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In [[geometry]], an '''affine plane''' is a [[two-dimensional]] [[affine space]]. ...] is defined as an abstract system of points and lines satisfying a system of axioms. ...

{{Short description|Formula for the direction of slip of a stressed crystalline material}} ...scribes the [[Slip (materials science)|slip]] plane and the slip direction of a [[Stress (mechanics)|stressed]] material, which can resolve the most [[sh ...

...s, which afterwards get assembled into a rectangle with an area of only 30 units. ...ation of Hooper's paradox. The brown parallelogram is the overlapping area of the two triangles.]] ...

...atisfy the [[implicit equation]] <math>x^2 - y^2 = 1 .</math> In the study of [[indefinite orthogonal group]]s, the unit hyperbola forms the basis for an ...the [[asymptote]]s ''y'' = ''x'' and ''y'' = −''x''. When the conjugate of the unit hyperbola is in use, the alternative radial length is <math>r = \s ...

...and is designed for a specific [[wavelength]] and [[Angular distance|angle of separation]] between output beams. ...(optics)|focused]] spots. This simple optical set-up is used in a variety of high-power [[laser]] research and industrial applications that typically in ...

{{short description|Problem of finding unknown lengths and angles of a triangle}} ...me of these are known. The triangle can be located on a [[plane (geometry)|plane]] or on a [[sphere]]. Applications requiring triangle solutions include [[g ...

{{Short description|High symmetry orientation of a crystal}} ...e dimensions. It is therefore indexed with direct lattice indices, instead of with [[Miller index|Miller indices]]. ...

...ombined area of all four pieces is 64 area units in the square but 65 area units in the rectangle, this seeming contradiction is due an optical illusion as ...center|Enlarged, precise drawing shows a gap in the rectangle in the shape of a parallelogram]] ...

...shares the same [[asymptote]]s but lies in the opposite two sectors of the plane compared to the original hyperbola. ...y)|apex]]. Each cone has an axis, and the plane section is parallel to the plane formed by the axes. ...

...o lines, and include in particular all [[Euclidean group|isometries of the plane]]. ...one-to-one correspondence]] with oriented [[line (geometry)|lines]] on the plane. ...

! scope="col" width="125" | SI units ! Angle subtended by object ...

...spectrum (Fourier transform) of a typical electron micrograph. The effect of the contrast transfer function can be seen in the alternating light and dar ...ress, NY).</ref> This contrast transfer function (CTF) sets the resolution of [[high-resolution transmission electron microscopy]] (HRTEM), also known as ...

{{Short description|Radiance of a surface}} ...Many? A Dictionary of Units of Measurement|url=http://www.unc.edu/~rowlett/units/dictF.html#flick|access-date=10 August 2012}}</ref> ...

...e represents the Cavalieri's Principle in action: if you have the same set of cross sections that only differ by a horizontal translation, you will get t ...y]], '''Cavalieri's principle''', a modern implementation of the '''method of indivisibles''', named after [[Bonaventura Cavalieri]], is as follows:<ref> ...

{{short description|Subset of real numbers that are greater than zero}} ...mployed, is aligned with the practice in algebra of denoting the exclusion of the zero element with a star, and should be understandable to most practici ...

...te [[Line (mathematics)|line]] in [[Euclidean geometry]]. It is the length of the [[line segment]] which joins the point to the line and is [[perpendicul ...n of the fit is measured for each data point as the perpendicular distance of the point from the regression line. ...

...on''' is the [[random walk]] in orientation of a [[binary star]]'s orbital plane, induced by gravitational perturbations from passing stars. ...<math>M_1</math> and <math>M_2</math> be the masses of the two components of the binary whose total mass is <math>M_{12}=M_1+M_2</math>. A field star t ...

{{Short description|Ancient Egyptian unit of measurement}} ...t Egyptian measure of Seked compared with the slope of the [[Great Pyramid of Giza|Great Pyramid]]]] ...

{{short description|Model for the magnetization of single-domain ferromagnets}} ...<ref name=sw>{{Harvnb|Stoner|Wohlfarth|1948}}</ref> It is a simple example of [[magnetic hysteresis]] and is useful for modeling small magnetic particles ...

{{Short description|Set of primitive shapes whose union equals a polygon}} ...covering problem is: given a [[rectilinear polygon]], find a smallest set of squares whose union equals the polygon. ...