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قراءة كتاب An Elementary Course in Synthetic Projective Geometry

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‏اللغة: English
An Elementary Course in Synthetic Projective Geometry

An Elementary Course in Synthetic Projective Geometry

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دار النشر: Project Gutenberg
الصفحة رقم: 5

class="pginternal" tag="{http://www.w3.org/1999/xhtml}a">98. Definition of the pole of a line

  • 99. Fundamental theorem of poles and polars
  • 100. Conjugate points and lines
  • 101. Construction of the polar line of a given point
  • 102. Self-polar triangle
  • 103. Pole and polar projectively related
  • 104. Duality
  • 105. Self-dual theorems
  • 106. Other correspondences
  • PROBLEMS
  • CHAPTER VII - METRICAL PROPERTIES OF THE CONIC SECTIONS
  • 107. Diameters. Center
  • 108. Various theorems
  • 109. Conjugate diameters
  • 110. Classification of conics
  • 111. Asymptotes
  • 112. Various theorems
  • 113. Theorems concerning asymptotes
  • 114. Asymptotes and conjugate diameters
  • 115. Segments cut off on a chord by hyperbola and its asymptotes
  • 116. Application of the theorem
  • 117. Triangle formed by the two asymptotes and a tangent
  • 118. Equation of hyperbola referred to the asymptotes
  • 119. Equation of parabola
  • 120. Equation of central conics referred to conjugate diameters
  • PROBLEMS
  • CHAPTER VIII - INVOLUTION
  • 121. Fundamental theorem
  • 122. Linear construction
  • 123. Definition of involution of points on a line
  • 124. Double-points in an involution
  • 125. Desargues's theorem concerning conics through four points
  • 126. Degenerate conics of the system
  • 127. Conics through four points touching a given line
  • 128. Double correspondence
  • 129. Steiner's construction
  • 130. Application of Steiner's construction to double correspondence
  • 131. Involution of points on a point-row of the second order.
  • 132. Involution of rays
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