Publication detail

Animation and normal envelope of cyclic curves with Maple

PROCHÁZKOVÁ, J.

Czech title

Animace a obálky tečen cyklických křivek se softwarem Maple

English title

Animation and normal envelope of cyclic curves with Maple

Type

conference paper

Language

en

Original abstract

A cyclic curve is generated by a point of a circle that rolls (without slipping) on a given curve. In this article we show some procedure to generate different types of cyclic curve (cycloid, hypocycloid, epicycloid) in Maple. We also deal a normal envelope of these curves.

Czech abstract

Cyklické křivky vznikají pohybem dvou křivek, z nichž alespoň jedna je kružnicí. V následujícím článku je jednak popis teorie týkající se cyklických křivek, ale také ukázka naprogramovaných procedur ke jejich vykreslení v softwaru Maple. Obsahuje také moduly pro výpočet obálky normál.

English abstract

A cyclic curve is generated by a point of a circle that rolls (without slipping) on a given curve. In this article we show some procedure to generate different types of cyclic curve (cycloid, hypocycloid, epicycloid) in Maple. We also deal a normal envelope of these curves.

Keywords in Czech

cyklické křivky, obálky křivek

Keywords in English

cyclic curve, envelope, Maple

RIV year

2007

Released

09.02.2007

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava, SR

ISBN

978-80-969562-5-8

Book

Aplimat 2007

Pages from–to

407–412

Pages count

6

BIBTEX


@inproceedings{BUT21986,
  author="Jana {Procházková},
  title="Animation and normal envelope of cyclic curves with Maple",
  booktitle="Aplimat 2007",
  year="2007",
  month="February",
  pages="407--412",
  publisher="Slovak University of Technology in Bratislava",
  address="Bratislava, SR",
  isbn="978-80-969562-5-8"
}