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Name:Advanced Euclidean Geometry (DOVER)~tqw~ darksiderg

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INFO
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Title................: Advanced Euclidean Geometry (DOVER)
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 86.1 MB
Torrent Hash.........: 9AA5BF5FA048D45C4347C3A61C82DF5BF26F5664
Posted by............: ~tqw~

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Note:
Sorry about the size I could not get any smaller with out quality issues.

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CONTENTS
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Advanced Euclidean Geometry (DOVER)~tqw~ darksiderg preview 0
Synopsis:
This classic text explores the geometry of the triangle and the circle,
concentrating on extensions of Euclidean theory, and examining in detail
many relatively recent theorems. Several hundred theorems and corollaries
are formulated and proved completely; numerous others remain unproved, to be
used by students as exercises.

Table Of Contents:
I. INTRODUCTION
1. Prerequisites
2. Positive and Negative Quantities
8. Points at Infinity
13. Notation
16. Directed Angles
II. SIMILAR FIGURES
21. Homothetic Figures
25. Centers of Similitude of Two Circles
31. Similar Figures in General
III. COAXAL CIRCLES AND INVERSION
40. The Radical Axis
50. Coaxal Circles
63. Inversion
IV. TRIANGLES AND POLYGONS
84. Ratios in the Triangle
89. Quadrangles and Quadrilaterals
92. The Theorem of Ptolemy
96. Triangle and Quadrangle Theorems
101. Polygon Theorems and Exercises
len. Theorems concerning Areas
V. GEOMETRY OF CIRCLES
113. The Power Theorem of Casey
126. Circles of Antisinulitude
134. Poles and Polars
144. Stereographic Projection
VI. TANGENT CIRCLES 110
160. Circles Tangent to Two Circles
168. Steiner Chains; the Arbel08
166. The Problem of Apollonius
172. Four Circles Touching a Circle
VII. THE THEOREM OF MIQUEL 131
184. The Miquel Theorem
189. Pedal Triangles and Circles; Simson Lines
VIII. THEOREMS OF CEVA AND MENELAUS 145
213. The Theorems of Ceva and Menelaus; Applications
231. Isogonal Conjugates
IX. THREE NOTABLE POINTS 161
249. Fundamental Properties of Orthocenter and Circumcenter
269. The Orthocentric System
271. Properties of the Median Point
278. The Polar Circle
X. INSCRIBED AND EsCRIBED CIRCLES 182
287. Fundamental Properties
298. Algebraic Formulas; Principle of Transformation
XI. THE NINE POINT CIRCLE 195
308. Properties of the Nine Point Circle
320. The Theorem of Feuerbach
326. Further Properties of Simson Lines
XII. SYMMEDIAN POINT AND OTHER NOTABLE POINTS 213
341. Symmedians and the Symmedian Point
362. The Isogonic Centers
361. Nagel Point, Spieker Circle, Fuhrmann Circle
XIII. TRIANGLES IN PERSPECTIVE
3'13. The Theorem of Desargues
385. The Theorems of Pascal and Brianchon
XIV. PEDAL TRIANGLES AND CIRCLES
394. Pedal Triangles and Circles of a Quadrangle
401. Fontene's Theorems; the Theorem of Feuerbach
406. The Orthopole
XV. SHORTER TOPICS 248
408. Statieal Theorems: Center of Gravity, Resultant of Vectors
417. The Cyclic Quadrangle and its Orthocenters
420. The Theorem of Morley
424. Circles of Droz-Farny
428. Miscellaneous Exercises
XVI. THE BROCARD CONFIGURATION 263
433. The Brocard Points and their Properties
448. The Tucker Circles
461. The Brocard Triangles and the Brocard Circle
469. Steiner Point and Tarry Point
473. Related Triangles
XVII. EQUIBROCARDAL TRIANGLES
480. The Neuberg Circles
486. Vertical Projection of Triangles
490. Circles of Apollonius and Isodynamic Points
497. The Circles of Schoute
499. Generalizations of Brocard Geometry 287
XVIII. THREE SIMILAR FIGURES 302
506. Similar Figures on the Sides of a Triangle
516. Three Similar Figures in General
INDEX

Product Details:
* ISBN: 0486462374
* ISBN-13: 9780486462370
* Format: Paperback, 336pp
* Publisher: Dover Publications
* Pub. Date: August 2007

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Greetz Fellow UL'ers
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