Title

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 Department

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

Print

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

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