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Tools

Ryan Hirst, Doug Kuhlmann, hüseyin, Jun 28, 2018

Geogebra tools (.ggt) + worksheets showing their construction.

Lines, Rays, Segments
1. Trimmed lines
2. Tool: Trimmed Line, 3 points
3. Segment Label
4. Intersect Polygon and Ray
5. Intersect Polygon and Line
6. Intersect Polygon and Segment
7. Intersect View Rectangle
8. Tool: Light Reflection 1
Triangles
1. Tool: Altitude of a triangle
2. Vectors: Incircle
Arcs
1. Arc Arrow 1
2. Trimmed Arc 1
3. Trace an Arc, 1
4. Tool: Circular Arc
5. Signed angle
Interface (animation, etc)
1. Make a Color Picker
2. Natural Interpolation
3. Simple Cubic Interpolation
4. Interpolation 2: Rotation
User Panel
1. Screen Coordinates
2. Parent, Child
3. Floating Panel
4. User Panel: Lines
5. User Panel: Lines 2
6. User panel: Circle
More tools
1. Ellipse from two vectors, 2
Numerical Analysis
1. Tool: Cubic Spline (Construction)

Information

Lines, Rays, Segments

Trimmed lines

Triangles

1. Tool: Altitude of a triangle
2. Vectors: Incircle

Tool: Altitude of a triangle

Tool (.ggt): http://www.geogebratube.org/material/show/id/87369 Altitude[A,B,C, m]

Notes: The angle that the altitude makes with the base is correct. This cannot be done with the tools in GGB, which uses a pretend angle system.

Arcs

1. Arc Arrow 1
2. Trimmed Arc 1
3. Trace an Arc, 1
4. Tool: Circular Arc
5. Signed angle

Arc Arrow 1

The arc is oriented. It respects the equivalence of these three statements:

Arc BC subtends central angle BAC,

There is a one-to-one correspondence between points on arc BC and points on segment BC.

The arc respects minimum rotation. We may then preserve measure: |BC| (magnitude) is the distance from B to C (direction). |∡BAC| (magnitude) is the angle from B to C (direction/sign).

Arc Arrow 1

Interface (animation, etc)

1. Make a Color Picker
2. Natural Interpolation
3. Simple Cubic Interpolation
4. Interpolation 2: Rotation

Make a Color Picker

User Panel

Screen Coordinates

I would like points that stay put on the screen. Here are some requirements: -stay pinned to screen coordinates -stay in the viewport -they may be freely moved -we may use them as reference points for other objects.