## Projective geometry; creative polarities in space and timeThis work provides a layperson's approach to projective geometry. Written with fire and intuitive genius and illustrated with many diagrams, this work will be of interest to anyone wishing to cultivate the power of inner visualization in a realm of structured beauty. |

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### Contents

Foreword | I-9 |

Geometry and the Development of Thinking | H-27 |

First Step in Projective Geometry Movement 52 | 3 |

Copyright | |

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### Common terms and phrases

A. N. Whitehead archetypal arise aspect axis breathing involution called centre circle-curve circling involution common line common point concept cone conic conic sections conjugate diameters cosmic cube cusp Desargues determined diagonal triangle Dornach double points draw earth ellipse ethereal space Euclidean Euclidean geometry Felix Klein Figure 16 Figure 17 Figure 20 forces four-line four-point given Goetheanum growth measure harmonic hexagon homology horizon-line hyperbola imaginary infinitely distant line infinitely distant point infinitude inner interplay line at infinity lines and planes lines joining linewise mathematician mathematics metrical move movement octahedron outer curve Pappos parabola parallel Pascal Line Pascal's theorem perspective physical space picture planewise points and lines pointwise polar conjugate polar line pole and polar Principle of Duality projective geometry projective transformation quadrangle quadrilateral rays reciprocal curve reciprocating circle relation right-angles Rudolf Steiner side six points sphere spiritual tangent line theorem thinking thought three lines three points whole