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Hyperbolic geometry
 In Flavors of geometry
, 1997
"... 3. Why Call it Hyperbolic Geometry? 63 4. Understanding the OneDimensional Case 65 ..."
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3. Why Call it Hyperbolic Geometry? 63 4. Understanding the OneDimensional Case 65
How to sum up triangles
, 2001
"... We prove configuration theorems that generalize the Desargues, Pascal, and Pappus theorems. Our generalization of the Desargues theorem allows us to introduce the structure of an Abelian group on the (properly extended) set of triangles which are perspective from a point. In barycentric coordinates, ..."
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We prove configuration theorems that generalize the Desargues, Pascal, and Pappus theorems. Our generalization of the Desargues theorem allows us to introduce the structure of an Abelian group on the (properly extended) set of triangles which are perspective from a point. In barycentric coordinates, the corresponding group operation becomes the addition in R 3.
c The Operations Research Society of Japan SOLVING CONSTRAINED TWOFACILITY LOCATION PROBLEMS Atsuo Suzuki
, 2013
"... Abstract A general approach to optimally solve multiple facility location problems based on the “Big Triangle Small Triangle ” approach to solving single facility problems is proposed. The proposed procedure is especially effective when the solution is constrained to a given polygon such as the conv ..."
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Abstract A general approach to optimally solve multiple facility location problems based on the “Big Triangle Small Triangle ” approach to solving single facility problems is proposed. The proposed procedure is especially effective when the solution is constrained to a given polygon such as the convex hull of demand points. The procedure is tested on the two facilities Weber problem with attraction and repulsion (WAR) with excellent computational results.