Within ''Modern Algebra for Ancient Geometry'', the neglected gems of geometry have been captured and tamed for those who are interested in truth, knowledge, beauty, and the understanding of the theorems that underpin them. Certainly not your average mathematics book!This newly developed form of algebra, devised by math afficionados Bill Todorovich and Ed Walker, enable both amateurs and experts to grasp the elusive (and often difficult) concepts of both Euclidian and Projective Geometries. The method of Trilineal Coordinates is elegantly defined and merged with the well known Cartesian Coordinates, enabling one to decipher the geometry of the triangle with all of its intriguing properties.Tribute is also paid to the great minds of geometry in the "Kimberling Encyclopedia of Triangle Centres", where a light is shone on the great works of Brocard, Euler, Lemoine, Steiner and more.This tome of theorems, with their solutions displayed in full colour diagrams, figures, and tables, will certainly appeal to those interested in mathematics, physics, music, design, or anyone who''s simply looking to delve into the enchanting world that is geometry.