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  2. Hallade method - Wikipedia

    en.wikipedia.org/wiki/Hallade_method

    The Hallade method, devised by Frenchman Emile Hallade, is a method used in track geometry for surveying, designing and setting out curves in railway track. [1] It involves measuring the offset of a string line from the outside of a curve at the central point of a chord. In reality, string is too thick to provide a clear reading and breaks ...

  3. Orthogonal complement - Wikipedia

    en.wikipedia.org/wiki/Orthogonal_complement

    For a finite-dimensional inner product space of dimension , the orthogonal complement of a -dimensional subspace is an ()-dimensional subspace, and the double orthogonal complement is the original subspace: =.

  4. Euler's theorem in geometry - Wikipedia

    en.wikipedia.org/wiki/Euler's_theorem_in_geometry

    In geometry, Euler's theorem states that the distance d between the circumcenter and incenter of a triangle is given by [1] [2] = or equivalently + + =, where and denote the circumradius and inradius respectively (the radii of the circumscribed circle and inscribed circle respectively).

  5. Schoenflies problem - Wikipedia

    en.wikipedia.org/wiki/Schoenflies_problem

    The original formulation of the Schoenflies problem states that not only does every simple closed curve in the plane separate the plane into two regions, one (the "inside") bounded and the other (the "outside") unbounded; but also that these two regions are homeomorphic to the inside and outside of a standard circle in the plane.

  6. Algebra of sets - Wikipedia

    en.wikipedia.org/wiki/Algebra_of_sets

    The algebra of sets is the set-theoretic analogue of the algebra of numbers. Just as arithmetic addition and multiplication are associative and commutative, so are set union and intersection; just as the arithmetic relation "less than or equal" is reflexive, antisymmetric and transitive, so is the set relation of "subset".

  7. Kepler problem - Wikipedia

    en.wikipedia.org/wiki/Kepler_problem

    where (the eccentricity) and (the phase offset) are constants of integration. This is the general formula for a conic section that has one focus at the origin; e = 0 {\displaystyle e=0} corresponds to a circle , e < 1 {\displaystyle e<1} corresponds to an ellipse, e = 1 {\displaystyle e=1} corresponds to a parabola , and e > 1 {\displaystyle e ...

  8. US FDA proposes standardized testing to detect asbestos in ...

    www.aol.com/news/us-fda-proposes-standardized...

    The FDA is seeking comments on the proposed rule from the public and industry representatives for the next 90 days before finalizing the requirements. (This story has been refiled to change the ...

  9. Complemented lattice - Wikipedia

    en.wikipedia.org/wiki/Complemented_lattice

    Hasse diagram of a complemented lattice. A point p and a line l of the Fano plane are complements if and only if p does not lie on l.. In the mathematical discipline of order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every element a has a complement, i.e. an element b satisfying a ∨ b = 1 and a ∧ b = 0.

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