CHAPTER IV - POINT-ROWS OF THE SECOND ORDER
60. Point-row of the second order defined
61. Tangent line
62. Determination of the locus
63. Restatement of the problem
64. Solution of the fundamental problem
65. Different constructions for the figure
66. Lines joining four points of the locus to a fifth
67. Restatement of the theorem
68. Further important theorem
69. Pascal’s theorem
70. Permutation of points in Pascal’s theorem
71. Harmonic points on a point-row of the second order
72. Determination of the locus
73. Circles and conics as point-rows of the second order
74. Conic through five points
75. Tangent to a conic
76. Inscribed quadrangle
77. Inscribed triangle
78. Degenerate conic
PROBLEMS
CHAPTER V - PENCILS OF RAYS OF THE SECOND ORDER
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