Two triangles are congruent if they are similar in shape and size. The table below mentions the theorems that were proved by Euclid. Euclid's geometry deals with two main aspects - plane geometry and solid geometry. Euclid introduced axioms and postulates for these solid shapes in his book elements that help in defining geometric shapes. In other words, it is the study of geometrical shapes both plane shapes and solid shapes and the relationship between these shapes in terms of lines, points, and surfaces. A plane surface is a surface that lies evenly with the straight lines on itself.Įuclid's geometry or the euclidean geometry is the study of Geometry based on the undefined terms such as points, lines, and planes of flat spaces.A surface has a length and breadth only.A straight line is a line that lies evenly with the points on itself.Some of his fundamentals about solid shapes are : Euclid specifically spoke about the shape, size, and position of solid shapes and various terms associated with them such as the surface, straight or curved lines, points, etc. This book spoke about the definitions, the axioms, the theorems, and the proof of various shapes. Euclid's geometry came into play when Euclid accumulated all the concepts and fundamentals of geometry into a book called 'Elements'. Geometry was originated from the need for measuring land and was studied in various forms in every ancient civilization such as Egypt, Babylonia, India, etc. Euclid and is also called Euclidean Geometry. Euclid's Geometry was introduced by the Father of Geometry i.e.

Mathematics euclidean geometry