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Multimedia: Complete Catalog

Equations of Lines

Equations of Lines
Eqn of a Horizontal Line
Horizontal Line:
how to find the equation

(1.43M, audio)
Eqn of a Vertical Line
Vertical Line:
how to find the equation

(1.46M, audio)
Eqn of a line, point-slope
Point and Slope:
How to find the equation of a line

(4.13M, audio)
Eqn of a line, two points
Two Points:
How to find the equation of a line

(5.5M, audio)

Geometer's Sketchpad Unit Circle
Requires Geometer's Sketchpad
(download Sketchpad without purchasing it to view this document)

Unit circle on Geometer's Sketchpad


Graphs of Sine and Cosine (QuickTime)


Graph of  f(θ) = sin θ

Graph of  f(θ) = cos θ

Animation: Values of Tangent
Requires Geometer's Sketchpad
(download Sketchpad without purchasing it to view this document)


The values of the tangent function as the terminal side rotates counterclockwise

Conic Sections



Ellipse: Sum of distances
from the foci is constant

(182K)


Conic Sections Defined by Eccentricity
Java Sketchpad version (Java enabled browser required)
Geometer's Sketchpad version (GSP 4 required)

Conic Sections Defined by Eccentricity
1. Move the slider for eccentricity and see what kind of conic section you get.
2. Move the focus to see what impact that has on the figure.
3. Move a point on the directrix to show that no matter what point is taken on the curve, the ratio of the distance to the focus over the distance to the directrix always equals the eccentricity.


Calculus

How to Find Volumes by Parallel Cross-Sections


Parallel Cross-Section Figures


Equilateral Triangles

(363K)


Squares

(366K)

Squares (on diagonal)

(331K)

Circles

(1.9M)

Quadric Surfaces

Get free Graphing Calculator viewer    |    Get free Winplot software (Windows only)

Circular Paraboloid
Movie clip (Quicktime)
Graphing Calculator version

Elliptic Paraboloid
Movie clip (Quicktime)
Graphing Calculator version

Hyperbolic Paraboloid
Movie clip (Quicktime)
Graphing Calculator version

Circular Hyperboloid (1 sheet)
Movie clip (Quicktime)
Graphing Calculator version

Circular Hyperboloid (2 sheets)
Movie clip (Quicktime)
Graphing Calculator version

Circular Cone
Movie clip (Quicktime)
Graphing Calculator version

Elliptic Hyperboloid (1 sheet)
Movie clip (Quicktime)
Graphing Calculator version

Elliptic Hyperboloid (2 sheets)
Movie clip (Quicktime)
Graphing Calculator version

Elliptic Cone
Movie clip (Quicktime)
Graphing Calculator version

Circular Cylinder
Movie clip (Quicktime)
Graphing Calculator version

Elliptic Cylinder
Movie clip (Quicktime)
Graphing Calculator version

Parabolic Cylinder
Movie clip (Quicktime)
Graphing Calculator version

Hyperbolic Cylinder
Movie clip (Quicktime)
Graphing Calculator version

Sphere
Movie clip (Quicktime)
Graphing Calculator version

Prolate Spheroid
Movie clip (Quicktime)
Graphing Calculator version

Oblate Spheroid
Movie clip (Quicktime)
Graphing Calculator version

Ellipsoid
Movie clip (Quicktime)
Graphing Calculator version


Morphing Quadric Surfaces
Move coefficient sliders
Graphing Calculator version


Mobius-Related Figures


Mobius Triangle (with writing)

(1.8M)

Mobius Strip (with writing)

(3.0M)
 
Mobius Triangle (Rainbow)

(460K)
 
Mobius Strip (with Turing poster)

(4.9M)
 
Mobius Twist

(2.3M)
 
Untwisted Braid

(3.3M)
 
Pulsing Twist Braid

(712K)
 
Pulsing Party Decoration

(1.4M)

Striated Torus

(2.9M)

Lampshade

(3.1M)

 Crown

(3.1M)
 
Spiraling Loop

(2.1M)

Pinwheel

(2.3M)
 
Snowflake

(1.1M)

Miscellaneous


Tautochrone--sliding
beads on a cycloid

(257K)


Sphere (with writing)

(6.4M)

Polyhedra Morphing Figures

The Quicktime version is a movie clip.
The Graphing Calculator version is interactive. It requires a free viewer, which is available here for both PC and Mac platforms.

Cube-Octahedron
Morph
QuickTime (2.6M)
Graphing Calculator (3K)
Cube-Dodecahedron
Morph
QuickTime (1.2M)
Graphing Calculator (4K)
Cube-Icosahedron
Morph
QuickTime (15.3M)
Graphing Calculator (8K)