Publications of Stanley Rabinowitz    (continued)

2000–2019

This website was last updated on Oct. 14, 2023. This website is maintained by Stanley Rabinowitz.

Stanley Rabinowitz, Some Bonnesen-Style Triangle Inequalities. Missouri Journal of Mathematical Sciences, 614(2002)75–87.

Stanley Rabinowitz, Mixed Exponential and Polynomial Congruences. Crux Mathematicorum, 28(2002)431–433.

Stanley Rabinowitz, Consequences of the Pentagon Property. Geombinatorics 14(2005)208–220.

Stanley Rabinowitz, Pseudo-Incircles. Forum Geometricorum 6(2006)107–115.

Stanley Rabinowitz, Relationships Between Six Incircles. Sangaku Journal of Mathematics 3(2019)51–66.

             Mathematica Notebooks: proofOfIncirclesTheorem6.1.nb, proofOfIncirclesTheorem6.2.nb, proofOfIncirclesTheorem6.3.nb,

                                                      proofOfIncirclesTheorem7.1.nb, proofOfIncirclesTheorem7.2.nb, proofOfIncirclesTheorem7.3.nb

Stanley Rabinowitz, Relationships Between Six Excircles. Sangaku Journal of Mathematics 3(2019)73–90.

             Mathematica Notebooks: proofOfExcirclesTheorem5.1.nb, proofOfExcirclesTheorem5.2.nb,

                                                      proofOfExcirclesTheorem8.3.nb, proofOfExcirclesTheorem8.4.nb

Stanley Rabinowitz, Relationships Between Six Circumcircles. Sangaku Journal of Mathematics 3(2019)98–105.

Stanley Rabinowitz, More Relationships Between Six Circles. Sangaku Journal of Mathematics 3(2019)106–118.

Stanley Rabinowitz, Relationships Between Six Circles Associated with a Triangle,

                                 International Journal of Computer Discovered Mathematics 4(2019)48–53.

             Mathematica Notebooks: supplementaryMaterial.zip


2020


Stanley Rabinowitz, Relationships Between Circles Inscribed in Triangles and Related Curvilinear Triangles.

                                 Sangaku Journal of Mathematics 4(2020)9–27.

Stanley Rabinowitz, Relationships Between Six Areas. Sangaku Journal of Mathematics 4(2020)77–83.

             Mathematica Notebooks: sixAreas.nb.

Stanley Rabinowitz, Ercole Suppa, Abdilkadir Altıntaş, and Floor van Lamoen, Rabinowitz Conics Associated with a Triangle,

                                 International Journal of Computer Discovered Mathematics 5(2020)1–12.

Stanley Rabinowitz, Arrangement of Central Points on the Faces of a Tetrahedron,

                                 International Journal of Computer Discovered Mathematics 5(2020)13–41.

             Mathematica Notebooks: supplementaryMaterial.zip


2021


Stanley Rabinowitz and Ercole Suppa, Computer Investigation of Properties of the Gergonne Point of a Triangle.

                                  International Journal of Computer Discovered Mathematics 6(2021)6–42.

Stanley Rabinowitz and Ercole Suppa, Equilateral Triangles formed by the Centers of Erected Triangles.

                                  International Journal of Computer Discovered Mathematics 6(2021)43–67.

Stanley Rabinowitz, Inequalities Involving Gergonne and Nagel Cevians.

                                  International Journal of Computer Discovered Mathematics 6(2021)78–83.

Stanley Rabinowitz, Linear Relationships Between Squares of Cevian Lengths.

                                  International Journal of Computer Discovered Mathematics 6(2021)97–103.

Stanley Rabinowitz, Catalog of Properties of the First Isodynamic Point of a Triangle.

                                  International Journal of Computer Discovered Mathematics 6(2021)108–136.

Stanley Rabinowitz, Location of Triangle Centers Relative to the Incircle and Circumcircle.

                                  International Journal of Computer Discovered Mathematics 6(2021)137–144.

             Mathematica Notebooks: supplementaryMaterial.zip


2022


Stanley Rabinowitz, When Triangle Centers Lie Inside the Triangle.

                                  International Journal of Computer Discovered Mathematics 7(2022)25–29.

Stanley Rabinowitz, A Computer Algorithm for Proving Symmetric Homogeneous Triangle Inequalities.

                                  International Journal of Computer Discovered Mathematics 7(2022)30–62.

            Mathematica Notebooks: BlundonSupplementaryMaterial.zip

Stanley Rabinowitz, The Circumconics Among Us.

                                  International Journal of Computer Discovered Mathematics 7(2022)63–76.

            Mathematica Notebooks: circumconicsSupplementaryMaterial.zip

Stanley Rabinowitz and Ercole Suppa, Exclusion of Trivial Angle Relationships in the Analysis of Geometrical Figures.

                                  International Journal of Computer Discovered Mathematics 7(2022)77–130.

Stanley Rabinowitz, The Shape of Central Quadrilaterals.

                                  International Journal of Computer Discovered Mathematics 7(2022)131–180.

            Mathematica Notebooks: quadrilateralShapesSupplementaryMaterial.zip

Stanley Rabinowitz, Inequalities Derived From Distances Between Triangle Centers.

                                  International Journal of Computer Discovered Mathematics 7(2022)181–194.

            Mathematica Notebooks: pointDistancesSupplementaryMaterial.zip

Stanley Rabinowitz, Inequalities involving Central Cevians.

                                  International Journal of Computer Discovered Mathematics 7(2022)195–213.

            Mathematica Notebooks: cevianInequalitiesSupplementalMaterial.zip

Stanley Rabinowitz, Relationships between a Central Quadrilateral and its Reference Quadrilateral.

                                  International Journal of Computer Discovered Mathematics 7(2022)214–287.

             Mathematica Notebooks: supplementaryMaterialforQuadrilateralPairs.zip

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