|
By DRIPTO BISWAS, Kolkata, India In this article, I attempt a semi rigorous proof of a particular property of simple, closed, smooth plane curves. We consider a closed, simple, plane curve C(x,y) ε R^2, which is smooth and well-behaved. We shall prove that there exists infinitely many quadruplets (A,B,C,D) of points A,B,C,D which form a parallelogram. We shall also prove a claim, which shall show that these infinitely many parallelograms are found in infinitely many orientations as well. |
Search for research papers, project reports and scholarly articles by high school students on Questioz. Search by title, author, subject, or keywords.
View Articles by Academic Field
All
Archives
June 2017
Subscribe |
RSS Feed
QUESTION. QUIP. QUESTIOZ.
TERMS AND CONDITIONS |
STAY IN THE KNOW |
|
Questioz cannot be held responsible for any violation of academic integrity. The intellectual property of all contributing researchers will be respected and protected. Questioz reserves the non-exclusive right to republish submitted material with attribution to the author in any other format, including all print, electronic and online media. However, all individual contributors to Questioz retain the right to submit their work for non-exclusive publication elsewhere.
|
|