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Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).
Steinitz theorem (graph theory) Stewart's theorem (plane geometry) Supporting hyperplane theorem (convex geometry) Sylvester–Gallai theorem (plane geometry) Szemerédi–Trotter theorem (combinatorics) Tverberg's theorem (discrete geometry) Vitali covering theorem (measure theory) Wallace–Bolyai–Gerwien theorem (discrete geometry)
A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants.
The length of a cevian can be determined by Stewart's theorem: in the diagram, the cevian length d is given by the formula + = (+). Less commonly, this is also represented (with some rearrangement) by the following mnemonic:
Proof of Apollonius's theorem. The theorem can be proved as a special case of Stewart's theorem, or can be proved using vectors (see parallelogram law). The following is an independent proof using the law of cosines. [1] Let the triangle have sides ,, with a median drawn to side .
In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration. This involves some sort of interactive proof editor, or other interface , with which a human can guide the search for proofs, the details of which are ...
The following other wikis use this file: Usage on ar.wikipedia.org شيفي; Usage on id.wikipedia.org Teorema Stewart; Cevian; Usage on ja.wikipedia.org
In mathematics, the nth-term test for divergence [1] is a simple test for the divergence of an infinite series:. If or if the limit does not exist, then = diverges.. Many authors do not name this test or give it a shorter name.
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