Mechanical Linkages

reSolve: Maths by Inquiry, Sep 14, 2017

These resources are part of the Special Topic [i]Mechanical Linkages and Deductive Geometry[/I]. Lesson plans can be found at www.reSolve.edu.au. The topic aims to show students that there is mathematics in the world around them. With the aid of physical models and computer simulation, the lessons move from a view of geometry as a study of static diagrams to also encompass movement. An important goal is to give students experience of deductive reasoning and a reason to engage in it.

Table of Contents

  1. Angles and Lines
    1. Protractor
  2. Quadrilateral Linkages
    1. Car Jack
    2. Scissor Lift
    3. Folding Umbrella
    4. Toolbox
    5. Cherry Picker
    6. Angle Bisector 1
    7. Angle Bisector 2
  3. Similar Triangles
    1. Pantograph
    2. Pantograph Pivot C
    3. Ironing Table 1
    4. Ironing Table 2
    5. Ironing Table 3
  4. Proof
    1. Chebycheff's Linkage
    2. Scott Russell Linkage
    3. Pascal's Angle Machine
    4. Consul
    5. Sylvester's Pantograph
    6. Peaucellier's Linkage
    7. Peaucellier's Linkage Proof

1.

Angles and Lines

  • 1. Protractor

1.1.

Protractor

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2.

Quadrilateral Linkages

  • 1. Car Jack
  • 2. Scissor Lift
  • 3. Folding Umbrella
  • 4. Toolbox
  • 5. Cherry Picker
  • 6. Angle Bisector 1
  • 7. Angle Bisector 2

2.1.

Car Jack

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2.2.

–

2.3.

–

2.4.

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2.5.

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2.6.

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2.7.

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3.

Similar Triangles

  • 1. Pantograph
  • 2. Pantograph Pivot C
  • 3. Ironing Table 1
  • 4. Ironing Table 2
  • 5. Ironing Table 3

3.1.

Pantograph

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3.2.

–

3.3.

–

3.4.

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3.5.

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4.

Proof

  • 1. Chebycheff's Linkage
  • 2. Scott Russell Linkage
  • 3. Pascal's Angle Machine
  • 4. Consul
  • 5. Sylvester's Pantograph
  • 6. Peaucellier's Linkage
  • 7. Peaucellier's Linkage Proof

4.1.

Chebycheff's Linkage

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4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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