Providing an overview of classic and hyperbolic geometries, and placing the work of key mathematicians and philosophers in a historical context, this title includes coverage on geometric transformations, and modes of the hyperbolic planes and pseudospheres, with review notes and…
"The purpose of this book is to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric…
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomat…
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomat…
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomat…
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions,…
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions,…
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions,…
This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebr…
This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebr…
"Geometry had a mercurial nature in the sixteenth century. Transmitted from antiquity in the form of Euclid's Elements, it was many years before geometry moved from the scholastic sphere and before its language and logic began to be used in an explicitly practical context. In 15…
The development of a coherent, cohesive visual system of mathematics brought about a seminal shift in approaches towards abstract thinking in western Europe. Vernacular translations of Euclid's Elements made these new and developing approaches available to a far broader readersh…
"Geometry had a mercurial nature in the sixteenth century. Transmitted from antiquity in the form of Euclid's Elements, it was many years before geometry moved from the scholastic sphere and before its language and logic began to be used in an explicitly practical context. In 15…
"Geometry had a mercurial nature in the sixteenth century. Transmitted from antiquity in the form of Euclid's Elements, it was many years before geometry moved from the scholastic sphere and before its language and logic began to be used in an explicitly practical context. In 15…
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence th…
