About 2000 years ago Euclid wrote a book that contains (almost) all the geometry that was known at his time. Today, in the 21st century, our knowledge of geometry increased drastically: our knowledge of euclidean geometry is better and we have better foundations. Also we have so many (interlinked) branches of geometry:
- Euclidean geometry
- Neutral geometry
- Affine geometry
- Vector geometry
- Analytic geometry
- Non euclidean geometry
- Projective geometry
- Discrete geometry
- Differential geometry
- Integral geometry
- Algebraic geometry
- Discrete differential geometry
- Combinatorial geometry
- Computational geometry
- Symplectic geometry
- Kahlerian geometry
- Complex geometry
- Descriptive geometry
- Diophantine geometry
- Metric geometry
- Convex geometry
- Noncommutative geometry
- Nonriemanniann geometry
- Arithmetic geometry
- Topology
Did anyone try to do today what Euclid did long ago. I understand this is impossible for one person, but a group of specialists can do it. I'm not asking for an encyclopedic work but for a treatment of geometries from the most primitive to the most advanced. It will span thousands of pages but perhaps it will be the best work on geometry for the centuries to come. Does anyone have this idea? If Dieudonne alone could do a treatment of analysis in 10+ volumes, a group of mathematicians can do it.
Marcel Berger's two volume Geometry (https://books.google.com.mt/books/about/Geometry_I.html?id=5W6cnfQegYcC&redir_esc=y ) might be close to what you're looking for. As you note, the subject is now vast and so the books are not comprehensive, but they definitely give an introduction to many of the areas.