In plane geometry, a shear mapping is an affine transformation that displaces each point in a fixed direction by an amount proportional to its signed...
13 KB (1,885 words) - 13:26, 3 May 2024
Affine transformation (redirect from Affine mapping)
translation, scaling, homothety, similarity, reflection, rotation, shear mapping, and compositions of them in any combination and sequence. Viewing an...
27 KB (3,594 words) - 20:28, 28 March 2024
rectangle of equal area with sides p and q with the help of three shear mappings (shear mappings preserve the area): *Hartmut Wellstein, Peter Kirsche: Elementargeometrie...
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Look up shear in Wiktionary, the free dictionary. Shear may refer to: Animal shearing, the collection of wool from various species Sheep shearing The removal...
3 KB (409 words) - 03:37, 6 June 2023
rotation}}\end{matrix}}} The mathematical model representing simple shear is a shear mapping restricted to the physical limits. It is an elementary linear transformation...
5 KB (749 words) - 00:12, 3 February 2024
the Cartesian plane, but is not a rotation or shear mapping. For a fixed positive real number a, the mapping ( x , y ) ↦ ( a x , y / a ) {\displaystyle (x...
18 KB (2,494 words) - 15:47, 16 February 2024
to that point. The linear transformation in this example is called a shear mapping. Points in the top half are moved to the right, and points in the bottom...
101 KB (13,539 words) - 03:39, 8 April 2024
the idea of angle follows from the difference of slopes. Consider the shear mapping ( u , v ) = ( x , y ) ( 1 v 0 1 ) . {\displaystyle (u,v)=(x...
18 KB (2,619 words) - 00:12, 28 April 2024
pp. 3–4. ISBN 978-0486134789. See for example Pythagorean theorem by shear mapping Archived 2016-10-14 at the Wayback Machine, Saint Louis University website...
92 KB (12,566 words) - 21:51, 4 May 2024
{\ell }{k}}b,\ b)} shear mapping ∼ ( k a + ℓ b , 1 k b ) {\displaystyle \thicksim (ka+\ell b,\ {\tfrac {1}{k}}b)} squeeze mapping ∼ ( k a + ℓ b , 1...
12 KB (1,573 words) - 09:06, 14 October 2023