Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the...

known as the Fermat point of the triangle formed by the three vertices. (If the three points are collinear then the geometric median is the point between the...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...

Fermat number Fermat point Fermat–Weber problem Fermat polygonal number theorem Fermat polynomial Fermat primality test Fermat pseudoprime Fermat quintic threefold...

associated with a triangle like the Fermat point, nine-point center, Lemoine point, Gergonne point, and Feuerbach point were discovered. During the revival...

Fermat's principle, also known as the principle of least time, is the link between ray optics and wave optics. Fermat's principle states that the path...

Fermat's Last Theorem is a popular science book (1997) by Simon Singh. It tells the story of the search for a proof of Fermat's Last Theorem, first conjectured...

problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although...

mathematician Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer...

three, and the three edges incident to such a point must form three 120 degree angles (see Fermat point). It follows that the maximum number of Steiner...

any such point, depending on the specific triangle having that particular orthocentroidal disk. Furthermore, the Fermat point, the Gergonne point, and the...

BY, CZ are concurrent, at a point N called the Jacobi point. The Jacobi point is a generalization of the Fermat point, which is obtained by letting...

the solution to the Steiner tree problem for those three vertices The Fermat point of a triangle, the solution to the Steiner tree problem for the three...

near market. Weber's point of optimal transportation is a generalization of the Fermat point problem. In its simplest form, the Fermat problem consists in...

Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Sir Andrew Wiles of a special case of the modularity theorem for elliptic curves...

theory and Diophantine geometry. For example, Fermat's Last Theorem may be restated as: for n > 2, the Fermat curve of equation x n + y n = 1 {\displaystyle...

A Fermat's spiral or parabolic spiral is a plane curve with the property that the area between any two consecutive full turns around the spiral is invariant...

stationary point (the function's derivative is zero at that point). Fermat's theorem is a theorem in real analysis, named after Pierre de Fermat. By using...

Fermat's factorization method, named after Pierre de Fermat, is based on the representation of an odd integer as the difference of two squares: N = a...

In additive number theory, Fermat's theorem on sums of two squares states that an odd prime p can be expressed as: p = x 2 + y 2 , {\displaystyle p=x^{2}+y^{2}...

with F is the first (or second) Fermat point, let K be arbitrary point on the Kiepert hyperbola. Let P be arbitrary point on line FK. The line through P...

Algebraic point Associated point Base point Closed point Divisor point Embedded point Extreme point Fermat point Fixed point Focal point Geometric point Hyperbolic...

point inside a quadrilateral that minimizes the sum of distances to the vertices is the intersection of the diagonals. Hence that point is the Fermat...

called the Fermat-Torricelli points, sometimes denoted F1 and F2. The intersection of the Fermat line (i.e., that line joining the two Fermat-Torricelli...

figure Torricelli point or Fermat point, a point such that the total distance from the three vertices of the triangle to the point is the minimum possible...

Each point in the list is identified by an index number of the form X(n) —for example, X(1) is the incenter. The information recorded about each point includes...

entire domain (the global or absolute extrema) of a function. Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality...

with F is the first (or second) Fermat point, let K be arbitrary point on the Kiepert hyperbola. Let P be arbitrary point on line FK. The line through P...

as the area goes to zero, the circular triangle shrinks towards the Fermat point of the given three points. Hart circle, a circle associated with certain...

of Oxford, specialising in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017...