1887

n Learning and Teaching Mathematics - Similarity of parabolas - a geometrical perspective

Volume 2011, Issue 11
  • ISSN : 1990-6811

Abstract

The issue of similarity of parabolas can be discussed from both algebraic and geometrical perspectives. Through an algebraic lens, Kumpel (1975) examined this issue and proved the surprising fact that any two parabolas are similar. In this paper we examine the similarity of parabolas by employing geometrical considerations and suggest an approach to determine the similarity ratio. Finally, we show that in an analogy to similarity of polygons, similarity of parabolas preserves ratios of distances, and that the ratio of corresponding areas is the square of this similarity ratio.

Loading full text...

Full text loading...

Loading

Article metrics loading...

/content/amesal/2011/11/EJC20686
2011-08-01
2019-12-10

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error