Elementary Differential Geometry with GeoGebra
1. Introduction
1. Some introductions
2. The derivative and some approximations
1. The Derivative of a function
2. Taylor Polynomial
3. Linear approximation of a plane curve
4. Osculating circle of a plane curve
5. Tangent vector of a plane curve
6. Arc length parameter
7. Tangent vector of a space curve
3. Curves with constant length
1. A curve with constant width
2. A curve with constant width
3. A Polynomial Curve of Constant Width
4. Locus is a list.
1. List commands
2. Listing a ingegral curve
3. Delaunay curve
4. The curve whose curvature is a function

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Elementary Differential Geometry with GeoGebra

Tatsuyoshi Hamada, Jun 29, 2015

Tatsuyoshi Hamada (Fukuoka University / OCAMI, JAPAN)

Introduction
1. Some introductions
The derivative and some approximations
1. The Derivative of a function
2. Taylor Polynomial
3. Linear approximation of a plane curve
4. Osculating circle of a plane curve
5. Tangent vector of a plane curve
6. Arc length parameter
7. Tangent vector of a space curve
Curves with constant length
1. A curve with constant width
2. A curve with constant width
3. A Polynomial Curve of Constant Width
Locus is a list.
1. List commands
2. Listing a ingegral curve
3. Delaunay curve
4. The curve whose curvature is a function

Introduction

1. Some introductions

Some introductions

Tatsuyoshi Hamada (Fukuoka University / OCAMI, JAPAN)

Distance of Linz to Fukuoka is 8945 kilometers.

Chief editor of MathLibre Project. http://www.mathlibre.org/

We have over 100 mathematical software systems in one DVD.[br]You can download DVD ISO image from our website, it's an open source project.[br][br]If you're familiar with Linux and GitHub, you can modify it and make your native language edition. Of course, you can redistribute it, freely.

2.

The derivative and some approximations

1. The Derivative of a function
2. Taylor Polynomial
3. Linear approximation of a plane curve
4. Osculating circle of a plane curve
5. Tangent vector of a plane curve
6. Arc length parameter
7. Tangent vector of a space curve

2.1.

The Derivative of a function

The derivative is presented as the slope of the tangent line to a graph of a curve. This gives the definition of the derivative of a real-valued function [math] f: R [math]\rightarrow R [/math][/math]