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Leonhard Euler 1707 - 1783

Leonhard Euler 1707 - 1783. By Laura Mastin. Quick ‘Life’ Facts. Born in Switzerland Attended the University of Basel Completed Master’s degree when 16 Tutored by Johann Bernoulli at Basel (Father of Daniel Bernoulli) Lost sight in one eye after working on a proof for 3 straight days.

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Leonhard Euler 1707 - 1783

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  1. Leonhard Euler1707 - 1783 By Laura Mastin

  2. Quick ‘Life’ Facts • Born in Switzerland • Attended the University of Basel • Completed Master’s degree when 16 • Tutored by Johann Bernoulli at Basel (Father of Daniel Bernoulli) • Lost sight in one eye after working on a proof for 3 straight days

  3. Fermat’s Number Theory • Rediscovered Fermat’s Number Theory • An algorithm used to conclude if a number is prime or not • N = a whole number • P = the ‘prime’ number in question • (NP-N)/P = A • If A is a whole number, then P is prime.

  4. Euler’s Theorem • Given a Solid Polyhedron: • V=number of vertices • E=number of edges • F=number of faces • V – E + F = 2 • Useful in finding whether a polyhedron with a given amount of vertices, edges, or faces is possible. • Later discovered this formula only holds true for ‘Simple Polyhedron”

  5. Euler’s Line • Discovered the equation for the line called The Euler Line • A line found in any non-equilateral triangle • This line includes the Triangle’s centroid, orthocenter, and circumcenter

  6. Additional Contributions • First person to use Sine and Cosine as functions of an angle and define them using the Unit Circle • Euler proved modern day “Newton’s Law” • Euler invented using the letter e as the number representing the base of the natural logarithm

  7. 3 Important Points • Rediscovered and proved Fermat’s number theory • Responsible for using e to represent the base of the natural logarithm • Euler’s Line • Line containing orthocenter, centroid, and circumcenter of a non-equilateral triangle

  8. Sources Berlinghoff, William, Gouvêa, Fernando, & , . (2002). Math through the ages: a gentle history for teachers and others. Farmington, Maine: Oxton House Pub. Bradley, R.E., & Sandifer, C.E. (2007). Leonhard euler: life, work and legacy. Netherlands: Elsevier. Boyer, C.B. (n.d.). Science and technology: Leonhard Euler. Britanica encyclopedia. Retrieved (2010, January 30) from http://www.britannica.com/EBchecked/topic/195201/Leonhard-Euler U.s. centennial flight of commission. (n.d.). Retrieved from http://www.centennialofflight.gov/essay/Dictionary/Euler/DI144.htm Kirk, A. (2007, June). Euler's polyhedron formula. Retrieved from http://plus.maths.org/issue43/features/kirk/ Number theory - fermat's theorem. (n.d.). Retrieved from http://science.jrank.org/pages/4771/Number-Theory-Fermat-s-theorem.html

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