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A pencil of planes, is the set of planes through a given straight line in three-space, called the axis of the pencil. The pencil is sometimes referred to as a axial-pencil [7] or fan of planes or a sheaf of planes. [8] For example, the meridians of the globe are defined by the pencil of planes on the axis of Earth's rotation.
Pencil drawings were not known before the 17th century, [1] with the modern concept of pencil drawings taking shape in the 18th and 19th centuries. [1] Pencil drawings succeeded the older metalpoint drawing stylus, which used metal instead of graphite. [1] Modern artists continue to use the graphite pencil for artworks and sketches. [1]
Traditional and typical styli used for technical drawing are pencils and technical pens. Video of a 1930s dotted-line drawing pen. Pencils in use are usually mechanical pencils with a standard lead thickness. The usual line widths are 0.35 mm, 0.5 mm, 0.7 mm and 1.0 mm. Hardness varies usually from HB to 2H.
A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.
Matrix pencils play an important role in numerical linear algebra.The problem of finding the eigenvalues of a pencil is called the generalized eigenvalue problem.The most popular algorithm for this task is the QZ algorithm, which is an implicit version of the QR algorithm to solve the eigenvalue problem = without inverting the matrix (which is impossible when is singular, or numerically ...
Technical drawing, drafting or drawing, is the act and discipline of composing drawings that visually communicate how something functions or is constructed. Technical drawing is essential for communicating ideas in industry and engineering .