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History of Maths
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1. Classical Curves - Loci
- Astroid - A Classical Construction
- Limaçon / Cardioid as a Locus - A Classical Construction
- Rose Curve - A Classical Construction
- Witch of Agnesi - A Classical Construction
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2. Envelopes
- Ellipse as Envelope - Correspondence Method
- Ellipse, Hyperbola and Circle as Envelopes
- "Compressed" Astroid as Envelope
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3. Other Constructions
- Ogee Arch - Construction
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4. Plane Surfaces
- Pelecoid
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5. 3D Curves and Surfaces
- Viviani's Window
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History of Maths
Simona Riva, Jun 8, 2024
Collection of worksheets about History of Mathematics: classical constructions, curves as loci of points, envelopes...
Table of Contents
- Classical Curves - Loci
- Astroid - A Classical Construction
- Limaçon / Cardioid as a Locus - A Classical Construction
- Rose Curve - A Classical Construction
- Witch of Agnesi - A Classical Construction
- Envelopes
- Ellipse as Envelope - Correspondence Method
- Ellipse, Hyperbola and Circle as Envelopes
- "Compressed" Astroid as Envelope
- Other Constructions
- Ogee Arch - Construction
- Plane Surfaces
- Pelecoid
- 3D Curves and Surfaces
- Viviani's Window
Astroid - A Classical Construction
Classical construction of the astroid as a locus.
To generate the locus, move point along the circle, or use the animation button on top right of the app.
Ellipse as Envelope - Correspondence Method
Consider the function .
Represent domain and range of this function respectively over two parallel reference axes.
The segments that join each point of the domain with the corresponding point of the range are the envelope of an ellipse.
Use the sliders distance and to change the distance between axes and the relative position of the Origin points on the two axes.
Ogee Arch - Construction
Step-by-step construction of an ogee arch, architectural structure of Indian origin - third century B.C.
Viviani's Window
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