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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 + = (+).
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:
Steinitz theorem (graph theory) Stewart's theorem (plane geometry) Stinespring factorization theorem (operator theory) Stirling's theorem (mathematical analysis) Stokes's theorem (vector calculus, differential topology) Stolper–Samuelson theorem ; Stolz–Cesàro theorem
One very common theorem used likewise is the angle bisector theorem. Stewart's theorem - When asked not for the ratios of lengths but for the actual lengths themselves, Stewart's theorem may be used to determine the length of the entire segment, and then mass points may be used to determine the ratios and therefore the necessary lengths of ...
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SS R.G. Stewart, a Lake Superior shipwreck off the coast of Wisconsin; Stewart Grand Prix, later known as Jaguar Racing, now known as Red Bull Racing; Stewart's theorem, a geometry theorem; Stewart–Tolman effect, physics
Stibitz code-- Stibitz–Gray code-- Stick number-- Stickelberger's theorem-- Stiefel manifold-- Stiefel–Whitney class-- Stieltjes constants-- Stieltjes matrix-- Stieltjes moment problem-- Stieltjes polynomials-- Stieltjes transformation-- Stieltjes–Wigert polynomials-- Stiff equation-- Stiffness matrix-- Stigler diet-- Stigler's law of ...
Download QR code; Print/export Download as PDF; Printable version; In other projects ... Saccheri–Legendre theorem; Stewart's theorem; Sylvester's triangle problem; T.