Here I am gonna recommend recent geometry books (published after 2010). So far 9 follow:

Description:

The book we are proposing here to the English-speaking reader is one that would have qualified at the beginning of the previous century as a book of “Modern Geometry” of the triangle and quadrilateral. Most of the results were obtained in the second half of the 19th century and the first half of the 20th century. The author was a retired artillery colonel and an enthusiastic amateur mathematician. This should come as no surprise, as for any artillery officer mathematics (and, especially, geometry) plays an important part in his formation.

As the title surely suggests, this book is a rich collection of some of the most important properties of numerous points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s. These include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and many others. It was, probably, one of the most complete descriptions of the subject at the moment of the writing. The book was primarily addressed to young students but will be of interest to problem solvers in elementary geometry as well. Even geometers will find here new problems to inspire them.

related links:

https://www.awesomemath.org/product/the-geometry-of-remarkable-elements-points-lines-and-circles/

https://www.amazon.com/Geometry-Remarkable-Elements-Points-Circles/dp/0996874518

Description

3 olympiad geometry problem collections

*Two romantic books, one written as a proof & result collection in triangle geometry by an amateur (Mihalescu), and one written to challenge the perception, by someone (Akopyan) who knows the present Russian Geometry problems . Also 7 olympiad oriented geometry books follow.The first of them ,written by Evan Chen, tstands out for it's unique and noteworthy approach. Τhe last is written by two Greeks, one of them, Sotirios Louridas is a famous Greek problem solver in magazines and internet forums.*

**A masterpiece by a retired artillery colonel and an enthusiastic amateur mathematician, Constantin Mihalescu.**

Second Edition: 2016, translated in English (XYZ)

**The Geometry of Remarkable Elements: Points, Lines and Circles**

**Author:**

**Constantin Mihalescu**

Editors: Titu Andreescu, Dorin Andrica, Paul Blaga, and Dan Bränzei

Description:

The book we are proposing here to the English-speaking reader is one that would have qualified at the beginning of the previous century as a book of “Modern Geometry” of the triangle and quadrilateral. Most of the results were obtained in the second half of the 19th century and the first half of the 20th century. The author was a retired artillery colonel and an enthusiastic amateur mathematician. This should come as no surprise, as for any artillery officer mathematics (and, especially, geometry) plays an important part in his formation.

As the title surely suggests, this book is a rich collection of some of the most important properties of numerous points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s. These include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and many others. It was, probably, one of the most complete descriptions of the subject at the moment of the writing. The book was primarily addressed to young students but will be of interest to problem solvers in elementary geometry as well. Even geometers will find here new problems to inspire them.

related links:

https://

https://www.amazon.com/

Theorems without words, a touch of magic in Euclidean Geometry

**Geometry in Figures: Second, extended edition**,

by

**Arseniy V Akopyan ,**232p, 2017
1st edition was uploaded free here:

The second edition contains previous problems + 500 new

Instagram page: https://www.instagram.com/geometryfigures/

Sold online here: https://www.amazon.com/dp/1548710784/

More details here: https://www.mccme.ru/~akopyan/papers.html

**An Olympiad Geometry problem-solving book, very popular in aops, with all the theory and modern methods.**

**Euclidean Geometry in Mathematical Olympiads,**

by

**Evan Chen**2016 (MAA)
Euclidean Geometry in Mathematical Olympiads (often abbreviated EGMO, despite an olympiad having the same name) is a comprehensive problem-solving book in Euclidean geometry. It was written for competitive students training for national or international mathematical olympiads. However it has no prerequisites other than a good deal of courage: any student who is interested in the subject matter should be able to follow the exposition.

The book contains a selection of about 300 problems from around the world and is accompanied by about 250 figures.

Prerequisites and sample chapters

There are essentially no geometry prerequisites; EGMO is entirely self-contained. (This was one of the design goals.) The main limiting factor is instead the ability to read proofs; as long as you can follow mathematical arguments, then you should be able to follow the exposition even if you don't know any geometrical theorems.

Errata , samples & contents: http://web.evanchen.cc/geombook.html

Related links:

http://web.evanchen.cc/geombook.html

http://www.maa.org/press/books/euclidean-geometry-in-mathematical-olympiads

https://www.amazon.com/Euclidean-Geometry-Mathematical-Olympiads-Problem/dp/0883858398

http://web.evanchen.cc/

http://www.maa.org/press/

https://www.amazon.com/

one olympiad geometry modern lemma book

Product Code: XYZ/19

Titu Andreescu: University of Texas at Dallas, Richardson, TX,

Sam Korsky: Massachusetts Institute of Technology, Cambridge , MA,

Cosmin Pohoata: California Institute of Technology, Pasadena, CA

Sam Korsky: Massachusetts Institute of Technology, Cambridge , MA,

Cosmin Pohoata: California Institute of Technology, Pasadena, CA

**More info for this book:**https://bookstore.ams.org/XYZ

3 olympiad geometry problem collections

Product Code: XYZ/3

Titu Andreescu: University of Texas at Dallas, Richardson, TX,

Michal Rolinek: Institute of Science and Technology, Klosterneuburg, Austria,

Josef Tkadlec: Charles University, Prague, Czech Republic

Product Code: XYZ/4

Titu Andreescu: University of Texas at Dallas, Richardson, TX,

Michal Rolinek: Institute of Science and Technology, Klosterneuburg, Austria,

Josef Tkadlec: Charles University, Prague, Czech Republic

Titu Andreescu: University of Texas at Dallas, Richardson , TX,

Cosmin Pohoata: Columbia University, New York, NY

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