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  2. List of measuring instruments - Wikipedia

    en.wikipedia.org/wiki/List_of_measuring_instruments

    osmotic strength of a solution, colloid, or compound matter of an object parking meter: collects moneys for vehicle parking rights in a zone for a limited time pedometer: steps pH meter: pH (chemical acidity/basicity of a solution) photometer: illuminance or irradiance planometer: area polarimeter: rotation of polarized light potentiometer

  3. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

  4. Curvature - Wikipedia

    en.wikipedia.org/wiki/Curvature

    A migrating wild-type Dictyostelium discoideum cell whose boundary is colored by curvature. Scale bar: 5 μm. In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane.

  5. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    In taxicab geometry, p = 1. Taxicab circles are squares with sides oriented at a 45° angle to the coordinate axes. While each side would have length using a Euclidean metric, where r is the circle's radius, its length in taxicab geometry is 2r. Thus, a circle's circumference is 8r.

  6. Ricci curvature - Wikipedia

    en.wikipedia.org/wiki/Ricci_curvature

    In differential geometry, the determination of lower bounds on the Ricci tensor on a Riemannian manifold would allow one to extract global geometric and topological information by comparison (cf. comparison theorem) with the geometry of a constant curvature space form.

  7. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is a polyhedron that bounds a convex set.

  8. Convex hull - Wikipedia

    en.wikipedia.org/wiki/Convex_hull

    However, in higher dimensions, variants of the obstacle problem of finding a minimum-energy surface above a given shape can have the convex hull as their solution. [ 5 ] For objects in three dimensions, the first definition states that the convex hull is the smallest possible convex bounding volume of the objects.

  9. Euclidean planes in three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_planes_in_three...

    In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line. It is the entire line if that line is embedded in the plane, and is the empty set if the line is parallel to the plane but outside it.