takes a different approach to presenting basic for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions. Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity. Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane. This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along.
is suitable for a large audience, which includes not only high school students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions. Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane in a simple form while adhering to its depth and rigor.
“Gelfand was a great mathematician and also a great teacher. The book provides an atypical view of . Gelfand gets to the intuitive core of , to the phenomena of shapes and how they move in the plane, leading us to a better understanding of what coordinate and axiomatic  seek to describe.”

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