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The word line may also refer, in everyday life, to a line segment, which is a part of a line delimited by two points (its endpoints). Euclid's Elements defines a straight line as a "breadthless length" that "lies evenly with respect to the points on itself", and introduced several postulates as basic unprovable properties on which the rest of ...
When A is a unital real algebra, the products of real numbers with 1 is a real line within the algebra. For example, in the complex plane z = x + iy, the subspace {z : y = 0} is a real line. Similarly, the algebra of quaternions. q = w + x i + y j + z k. has a real line in the subspace {q : x = y = z = 0 }.
A strict definition of a triangle centre is a point whose trilinear coordinates are f(a,b,c) : f(b,c,a) : f(c,a,b) where f is a function of the lengths of the three sides of the triangle, a, b, c such that: f is homogeneous in a, b, c; i.e., f(ta,tb,tc)=t h f(a,b,c) for some real power h; thus the position of a centre is independent of scale.
An example is the number line, each point of which is described by a single real number. [1] Any straight line or smooth curve is a one-dimensional space, regardless of the dimension of the ambient space in which the line or curve is embedded. Examples include the circle on a plane, or a parametric space curve.
The Euler line of a triangle is a line passing through its circumcenter, centroid, and orthocenter, among other points. The incenter generally does not lie on the Euler line; [16] it is on the Euler line only for isosceles triangles, [17] for which the Euler line coincides with the symmetry axis of the triangle and contains all triangle centers.
Wooden Dienes blocks in units of 1, 10, 100 and 1000 Plastic Dienes blocks in use. Base ten blocks, also known as Dienes blocks after popularizer Zoltán Dienes (Hungarian: [ˈdijɛnɛʃ]), are a mathematical manipulative used by students to practice counting and elementary arithmetic and develop number sense in the context of the decimal place-value system as a more concrete and direct ...
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Geometric objects with a well-defined axis include circles (any line through the center), spheres, cylinders, [2] conic sections, and surfaces of revolution. Concentric objects are often part of the broad category of whorled patterns , which also includes spirals (a curve which emanates from a point, moving farther away as it revolves around ...