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[Texts]## 51N: Analytic and descriptive geometry |

Mostly this area includes topics related to ordinary analytic geometry as studied in secondary school.

- 51N05: Descriptive geometry, See also 65D17, 68U07
- 51N10: Affine analytic geometry
- 51N15: Projective analytic geometry
- 51N20: Euclidean analytic geometry
- 51N25: Analytic geometry with other transformation groups
- 51N30: Geometry of classical groups, See also 20Gxx, 14L35
- 51N35: Questions of classical algebraic geometry, See also 14Nxx
- 51N99: None of the above but in this section

Parent field: 51: Geometry

Browse all (old) classifications for this area at the AMS.

- Using projective geometry to perform a construction meeting incidence conditions.
- A little analytic geometry (finding the intersection of two cones.)
- Computing intersection of two ellipses with elementary elimination
- Computing intersection of a torus and a circle in R^3
- More general curves and surfaces too, in this case ruled surfaces.
- How many points determine a torus?
- Need a parameterization of the set of orthogonal matrices
- Angles between three vectors determine location of the vector in their "center".
- Parameterizations of unitary operators on a Hilbert space (and thus parameterization of the unitary and orthogonal groups).
- Formula for the equation of a curve formed by rotating the graph of a function
- Effect of rotation on the graph of a function
- What's the distance between a point and a parabola? (This is essentially an elimination-theoretic description of an envelope of the parabola.)
- Lagrange multipliers: nearest point on an ellipsoid to a given point
- What is a porism? (Poncelet's, Steiner's)
- Poncelet's Porism: Which nested pairs of circles are in- and circumscribed circles for a triangle? How many triangles?
- Many ways to compute the area of a circle given 3 points on it
- Kepler's equation and cycloids
- Converting pitch and roll to Euler rotations

Last modified 2000/01/24 by Dave Rusin. Mail: