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Many shapes have metaphorical names, i.e., their names are metaphors: these shapes are named after a most common object that has it. For example, "U-shape" is a shape that resembles the letter U, a bell-shaped curve has the shape of the vertical cross section of a bell, etc.
In geometry, a motion is an isometry of a metric space. For instance, a plane equipped with the Euclidean distance metric is a metric space in which a mapping associating congruent figures is a motion. [1] More generally, the term motion is a synonym for surjective isometry in metric geometry, [2] including elliptic geometry and hyperbolic ...
The ability to construct conceptual metaphors is neurologically based, and enables humans to reason about one domain using the language and concepts of another domain. Conceptual metaphor is both what enabled mathematics to grow out of everyday activities, and what enables mathematics to grow by a continual process of analogy and abstraction;
The movement of each of the components of the Boulton & Watt Steam Engine (1784) is modeled by a continuous set of rigid displacements. The position of one component of a mechanical system relative to another is defined by introducing a reference frame, say M , on one that moves relative to a fixed frame, F, on the other.
There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.
Tomiko Itooka, who became the world's oldest living person, died last week at age 116. Brazilian nun Inah Canabarro Lucas is now the new world's oldest person.
The groom disagreed with his wife, countering that his friend was "just joking." "But I don’t find anything funny about that," the bride insisted.
By observing parallax, measuring angles, and using geometry, one can determine distance. Distance measurement by parallax is a special case of the principle of triangulation , which states that one can solve for all the sides and angles in a network of triangles if, in addition to all the angles in the network, the length of at least one side ...