coordinate geometry jwr tuesday september 6 2005 contents 1 introduction 3 2 some fallacies 4 2 1 every angle is a right angle 5 2 2 every triangle is isosceles ...
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...Coordinate geometry jwr tuesday september contents introduction some fallacies every angle is a right triangle isosceles ii ane lines transformations directed distance points and vectors area parallelograms menelaus ceva the medians centroid euclidean orthogonal matrices congruence similarity rotations review angles addition of more circles circumcircle circumcenter altitudes orthocenter bisectors incircle incenter euler line nine point circle acoordinate proof simson s theorem buttery morley bramagupta heron napoleon fermat projective homogeneous coordinates desargues pappus duality cross ratio ageometric computer inversive complex feuerbach klein view elliptic plane hyperbolic special relativity matrix notation b determinants c sets these are notes to math course in i sometimes teach at university wisconsin students who take this have com pleted calculus sequence thus seen certain amount analytic many taken or concurrently rst linear algebra make accessible those not familiar with al...