On trochoids, roses and rosettes
Date of Publication
1997
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/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.
Abstract Format
html
Language
English
Format
Accession Number
TU08298
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
55 leaves
Keywords
Epicycloids and hypocycloids; Programming (Mathematics); Cycloids; Functions; Trochoids
Recommended Citation
Chua, D. C., & Dy, J. A. (1997). On trochoids, roses and rosettes. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16438
