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
133. Double rays
134. Conic through a fixed point touching four lines
135. Double correspondence
136. Pencils of rays of the second order in involution
137. Theorem concerning pencils of the second order in involution
138. Involution of rays determined by a conic
139. Statement of theorem
140. Dual of the theorem