## Posts Tagged ‘Euclid’

## November 16, 2013 – Ivan Borsenco – The Study of Prime Numbers: from Euclid till present days

Posted in math circle, meeting, tagged Euclid, Ivan Borsenco, prime on November 13, 2013| Leave a Comment »

## October 16 – Mathematical Proofs

Posted in meeting, tagged angle bisector, Branislav Kisacanin, Cassini Identity, direct proofs, Euclid, Fibonnacci, Mathematical Problems and Proofs, proof by contradiction, proof by induction, USAMO, USAMTS on October 10, 2010| Leave a Comment »

Computing a correct answer is sufficient for most grade school work, but proving that something must be true is one of the most important skills our students can learn. This ability has immediate benefits for such important tests as USAMTS or the USAMO as well as teaching the skills of reasoning and communication that can help in any profession.

We are very fortunate to once again have a lecture by Dr. Branislav Kisačanin. Here is his description of the upcoming session:

**Introduction to Mathematical Proofs**

- As the first illustration of direct proofs we will show that angle bisectors of any triangle have a common intersection point
- As the first illustration of mathematical induction, we will prove Cassini’s identity for Fibonacci numbers
- Finally, as the first illustration of proofs by contradiction, we will look at Euclid’s proof of infinitude of primes

## Simion Filip – Geometry and Physics: from Euclid to Einstein

Posted in meeting, tagged Einstein, Euclid, geometry, physics, Princeton, Simion Filip on November 3, 2008| Leave a Comment »

This Saturday, November 8th, Simion Filip will present the way our understanding of the physical world shaped the geometric problems that we considered throughout history. Examples will be drawn mostly from elementary Euclidian geometry and the talk should be accessible to anyone who is familiar with angles and triangles.

Mr. Filip is a senior at Princeton University, studying mathematics with an interest in mathematical physics. After graduation, he plans to pursue a Ph. D. in mathematics. While in high-school, Simion Filip took part in both the International Mathematics and Informatics Olympiads, where he received silver and bronze medals respectively.