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One approach to cross ratio interprets it as a homography that takes three designated points to 0, 1, and ∞. Under restrictions having to do with inverses, it is possible to generate such a mapping with ring operations in the projective line over a ring. The cross ratio of four points is the evaluation of this homography at the fourth point.
Quilting. Quilted skirt (silk, wool and cotton – 1770–1790), Jacoba de Jonge-collection MoMu, Antwerp / Photo by Hugo Maertens, Bruges. Quilting is the process of joining a minimum of three layers of fabric together either through stitching manually using a needle and thread, or mechanically with a sewing machine or specialised longarm ...
Pappus's hexagon theorem: Points X, Y and Z are collinear on the Pappus line. The hexagon is AbCaBc. In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that. given one set of collinear points and another set of collinear points then the intersection points of line pairs and and and are collinear, lying on the ...
Proportion (architecture) In classical architecture, proportions were set by the radii of columns. Proportion is a central principle of architectural theory and an important connection between mathematics and art. It is the visual effect of the relationship of the various objects and spaces that make up a structure to one another and to the whole.
The cross-ratio (,;,) = () is a ratio of division ratios, or a double ratio. Setting the double ratio to minus one means that when t(c) + t(d) = 0, then c and d are harmonic conjugates with respect to a and b. So the division ratio criterion is that they be additive inverses.
This is an accepted version of this page This is the latest accepted revision, reviewed on 13 November 2024. German mathematician, astronomer, geodesist, and physicist (1777–1855) "Gauss" redirects here. For other uses, see Gauss (disambiguation). Carl Friedrich Gauss Portrait by Christian Albrecht Jensen, 1840 (copy from Gottlieb Biermann, 1887) Born Johann Carl Friedrich Gauss (1777-04-30 ...
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Latin cross. A Latin cross or crux immissa is a type of cross in which the vertical beam sticks above the crossbeam, [1] giving the cross four arms. Typically the two horizontal and upper vertical arm are the same length, although sometimes the vertical is shorter, however the lower vertical arm is always much longer than any other arm.