All Episodes
Foundations of Geometry — 42 episodes
042 - Appendix
041 - Conclusion
040 - Criterion for the possibility of a geometrical construction by means of a straight-edge and a transf
039 - The representation of algebraic numbers and of integral rational functions as sums of squares
038 - Geometrical constructions by means of a straight-edge and a transferer of segments
037 - Analytic representation of the co-ordinates of points which can be so constructed
036 - The demonstation by means of the theorems of Pascal and Desargues
035 - Proof of the two propositions concerning Pascal's theorem Non-pascalian geometry
034 - The commutative law of multiplication for a non-archimedean number system
033 - The commutative law of multiplication for an archimedean number system
032 - Two theorems concerning the possibility of proving Pascal's theorem
031 - Significance of Desargues's theorem
030 - Construction of a geometry of space by aid of a desarguesian number system
029 - The totality of segments regarded as a complex number system
028 - Equation of straight line based upon the new algebra of segments
027 - The associative law of multiplication and the two distributive laws for the new algebra of segments
026 - The commutative and associative law of addition for our new algebra of segments
025 - Introduction to the algebra of segments based upon the Desargues's theorme
024 - The impossibility of demonstrating Desargues's theorem for the plane with the help of the axioms of
023 - Desargues's theorem and its demonstration for plane geometry by aid of the axiom of congruence
022 - Equality of content and the measure of area
021 - The measure of area of triangles and polygons
020 - Parallelograms and triangles having equal bases and equal altitudes
019 - Equal area and equal content of polygons
018 - Equations of straight lines and of planes
017 - Proportion and the theorems of similitude
016 - An algebra of segments based upon Pascal's theorem
015 - Demonstrations of Pascal's theorem
014 - Complex number-systems
013 - Independence of the axiom of continuity Non-archimedean geometry
012 - Independence of the axioms of congruence
011 - Independence of the axioms of parallels Non-euclidean geometry
010 - Compatibility of the axioms
009 - Group V Axiom of Continuity Archimedes's axiom
008 - Consequences of the axioms of congruence
007 - Group IV Axioms of congruence
006 - Group III Axioms of Parallels Euclid's axiom
005 - Consequences of the axioms of connection and order
004 - Group II Axioms of Order
003 - Group I Axioms of connection
002 - The elements of geometry and the five groups of axioms
001 - Preface Contents and Introduction