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Wolfram Research
Wolfram Math World: Hyperboloid
This Math World site explains how the hyperboloid is created from a hyperbola, illustrated with graphs. The site then goes into detail giving the parametric and cartesian equations for a one sheeted hyperboloid and then the two sheeted...
University of St. Andrews (UK)
University of St. Andrews: Hyperbola
This University of St. Andrews site gives the parametric and cartesian equation for a hyperbola along with an example graph. The site offers links to related curves.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Conic Sections
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
Other
College of the Redwoods: Conchoid Nicomedes
This resource derives the equations and gives several examples of Conchoid Nicomedes.
University of St. Andrews (UK)
University of St. Andrews: Involute of a Circle
This site from the University of Saint Andrews shows the involute of a circle graphically and gives brief history. Cartesian equation is given.
Texas Instruments
Texas Instruments: Numb3 Rs: Cycloid I
Based off of the hit television show NUMB3RS, this lesson is more about student prediction and reasoning than actual formal math. In the lesson, students are to propose the shape that would be formed by a point on a bicycle tire, while...
Interactive Mathematics
Interactive Mathematics: Lissajous Figures
Students examine a special case of parametric equations called Lissajous figures. Definitions, graphs, and detailed examples are included.
Other
Personal: Astroid
Excellent personal site! Gives the complete history of the astroid and has lots of pictures, graphs, and even videos!
Math2
Math2: Circles
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
Khan Academy
Khan Academy: Solve for T
In this seven-problem quiz/practice students parameterize rays by solving for t.
Khan Academy
Khan Academy: Ray Intersection With Line
In this seven-question quiz/practice students find where a ray intersects with a line in implicit form.
Other
College of the Redwoods: The Epicycloid
This resource gives a brief description and history lesson. Shows you how to use epicycloids.
Other
College of the Redwoods: Nephroid
This resource describes what a nephroid is and what it looks like in graph form.
National Council of Teachers of Mathematics
The Math Forum: Circles
Various forms of equations of circles are presented at the Math Forum: center-radius form, general form, diameter form, three-point form, and parametric form.
Texas Instruments
Texas Instruments: Vectors Vocabulary Quiz
This can be used as a short vocabulary quiz for vector definitions.
Other
College of the Redwoods: Special Plane Curves
This resource gives a report on asteroids including brief history and pictures.
University of St. Andrews (UK)
University of St. Andrews: Cissoid of Diocles
This site, which is provided for by the University of St. Andrews, describes the properties behind cissoids and graphs them.
University of St. Andrews (UK)
University of St. Andrews: Lissajous Curves
This site, which is provided for by the University of St. Andrews, allows you to zoom in/out and add evolutes, involutes, etc.
University of St. Andrews (UK)
University of St. Andrews: Involute of a Circle
This site, which is provided for by the University of St. Andrews, allows you to zoom in/out and add evolutes, involutes, etc.
University of St. Andrews (UK)
University of St. Andrews: Conchoid of De Sluze Applet
Zoom in and out, and add evolutes, involutes, etc.
University of St. Andrews (UK)
University of St. Andrews: Astroid
This site from the University of St. Andrews allows you to zoom in/out and add evolutes, involutes, etc.
University of St. Andrews (UK)
University of St. Andrews: Epicycloid
Very cool site. Allows you to zoom in/out and add evolutes, involutes, etc.
Wolfram Research
Wolfram Math World: Folium of Descartes
This site gives the parametric, cartesian, and polar equations for this plane curve. Also given is the point of discontinuity, equation for the asymptote, and area under the curve.
University of St. Andrews (UK)
University of St. Andrews: Hypocycloid
Shows the graph and the parametric cartesian equation. The site also includes links to graphs of related curves and definitions of the associated curves.