Bibliograph

Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Ross Honsberger

Type

Label

Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Ross Honsberger

Language

eng

Index

index present

Literary Form

non fiction

Main title

Episodes in Nineteenth and Twentieth Century Euclidean Geometry

Nature of contents

dictionaries

Oclc number

775429124

Responsibility statement

Ross Honsberger

Series statement

Anneli Lax New Mathematical Library, v. 37

Table Of Contents

""Cover ""; ""Title page ""; ""copyright page ""; ""1. Cleavers and Splitters""; ""2. The Orthocenter ""; ""3. On Triangles ""; ""4. On Quadrilaterals ""; ""Exercise Set 4""; ""5. A Property of Triangles ""; ""1. The Property""; ""2. The Simson Line""; ""3. The Proof of the Property (John Rigby)""; ""4. A Corollary""; ""5. A Property of Parabolas""; ""6. The Fuhrmann Circle ""; ""7. The Symmedian Point ""; ""Section 1 ""; ""2. Isogonal Lines and Points""; ""Exercise""; ""3. The Symmedians and the Symmedian Point K""; ""4. Applications and Further Developments""; ""References""""Exercise Set 7""""8. The Miquel Theorem ""; ""Section 1 ""; ""2. The Theorem of Miquel""; ""3. The Case of P_1, P_2, P_3 Collinear""; ""4. Simson Lines""; ""5. A Curious Angle Property""; ""9. The Tucker Circles ""; ""1. Parallels and antiparallels""; ""2. The Lemoine circles""; ""3. The Tucker circles""; ""4. The center of a Tucker circle lies on the line KO""; ""5. The first Lemoine circle""; ""6. The Taylor Circle""; ""Exercise Set 9""; ""10. The Brocards Points ""; ""1. The Brocard Points""; ""2. The Brocard Angle""; ""Exercise""; ""Exercise""; ""3. The Brocard Circle""""4. The Brocard triangles""""5. The Steiner point and the Tarry point""; ""6. A property relating K, G, Omega, Omega'""; ""11. The Orthopole ""; ""Section 1""; ""Section 2""; ""3. The Rigby Point""; ""Exercise""; ""12. On Cevians ""; ""1. Cevaâ€?s Theorem""; ""Section 2""; ""Section 3""; ""4. Harukiâ€?s Cevian theorem for circles""; ""13. The Theorem of Menelaus ""; ""Section 1""; ""2. Applications""; ""Suggested Reading ""; ""Solutions to the Exercises ""; ""1. Cleavers and Splitters""; ""2. The Orthocenter""; ""3. On Triangles""; ""4. On Quadrilaterals""; ""7. The Symmedian Point""""9. The Tucker Circles""""11. The Orthopole""; ""Index ""

Classification