Оглавление
Charles Lutwidge Dodgson. Euclid and His Modern Rivals
Euclid and His Modern Rivals
Table of Contents
London. MACMILLAN AND CO
Oxford
Dedicated. to. the memory. of. Euclid
PREFACE TO SECOND EDITION
PREFACE TO FIRST EDITION
ARGUMENT OF DRAMA. ACT I
Preliminaries to examination of Modern Rivals
ACT II
Manuals which reject Euclid's treatment of Parallels
ACT III
Manuals which adopt Euclid's treatment of Parallels
ACT IV
Manual of Euclid
APPENDICES
I
II
III
IV
ACT I
Scene I
ACT I
Scene II
§ 1. A priori reasons for retaining Euclid's Manual
§ 2. Method of procedure in examining Modern Rivals
§ 3. The combination, or separation, of Problems and Theorems
§ 4. Syllabus of propositions relating to Pairs of Lines
§ 5. Playfair's Axiom
§ 6. The Principle of Superposition
§ 7. The omission of diagonals in Euc. II.
ACT II
Manuals which reject Euclid's treatment of Parallels. Scene I
ACT II
Scene II. Treatment of Parallels by methods involving infinite series
ACT II
Scene III. Treatment of Parallels by angles made with transversals
ACT II
Scene IV. Treatment of Parallels by equidistances
ACT II
Scene V. Treatment of Parallels by revolving Lines
ACT II
Scene VI. Treatment of Parallels by direction
ACT II
Scene VI
ACT III
Scene I
ACT III
Scene I
ACT III
Scene I
ACT III
Scene I
ACT III
Scene I
ACT III
Scene I
ACT III
Scene II
ACT III
Scene II
ACT IV
§ 1. Treatment of Pairs of Lines
§ 2. Euclid's Constructions
§ 3. Euclid's Demonstrations
§ 4. Euclid's Style
§ 5. Euclid's treatment of Lines and Angles
§ 6. Omissions, alterations, and additions, suggested by Modern Rivals
§ 7. The summing-up
ERRATUM
