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Displaying 21 – 40 of 123

Partitioning Euclidean Space.

J.H. Schmerl (1993)

Discrete & computational geometry

Pentagramma mirificum and elliptic functions (Napier, Gauss, Poncelet, Jacobi, ...)

Vadim Schechtman (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

We give an exposition of unpublished fragments of Gauss where he discovered (using a work of Jacobi) a remarkable connection between Napier pentagons on the sphere and Poncelet pentagons on the plane. As a corollary we find a parametrization in elliptic functions of the classical dilogarithm five-term relation.

Perp-systems and partial geometries.

De Clerck, Frank, Delanote, Mario, Hamilton, Nicholas, Mathon, Rudolf (2002)

Advances in Geometry

Perspectivities in Irreducible Collineation Groups of Projective Planes. I.

Christoph Hering, Michael Walker (1977)

Mathematische Zeitschrift

Perspektive Involutionen in der Geometrie der quadratischen Polynome.

Helmut Mäurer (1978/1979)

Mathematische Zeitschrift

Petrie-Coxeter maps revisited.

Hubard, Isabel, Schulte, Egon, Weiss, Asia Ivić (2006)

Beiträge zur Algebra und Geometrie

Pi from its foundations.

Jiménez, Douglas (2008)

Divulgaciones Matemáticas

Piani di Möbius $k$ -aperti

V. Chvàl (1971)

Rendiconti del Seminario Matematico della Università di Padova

Piani di traslazione derivabili

Guglielmo Lunardon (1979)

Rendiconti del Seminario Matematico della Università di Padova

Places of alternative fields

Alena Vanžurová (1981)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Placing and moving spheres in the gaps of a cylinder packing.

W. Kuperberg (1991)

Elemente der Mathematik

Planare Neokörper mit additiven Kürzungsregeln.

Otto Bachmann (1972)

Mathematische Zeitschrift

Plane Bézier curves of third order: Some geometric reflections. (Ebene Bézierkurven 3. Ordnung: Einige geometrische Überlegungen.)

Lang, Johann (1995)

Mathematica Pannonica

Plane models of semi-biplanes.

Polster, B., Schroth, A.E. (1998)

Beiträge zur Algebra und Geometrie

Planes with analogues to Euclidean angular bisectors.

Herbert Busemann (1975)

Mathematica Scandinavica

Plans projectifs d'ordre 16 ayant un groupe de Frobenius d'ordre.

Tran van Trung (1980)

Mathematische Zeitschrift

Pohyb proměnného rovinného útvaru

Zdeněk Pírko (1946)

Časopis pro pěstování matematiky a fysiky

Point Sets with Uniformity Properties and Orthogonal Hypercubes.

G.L. Mullen, G. Whittle (1992)

Monatshefte für Mathematik

Pointed $k$ -surfaces

Graham Smith (2006)

Bulletin de la Société Mathématique de France

Let $S$ be a Riemann surface. Let $ℍ^{3}$ be the $3$ -dimensional hyperbolic space and let $\partial_{\infty} ℍ^{3}$ be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping $ϕ : S \to \partial_{\infty} ℍ^{3} = \hat{ℂ}$ . If $i : S \to ℍ^{3}$ is a convex immersion, and if $N$ is its exterior normal vector field, we define the Gauss lifting, $\hat{ı}$ , of $i$ by $\hat{ı} = N$ . Let $\vec{n} : U ℍ^{3} \to \partial_{\infty} ℍ^{3}$ be the Gauss-Minkowski mapping. A solution to the Plateau problem $(S, ϕ)$ is a convex immersion $i$ of constant Gaussian curvature equal to $k \in (0, 1)$ such that the Gauss lifting $(S, \hat{ı})$ is complete and $\vec{n} \circ \hat{ı} = ϕ$ . In this paper, we show...

Point-line characterizations of Lie geometries.

Kasikova, Anna, Shult, Ernest (2002)

Advances in Geometry

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