Topic:Coordinate Geometry for Olympiads
"Geometry is the only science that it hath pleased God hitherto to bestow on mankind."–Thomas Hobbes
This department of the Olympiad Mathematics course focuses on problem-solving based on circles and vectors, thus generalizing to Coordinate Geometry.
Our major focus is on Rectangular (Cartesian) Coordinates, although the course does touch upon Polar coordinates.
The first section is based on the geometric study of circles. Although not based on pure analytical geometry, it uses Appolonius-style reference lines in addition to Theorems on Tangents, Areas, etc.
The second section is devoted to Vector Analysis, covering problem-solving from Lattices and Affine Geometry to Linear Algebra of Vectors
Third section, focusing on locus problems, is all about conic sections and other curves in the Cartesian plane.
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