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A plane containing a cross-section of the solid may be referred to as a cutting plane. The shape of the cross-section of a solid may depend upon the orientation of the cutting plane to the solid. For instance, while all the cross-sections of a ball are disks, [2] the cross-sections of a cube depend on how the cutting plane is related to the ...
Sections are studied in homotopy theory and algebraic topology, where one of the main goals is to account for the existence or non-existence of global sections. An obstruction denies the existence of global sections since the space is too "twisted". More precisely, obstructions "obstruct" the possibility of extending a local section to a global ...
In algebra, sections are also called split monomorphisms and retractions are also called split epimorphisms. In an abelian category , if f : X → Y {\displaystyle f:X\to Y} is a split epimorphism with split monomorphism g : Y → X {\displaystyle g:Y\to X} , then X {\displaystyle X} is isomorphic to the direct sum of Y {\displaystyle Y} and ...
Cross section (fiber), microscopic view of textile fibers. Section (fiber bundle) , in differential and algebraic geometry and topology, a section of a fiber bundle or sheaf Cross-sectional data , in statistics, econometrics, and medical research, a data set drawn from a single point in time
In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter.
Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
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