Mathematical Reflections

Here are gonna be collected the geometry articles and the problems with solutions from the online magazine ''Mathematical Reflections''.

Geometry Articles

  1. A Characterization of the Parallelogram, by Paris Pamfilos 2016.3
  2. A Fine Use of Transformations, by Rithvik Pasumarty 2016.4
  3. A Forgotten Coaxality Lemma, by Stanisor Stefan Dan 2015.5
  4. A Generalization of the Napoleon’s Theorem, by Khakimboy Egamberganov 2017.3
  5. A Metric Relation and its Applications, by Son Hong Ta 2008.2
  6. A minimum problem, by Laurentiu Panaitopol 2006.6
  7. A new proof for Napoleon's Theorem, by Alex Anderson  2007.3
  8. A Note on Power of a Point, by Michal Rolinek & Josef Tkadlec 2010.5
  9. A Nice Theorem on Mixtilinear Incircles, by Khakimboy Egamberganov 2016.4
  10. A Note on the Malfatti Problem, by Titu Andreescu & Oleg Mushkarov 2006.4
  11. A Short Proof of Lamoen's Generalization of the Droz-Farny Line Theorem, by Cosmin Pohoata & Son Hong Ta 2011
  12. A Special Point on the Median, by Anant Mudgal & Gunmay Handa 2017.2
  13. A Way to Prove a Geometric Inequality R $\ge$ 3r, by Nguyen Tien Lam 2009.1
  14. All About Excircles!, by Prasanna Ramakrishnan 2014.6
  15. Angle Inequalities in Tetrahedra, by Mark Chen 2008.6
  16. Back to Euclidean Geometry: Droz-Farny Demystified, by Titu Andreescu & Cosmin Pohoata 2012
  17. Concyclicities in Tucker-like Configurations, by Stefan Dominte & Tudor-Dimitrie Popescu 2016.1
  18. Droz-Farny, an Inverse View, by Paris Pamfilos 2015.2
  19. Equiangular polygons: An algebraic approach, by Titu  Andreescu & Bogdan Enescu 2006.1
  20. Harmonic Division and its Applications, by Cosmin Pohoata 2007.4
  21. Inequalities on Ratios of Radii of Tangent Circles, by Y.N. Aliyev 2015.5
  22. From Baltic Way to Feuerbach - A Geometrical Excursion, by Darij Grinberg 2006.2
  23. Hartcourt’s Theorem Via Salmon’s Lemma, by Luis Gonzalez and Cosmin Pohoata 2013.6
  24. How to make a soccer ball, Euler's relation for polyhedra and planar graphs, by Bogdan Enescu 2013.4
  25. Let's Talk About Symmedians! , by Sammy Luo and Cosmin Pohoata 2013.4
  26. Newton and Midpoints of Diagonals of Circumscriptible Quadrilaterals, by Titu  Andreescu, Luis Gonzalez & Cosmin Pohoata 2014.1
  27. On a Mixtilinear Coaxality, by Cosmin Pohoata & Vladimir Zajic 2012
  28. On a vector equality, by Nguyen Tien Lam 2008.6
  29. On Casey's Inequality, by Tran Quang Hung 2011.2
  30. On Distances In Regular Polygons, by N. Javier Buitrago A. 2010.5
  31. On Fontene’s Theorems, by Marius Bocanu  2015.2
  32. On some geometric inequalities, by Tran Quang Hung 2008.3
  33. On the area of a pedal triangle, by Ivan Borsenco 2007.2
  34. On the extension of Carnot's Theorem, by Tran Quang Hung 2007.6
  35. On the Maximum Area of a Triangle With the Fixed Distances From its Vertices to a Given Point , by Ivan Borsenco, Roberto Bosch Cabrera & Daniel Lasaosa 2014.2
  36. On vector properties of an equilateral triangle, by Tran Quang Hung 2007.2
  37. Similar Quadrilaterals, by Guangqi Cui, Akshaj Kadaveru, Joshua Lee, Sagar Maheshwari 2014.5
  38. The Apollonian Circles and Isodynamic Points, by Tarik Adnan Moon 2010.6
  39. The Monge-D’Alembert Circle Theorem, by Cosmin Pohoata & Jan Vonk 2011.5
  40. The Neuberg-Mineur circle, by Darij Grinberg
  41. The Symmedian Point and Poncelet’s Porism
  42. Triangle Bordered With Squares, by Catalin Barbu 2010.4
  43. Triangles Homothetic with the Intouch Triangle, by Sava Grozdev, Hiroshi Okumura, & Deko Dekov 2018.2
  44. Vectors Conquering Hexagons, by Iurie Boreico 2008.1

Problem Column

2006: Problems & Solutions  problems 001-036
2007: Problems & Solutions  problems 037-072
2008: Problems & Solutions  problems 073-108
2009: Problems & Solutions  problems 109-144
2010: Problems & Solutions  problems 145-180
2011: Problems & Solutions  problems 181-216
2012: Problems & Solutions  problems 217-252
2013: Problems & Solutions  problems 253-288
2014: Problems & Solutions  problems 289-324
2015: Problems & Solutions  problems 325-360
2016: Problems & Solutions  problems 361-396
2017: Problems & Solutions  problems 397-432                                         

2018: (problems 433-444)
1: Problems Solutions  problems 433-438
2: Problems & Solutions  problems 439-444



sources:
archive.org
reflections.awesomemath.org
www.awesomemath.org

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