]
Hart's Linkage [2]
Kempe's Linkage
Linkage to Generate Ellipse
Square Dance
Pearl
Cashew
Pear
Epicycloids-Hypocycloids-Trochoids
Cardioid Swept by Six Discs
Nephroid Swept by Six Discs
Double Generation of the Astroid
Double Generation of the Cardioid
Double Generation of the Nephroid
Double Generation of the Deltoid
Double Generation of the Trochoid
Formation of Nephroid
Two Cardioids and One Nephroid
Linkage to Generate Cardioid [1]
Linkage to Generate Cardioid [2]
Cardioid Sliding on Orthogonal Lines
Astroid and 4-cusped Epicycloid
Deltoid and 3-cusped Epicycloid
Starfish
Even Smaller Area...
Osculating Circle of the Deltoid
Osculating Circle of Cardioid
Osculating Circle of Trochoid
Evolute of Astroid
Involute of the Deltoid
Tooth Wheel Coupling
Lines Enveloping the Nephroid
Cardioid Enveloped by Circles
Deltoid Sliding in Nephroid
Nephroid Sliding outside Cardioid
Epicycloids and Hypocycloids in Tight Configuration
Nephroid Sliding Outside Deltoid
Rotating Nephroids Meeting Orthogonally
Moving Orthogonal Cardioids
A Theorem of Hildebrand [1]
A Theorem of Hildebrand [2]
Goormaghtigh's Construction of Deltoid
Deltoid Circumscribing a Given Triangle
Orthogonal Tangents of Deltoid
Orthogonal Normals of Deltoid
Deltoid Sliding on Orthogonal Lines
Ellipse Tangent to Astroid
Construction of Astroid [1]
Construction of Astroid [2]
Construction of Deltoid
Construction of Cardioid
Construction of Nephroid
Nephroid as Envelope of Tangents
Deltoid as Envelope of Tangents [1]
Deltoid as Envelope of Tangents [2]
Cardioid as Envelope of Tangents
Astroid as Envelope of Tangents
Cardioid-Evolute and Involute [1]
Cardioid-Evolute and Involute [2]
Two Cardioids
Construction with the Compass Alone
Nephroid
Deltoid
Astroid
Cardioid
Osculating Circle of the Astroid
Osculating Circle of the Nephroid
Osculating Circle of the Cardioid
Osculating Circle of the Deltoid
Pole and Polar
Polar Line of a Point with respect to a Triangle
Pole of a Line with respect to a Triangle
Coaxal Conics
Other Curves
Pearl
Cashew
Pear
Freeth's Nephroid
Egg
Involute of Circle
Circles Enveloping the Lemniscate
Envelope of Circles
Conchoid of Nicomedes
Witch of Agnesi
Gerono Lemniscate
Lemniscate Constructed with the Compass Alone
Bowditch Curve and Its Tangent
Bowditch Curve Constructed with the Compass Alone
Chebyshev Polynomials
Cubic Interpolation Polynomial
Chebyshev Polynomial of Degree 3 and Its Tangent
Cissoid as a Roulette
Osculating Circle of the Cissoid
Dissection
Dudeney's Trick
Decomposition of Acute Triangles into Similar Pieces
Dissection of a Disk
Dissect One Square Into Three
Lines
Constructions Using Ruler Only
Polar Line of a Point with respect to a Triangle
Pole of a Line with respect to a Triangle
Conic Constructed with the Ruler Alone
Midpoint of a Line Segment, Given a Parallel Line
Parallel through a Given Point, Given the Midpoint
Locating Centers of Two Intersecting Circles with Ruler Alone
Design
Equivalent Area
Every Quadrilateral May be Projected into a Parallelogram
Conic Enveloped by Lines
C-Transform
Dual C-Transform
Three Parallelograms Theorem
Regular Pentagon
Construction [1]
Construction [2]
Schroeter's Construction
Regular Pentagon Constructed with the Compass Alone
Seven Circles Theorem
Miscellaneous