![]() ![]() ![]() Pretty crazy to think about how far math (and humanity as a whole) has come since those days. The subject of geometry was further enriched by the study of intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures: perspective is the origin of projective geometry. This played a key role in the emergence of infinitesimal calculus in the 17th century. The introduction of coordinates by René Descartes and the concurrent development of algebra marked a new stage for geometry, since geometric figures, such as plane curves, could now be represented analytically, i.e., with functions and equations. Both geometry and astronomy were considered in the classical world to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. ![]() By the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment-Euclidean geometry-set a standard for many centuries to follow. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early as Thales (6th Century BC). A mathematician who works in the field of geometry is called a geometer. Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. I hope you already know, but just in case, here is what the wikipedia says: Without Geometry, we would have no shapes! Geometry is awesome. Now Math is FUN, and BEAUTIFUL because I can see how it applies to almost every design around us. For example, my love for math in the real world started when I became a programmer. It is not “required” like teachers try to trick us into thinking, but it does make life much more beautiful. In School, Math feels so boring, and archaic – but in the real world, you get to see how it applies to literally EVERYTHING. So in high school I was not a big fan of math in general. ![]()
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