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001			279665
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007			cr nn 008mamaa
008			150903s2008 xxu| o |||| 0|eng d
020			_a9780387781310 _99780387781310
024	7		_a10.1007/9780387781310 _2doi
035			_avtls000332892
039		9	_a201509030209 _bVLOAD _c201404122304 _dVLOAD _c201404092038 _dVLOAD _y201402041057 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
100	1		_aBottema, O. _eautor _9304120
245	1	0	_aTopics in Elementary Geometry / _cby O. Bottema.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aThe Pythagorean Theorem -- Ceva’s Theorem -- Perpendicular Bisectors; Concurrence -- The Nine-Point Circle and Euler Line -- The Taylor Circle -- Coordinate Systems with Respect to a Triangle -- The Area of a Triangle as a Function of the Barycentric Coordinates of Its Vertices -- The Distances from a Point to the Vertices of a Triangle -- The Simson Line -- Morley’s Triangle -- Inequalities in a Triangle -- The Mixed Area of Two Parallel Polygons -- The Isoperimetric Inequality -- Poncelet Polygons -- A Closure Problem for Triangles -- A Class of Special Triangles -- Two Unusual Conditions for a Triangle -- A Counterpart for the Euler Line -- Menelaus’s Theorem; Cross-Ratios and Reciprocation -- The Theorems of Desargues, Pappus, and Pascal -- Inversion -- The Theorems of Ptolemy and Casey -- Pedal Triangles; Brocard Points -- Isogonal Conjugation; the Symmedian Point -- Isotomic Conjugation -- Triangles with Two Equal Angle Bisectors -- The Inscribed Triangle with the Smallest Perimeter; the Fermat Point.
520			_aThis small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained in this classical field over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating. In a small space the author provides many thought-provoking ideas. This book will fit in well with the increasing interest for geometry in research and education. This book was originally published in Dutch, and this will be the first English translation. This translation also includes a new foreword by Robin Hartshorne. "This highly entertaining book will broaden the reader's historical perspective in an enlightening manner and it provides attractive topics for classroom discussion." -Hendrik Lenstra, Universiteit Leiden
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387781303
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-78131-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c279665 _d279665