{"product_id":"99-points-of-intersection-examples-pictures-proofs-hardback-9780883855539","title":"99 Points of Intersection; Examples-Pictures-Proofs (Hardback) 9780883855539","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003e99 Points of Intersection\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eExamples-Pictures-Proofs\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA collection of surprising concurrences of lines with some typical methods for proving their existence.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHans  Walser (Author), Peter Hilton (Translated by), Jean Pedersen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780883855539, The Mathematical Association of America\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 14 September 2006\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e168 pages, 157 b\/w illus.\u003cbr\u003e23.6 x 15.6 x 1.3 cm, 0.357 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 99 points of intersection presented here were collected during a year-long search for surprising concurrence of lines. For each example we find compelling evidence for the sometimes startling fact that in a geometric figure three straight lines, or sometimes circles, pass through one and the same point. Of course, we are familiar with some examples of this from basic elementary geometry - the intersection of medians, altitudes, angle bisectors, and perpendicular bisectors of sides of a triangle. Here there are many more examples - some for figures other than triangles, some where even more than three straight lines pass through a common point. The main part of the book presents 99 points of intersection purely visually, developed in a sequence of figures. In addition the book contains general thoughts on and examples of the points of intersection, as well as some typical methods of proving their existence.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. What's It All About?: 1. If three lines meet\u003cbr\u003e 2. Flowers for Fourier\u003cbr\u003e 3. Chebyshev and the Spirits\u003cbr\u003e 4. Sheaves generate curves\u003cbr\u003e Part II. The 99 points of intersection: Part III. The Background: 1. The four classical points of intersection\u003cbr\u003e 2. Proof strategies\u003cbr\u003e 3. Central projection\u003cbr\u003e 4. Ceva's Theorem\u003cbr\u003e 5. Jacobi's Theorem\u003cbr\u003e 6. Remarks on selected points of intersection\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"The Mathematical Association of America","offers":[{"title":"Brand New","offer_id":52501054914840,"sku":"9780883855539","price":39.35,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780883855539i.jpg?v=1786207744","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/99-points-of-intersection-examples-pictures-proofs-hardback-9780883855539","provider":"Freshly Printed Books","version":"1.0","type":"link"}