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  2. Multiview orthographic projection - Wikipedia

    en.wikipedia.org/wiki/Multiview_orthographic...

    In third-angle projection, the object is conceptually located in quadrant III, i.e. it is positioned below and behind the viewing planes, the planes are transparent, and each view is pulled onto the plane closest to it. (Mnemonic: a "shark in a tank", esp. that is sunken into the floor.)

  3. Angles between flats - Wikipedia

    en.wikipedia.org/wiki/Angles_between_flats

    The angle > will be the angle between the subspaces and in the orthogonal complement to . Imagining the angle between two planes in 3D, one intuitively thinks of the largest angle, θ 2 > 0 {\displaystyle \theta _{2}>0} .

  4. Orthographic projection - Wikipedia

    en.wikipedia.org/wiki/Orthographic_projection

    Orthographic projection (also orthogonal projection and analemma) [a] is a means of representing three-dimensional objects in two dimensions.Orthographic projection is a form of parallel projection in which all the projection lines are orthogonal to the projection plane, [2] resulting in every plane of the scene appearing in affine transformation on the viewing surface.

  5. Freeform surface modelling - Wikipedia

    en.wikipedia.org/wiki/Freeform_surface_modelling

    Freeform surface modelling is a technique for engineering freeform surfaces with a CAD or CAID system.. The technology has encompassed two main fields. Either creating aesthetic surfaces (class A surfaces) that also perform a function; for example, car bodies and consumer product outer forms, or technical surfaces for components such as gas turbine blades and other fluid dynamic engineering ...

  6. Solid angle - Wikipedia

    en.wikipedia.org/wiki/Solid_angle

    The solid angle of a sphere measured from any point in its interior is 4 π sr. The solid angle subtended at the center of a cube by one of its faces is one-sixth of that, or 2 π /3 sr. The solid angle subtended at the corner of a cube (an octant) or spanned by a spherical octant is π /2 sr, one-eight of the solid angle of a sphere. [1]

  7. Mohr's circle - Wikipedia

    en.wikipedia.org/wiki/Mohr's_circle

    The double angle approach relies on the fact that the angle between the normal vectors to any two physical planes passing through (Figure 4) is half the angle between two lines joining their corresponding stress points (,) on the Mohr circle and the centre of the circle.

  8. Duality (projective geometry) - Wikipedia

    en.wikipedia.org/wiki/Duality_(projective_geometry)

    A plane duality is a map from a projective plane C = (P, L, I) to its dual plane C ∗ = (L, P, I ∗) (see § Principle of duality above) which preserves incidence. That is, a plane duality σ will map points to lines and lines to points (P σ = L and L σ = P) in such a way that if a point Q is on a line m (denoted by Q I m) then Q I m ⇔ m ...

  9. Perspective (geometry) - Wikipedia

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

    Two figures in a plane are perspective from a point O, called the center of perspectivity, if the lines joining corresponding points of the figures all meet at O. Dually , the figures are said to be perspective from a line if the points of intersection of corresponding lines all lie on one line.