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searching for Degenerate conic 15 found (26 total)

Family of curves (246 words) [view diff] exact match in snippet view article find links to article

Families of curves may also arise in other areas. For example, all non-degenerate conic sections can be represented using a single polar equation with one

Cayley–Bacharach theorem (1,492 words) [view diff] exact match in snippet view article find links to article

seven points on a degenerate conic that are collinear. Consequently: If no seven points out of P1, ..., P8 lie on a non-degenerate conic, and no four points

Inellipse (3,437 words) [view diff] exact match in snippet view article find links to article

special role: Its area is the greatest of all inellipses. Because a non-degenerate conic section is uniquely determined by five items out of the sets of vertices

Benz plane (700 words) [view diff] exact match in snippet view article find links to article

Because of the essential role of the circle (considered as the non-degenerate conic in a projective plane) and the plane description of the original models

Laguerre plane (2,237 words) [view diff] exact match in snippet view article find links to article

oval instead of a non degenerate conic. An oval is a quadratic set and bears the same geometric properties as a non degenerate conic in a projective plane:

Segre's theorem (1,934 words) [view diff] exact match in snippet view article find links to article

f'(x_{1})(x_{2}-x_{1})+f(x_{1}))\;.} I: if o {\displaystyle {\mathfrak {o}}} is a non degenerate conic we have f ( x ) = x 2 {\displaystyle f(x)=x^{2}} and f ′ ( x ) = 2

Von Staudt conic (690 words) [view diff] exact match in snippet view article find links to article

called ordinary polarities and the locus of absolute points forms a non-degenerate conic (set of points whose coordinates satisfy an irreducible homogeneous

Steiner's conic problem (959 words) [view diff] exact match in snippet view article find links to article

conics do not intersect on the fifth conic (otherwise this pair is a degenerate conic tangent to all 5 conics) then the total number of conics C tangent

Steiner inellipse (1,567 words) [view diff] no match in snippet view article find links to article

incircle. It touches the sides at its midpoints. There is no other (non-degenerate) conic section with the same properties, because a conic section is determined

Quadratic function (2,893 words) [view diff] no match in snippet view article find links to article

polynomial, and the zeros of a quadratic function form a (possibly degenerate) conic section. Similarly, quadratic polynomials with three or more variables

Rotation of axes in two dimensions (1,640 words) [view diff] exact match in snippet view article find links to article

(eliminating B) and a translation (eliminating the D and E terms). A non-degenerate conic section given by equation (9) can be identified by evaluating B 2 −

Three-dimensional space (4,825 words) [view diff] exact match in snippet view article find links to article

pair of planes or a quadratic cylinder (a surface consisting of a non-degenerate conic section in a plane π and all the lines of R3 through that conic that

APL (programming language) (9,843 words) [view diff] case mismatch in snippet view article

APL Wiki. APL Conference. Retrieved 13 Oct 2021. Jacob Williams. Degenerate Conic: New Blood. Retrieved 13 Oct 2021. APL Wiki. APL logo. Retrieved 20

Fourier transform (21,313 words) [view diff] no match in snippet view article find links to article

considers the space of all distributions which are supported on the (degenerate) conic ξ2 − f2 = 0. We may as well consider the distributions supported on

Glossary of classical algebraic geometry (11,193 words) [view diff] no match in snippet view article find links to article

pairs in 6 points 5. A complete conic in the plane is a (possibly degenerate) conic, together with a pair of (possibly equal) points on it if it is a