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Frontmatter -- Introduction -- Contents -- 1. Elements of Mathematics (165) -- Preface (1) (164) -- Preface (2) (94a) -- 1. Introduction, on Mathematics in General -- 2. Sequences -- 3. The Fundamental Operations in Algebra -- 4. Factors -- 5. Negative Numbers -- 6. Fractional Quantities -- 7. Simple Equations -- 8. Ratios and Proportions -- 9. Surds -- 10. Topical Geometry -- 11. Graphics and Perspective -- 2. New Elements of Geometry Based on Benjamin Peirce's Works and Teachings (94) -- Preface -- Book I. Fundamental Properties of Space -- Book II. Topology -- Book III. Graphics -- Book IV. Metrics -- 3. Topical Geometry (137) -- Topical Geometry (137) -- 4. Appendices -- A. On the Quadratic Equation (86) -- B. Rational Fractions (278a fragment) -- C. Numerical Equations (69) -- D. [Additional Definitions] (from 166 and 150) -- E. [A Gloss. Elliptic, Hyperbolic, and Parabolic Measurement] (150) -- F. A Geometrico-Logical Discussion (126) -- G. [Projective Space] (part of 114) -- H. [Logic of Number - Le Fevre] (229) -- I. [Additional Theorems] (150 and 266) -- J. Promptuarium of Analytical Geometry (part of 102) -- K. Pythagorean Triangles (109) -- L. Analysis of Time (part of 138) -- M. Plan of Geometry (132) -- N. [Non-Euclidean Representation] (105) -- O. An Attempt to State Systematically the Doctrine of the Census in Geometrical Topics or Topical Geometry, More Commonly known as 'Topology'; Being, a Mathematico- Logical Recreation of C. S. Peirce. Following the Lead of J. B. Listing's Paper in the Goettinger Abhandlungen (from 145) -- P. [Census from Century Dictionary with Model] -- Q. Chapter III The Nature of Logical Inquiry (608) -- R. Three Problems -- S. Comments on Cayley's Memoir on Abstract Geometry from the Point of View of the Logic of Relatives (546) -- T. [Obituary. Prof. Arthur Cayley] -- U. [From an Address to National Academy of Sciences] (95) -- Key to Greek Terms -- Key to Contents of MS. 165 -- Key to Contents of MS. 94 -- Index of Names -- Subject Index