On trochoids, roses and rosettes
This thesis is an exposition about certain properties of the Spirograph namely trochoids, roses and rosettes. Trochoids, which are sometimes called roulette, epitrochoid or hypotrochoid, have a fixed circle and a rolling circle outside or inside it. The result of the epitrochoid would be cardioid, l...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1997
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16438 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is an exposition about certain properties of the Spirograph namely trochoids, roses and rosettes. Trochoids, which are sometimes called roulette, epitrochoid or hypotrochoid, have a fixed circle and a rolling circle outside or inside it. The result of the epitrochoid would be cardioid, limacons, while the hypotrochoid would produce roses, rosettes. The equations used differ from that of Leon Hall. The researchers found some errors in the derivation of the formulas in A Catalog Special Plane Curves by J. Dennis Lawrence, which Leon Hall used. Theorems written in the article were proved in detail and through the aid of other references. A program was made in order to visualize the graph clearly. The graph will be shown drawing continuously. |
|---|