wunder · Library

Chapter V - Pencils of Rays of the Second Order

An Elementary Course in Synthetic Projective Geometry · Derrick Norman Lehmer — chapter 5 of 20 · ~85 words · public domain

Read in the Wunder reader — free

79. Pencil of rays of the second order defined 80. Tangents to a circle 81. Tangents to a conic 82. Generating point-rows lines of the system 83. Determination of the pencil 84. Brianchon’s theorem 85. Permutations of lines in Brianchon’s theorem 86. Construction of the penvil by Brianchon’s theorem 87. Point of contact of a tangent to a conic 88. Circumscribed quadrilateral 89. Circumscribed triangle 90. Use of Brianchon’s theorem 91. Harmonic tangents 92. Projectivity and perspectivity 93. Degenerate case 94. Law of duality PROBLEMS

← Previous chapterAll chaptersNext chapter →

An Elementary Course in Synthetic Projective Geometry · The Wunder Library — complete classics, free to read, with narration.

© 2026 Wunder Learning LLC · Terms & Privacy