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
March 2021
Subscribe |