New & Forthcoming
Directions & Parking
Shipping & Returns
Projective Geometry (New)
by Edwards, Lawrence
Publisher: Steiner Books
Book ID: 9780863153938, 0863153933
Usually available in 1-2 weeks
Projective geometry is a non-metrical form of geometry that emerged in the early nineteenth century. It originated from the principles of perspective art. Here, he presents a clear and artistic understanding of the intriguing qualities of projective geometry.
Projective geometry formalizes a central principle of perspective art -- that parallel lines meet at infinity and, therefore, should be drawn that way. Essentially, projective geometry may be viewed as an extension of Euclidean geometry -- one in which the "direction" of each line is subsumed within the line as an extra "point," and in which a "horizon" of directions corresponding to coplanar lines is regarded as a "line." Thus, two parallel lines will meet on a horizon because they possess the same direction.
In the spirit of projective geometry’s origins in synthetic geometry, some mathematicians have investigated projective geometry as a useful means to describe natural phenomena. The first research in this direction was stimulated by a suggestion from the philosopher and spiritual teacher Rudolf Steiner.
In the mid-twentieth century, Louis Locher-Ernst explored the tension between central forces and peripheral influences. Lawrence Edwards discovered significant applications of projective geometry (Klein path curves) to organic development. In the spirit of D'Arcy Thompson's On Growth and Form, but with greater mathematical rigor, Edwards demonstrated that forms such as the buds of leaves and flowers, pine cones, eggs, and the human heart can be described simply through the use of certain path curves. Varying a single parameter -- lambda -- transforms the interaction of what projective geometry calls "growth measures" into surprisingly accurate representations of many organic forms, which are otherwise not easily described through mathematics. Moreover, negative values of the same parameter produce inversions representing vortexes of both water and air.
Lawrence Edwards researched and taught projective geometry for more than forty years. His book will reveal the secrets of space to those who work through its more than two hundred instructive diagrams and exercises. Projective Geometry is an essential resource for teachers of Waldorf education or for those who wish to strengthen their thinking and expand their view of mathematics.
Lawrence Edwards (1911–2004) studied the work of Rudolf Steiner and, until he retired, was a Waldorf class teacher and an upper school mathematics teacher at the Edinburgh Rudolf Steiner School. He was inspired toward scientific research after studying projective geometry with George Adams and, following a "second career," researching whether the path curves he had learned about applied also to forms in nature. He confirmed this and discovered important rhythmic processes in earthly nature that correlate with celestial rhythms. He lectured widely all over the world.
LIBER SPIRITUUM: A Compendium of Writings on Angels and Other Spirits in Modern Magick
Forrest, Adam (ed)
Book is limited to 500 hand numbered hardcover copies printed in two colors and bound in faux leather silk-touch cloth, 252 pages, Foil stamp on both the front and back boards with a full color frontispiece by acclaimed artist Caniglia and sewn in satin bookmark.
About the book:
For Liber Spirituum: A Compendium of Writings on Angels and Other Spirits in Modern Magick, Azoth Press has assembled a group of nine of the foremost writers in the field of ceremonial magick, representi...
The Accidental Shaman: Journeys with Plant Teachers and Other Spirit Allies
Charing, Howard G
Inner Traditions / Bear & Company
After surviving a serious elevator crash in London, Howard G. Charing found he had developed healing touch as well as the ability to hear voices and experience visions--just as a healer in Italy had predicted only a week before the accident. He began using his abilities to heal but felt he needed more guidance and training. He first connected with a national spiritual healing organization, only to be told he was doing everything wrong. Then, through a friend, he discovered shamanism.
The Luminous Stone: Lucifer in Western Esotericism (Western Esotericism in Context)
Schulke, Daniel A. (ed)
Three Hands Press
Limited to 800 copies
The Arcanum of the 'fallen angel' Lucifer evokes such concepts as heresy, rebellion, pride, liberation from the bonds of demiurgic oppression, and impetus for human evolution. Meaning 'light bearer', Lucifer has, from his earliest origins, been hailed by religious and artistic countercultures as a patron saint of enlightenment -- the essential quality embodying overthrow of ignorance and the inspired process of revelation. Allied to ancient Gnostic cosmological concepti...
The Voynich Manuscript
Yale University Press
Many call the fifteenth-century codex, commonly known as the Voynich Manuscript, the world s most mysterious book. Written in an unknown script by an unknown author, the manuscript has no clearer purpose now than when it was rediscovered in 1912 by rare books dealer Wilfrid Voynich. The manuscript appears and disappears throughout history, from the library of the Holy Roman Emperor Rudolf II to a secret sale of books in 1903 by the Society of Jesus in Rome. The book s language has eluded deciphe...More