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Exploring the depths of euclidean geometrY - HomeTHESE PDF'S WILL GENERALLY TEND TO BE IN DEPTH VERSIONS OF THE POSTS ON MY BLOG
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Exploring the depths of euclidean geometrY - Blog
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Exploring the depths of euclidean geometrY. Consider a triangle $ABC$ with orthocenter $H$. Let $D,E,$ and $F$ be the feet of the altitudes, let $M A,M B,$ and $M C$ be the midpoints of the sides, and let $M {AH},M {BH},$ and $M {CH}$ be the midpoints of $AH, BH,$ and $CH$ respectively, as shown. Then these $9$ points are concyclic in the Nine Point Circle. To prove the existence of the Nine Point Circle, we shall consider the circumcircle of $ triangle{ABC}$, and a few special points on it.
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The Mixtilinear Incircle | Power Overwhelming
https://usamo.wordpress.com/2015/08/11/the-mixtilinear-incircle
Some Notes on Valuations →. August 11, 2015. This blog post corresponds to my newest olympiad handout. My favorite circle associated to a triangle is the. Mixtilinear incircle. While it rarely shows up on olympiads, it is one of the richest configurations I have seen, with many unexpected coincidences showing up, and I would be overjoyed if they become fashionable within the coming years. Here’s the picture:. Are the contact points of the incircle and. Excircle on the side. Are the midpoints of the arcs.
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Euclidean Crisis
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Wednesday, September 12, 2007. Individual differences in the analysis of informal reasoning fallacies. Individual differences in the analysis of informal reasoning fallacies. Robert B. Ricco. Department of Psychology, California State University at San Bernardino, 5500 University Parkway, San Bernardino, CA 92407, USA. Available online 16 February 2007. Informal fallacies; Critical discussion; Deduction; Belief bias; Personal epistemology; Argumentation norms; Critical thinking; Deductive reasoning.
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Exploring the depths of euclidean geometrY - Home
Exploring the depths of euclidean geometrY. On this website I will be exploring beautiful areas of Euclidean Geometry, and will try my best to offer insight to elementary and synthetic solutions. Enjoy! PDF'S OF ARTICLES I'VE WRITTEN. THESE PDF'S WILL GENERALLY TEND TO BE IN DEPTH VERSIONS OF THE POSTS ON MY BLOG. Create a free website.
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John Quillen | FYI
John Quillen – FYI. I’ve been programming since I was 12. At some considerably later point I learned to communicate well with people. By the time I discovered that I enjoyed leading technical people I had written some 300,000 lines of C code. I’ve since had forays into PHP, Java, Python, and Objective-C (and a smidgen of C# and some javascript). I’ve mucked about in hard drive device drivers and designed a distributed system for human genome analysis. I was CTO of a social networking startup. Software ar...
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