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  2. Intersection curve - Wikipedia

    en.wikipedia.org/wiki/Intersection_curve

    In geometry, an intersection curve is a curve that is common to two geometric objects. In the simplest case, the intersection of two non-parallel planes in Euclidean 3-space is a line . In general, an intersection curve consists of the common points of two transversally intersecting surfaces , meaning that at any common point the surface ...

  3. Surface-to-surface intersection problem - Wikipedia

    en.wikipedia.org/wiki/Surface-to-surface...

    The surface-to-surface intersection (SSI) problem is a basic workflow in computer-aided geometric design: Given two intersecting surfaces in R 3, compute all parts of the intersection curve. If two surfaces intersect, the result will be a set of isolated points, a set of curves, a set of overlapping surfaces, or any combination of these cases. [1]

  4. Steinmetz solid - Wikipedia

    en.wikipedia.org/wiki/Steinmetz_solid

    The generation of a bicylinder Calculating the volume of a bicylinder. A bicylinder generated by two cylinders with radius r has the volume =, and the surface area [1] [6] =.. The upper half of a bicylinder is the square case of a domical vault, a dome-shaped solid based on any convex polygon whose cross-sections are similar copies of the polygon, and analogous formulas calculating the volume ...

  5. Steinmetz curve - Wikipedia

    en.wikipedia.org/wiki/Steinmetz_curve

    A Steinmetz curve is the curve of intersection of two right circular cylinders of radii and , whose axes intersect perpendicularly. In case of a = b {\displaystyle a=b} the Steimetz curves are the edges of a Steinmetz solid .

  6. Intersection (geometry) - Wikipedia

    en.wikipedia.org/wiki/Intersection_(geometry)

    In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the line–line intersection between two distinct lines, which either is one point (sometimes called a vertex) or does not exist (if the lines are parallel). Other types ...

  7. Contact mechanics - Wikipedia

    en.wikipedia.org/wiki/Contact_mechanics

    When two bodies with rough surfaces are pressed against each other, the true contact area formed between the two bodies, , is much smaller than the apparent or nominal contact area . The mechanics of contacting rough surfaces are discussed in terms of normal contact mechanics and static frictional interactions. [ 29 ]

  8. Transversality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Transversality_(mathematics)

    An intersection point between two arcs is transverse if and only if it is not a tangency, i.e., their tangent lines inside the tangent plane to the surface are distinct. In a three-dimensional space, two curves can be transverse only when they have empty intersection, since their tangent spaces could generate at most a two-dimensional space.

  9. Dupin's theorem - Wikipedia

    en.wikipedia.org/wiki/Dupin's_theorem

    Dupin's theorem is a tool for determining the curvature lines of a surface by intersection with suitable surfaces (see examples), without time-consuming calculation of derivatives and principal curvatures. The next example shows, that the embedding of a surface into a threefold orthogonal system is not unique.

  1. Related searches curve of intersection two surfaces of solid metal with common characteristics

    cylinder intersection curveintersection of a cylinder