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Foundations of Geometry, 138 episodes. Page 2 of 2.

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Title
101

Modern Essays-Christopher Morley

102

Fundamental Principles of the Metaphysic of Morals-Immanuel Kant

103

042 - Appendix

104

041 - Conclusion

105

040 - Criterion for the possibility of a geometrical construction by means of a straight-edge and a transf

106

039 - The representation of algebraic numbers and of integral rational functions as sums of squares

107

038 - Geometrical constructions by means of a straight-edge and a transferer of segments

108

037 - Analytic representation of the co-ordinates of points which can be so constructed

109

036 - The demonstation by means of the theorems of Pascal and Desargues

110

035 - Proof of the two propositions concerning Pascal's theorem Non-pascalian geometry

111

034 - The commutative law of multiplication for a non-archimedean number system

112

033 - The commutative law of multiplication for an archimedean number system

113

032 - Two theorems concerning the possibility of proving Pascal's theorem

114

031 - Significance of Desargues's theorem

115

030 - Construction of a geometry of space by aid of a desarguesian number system

116

029 - The totality of segments regarded as a complex number system

117

028 - Equation of straight line based upon the new algebra of segments

118

027 - The associative law of multiplication and the two distributive laws for the new algebra of segments

119

026 - The commutative and associative law of addition for our new algebra of segments

120

025 - Introduction to the algebra of segments based upon the Desargues's theorme

121

024 - The impossibility of demonstrating Desargues's theorem for the plane with the help of the axioms of

122

023 - Desargues's theorem and its demonstration for plane geometry by aid of the axiom of congruence

123

022 - Equality of content and the measure of area

124

021 - The measure of area of triangles and polygons

125

020 - Parallelograms and triangles having equal bases and equal altitudes

126

019 - Equal area and equal content of polygons

127

018 - Equations of straight lines and of planes

128

017 - Proportion and the theorems of similitude

129

016 - An algebra of segments based upon Pascal's theorem

130

015 - Demonstrations of Pascal's theorem

131

014 - Complex number-systems

132

013 - Independence of the axiom of continuity Non-archimedean geometry

133

012 - Independence of the axioms of congruence

134

011 - Independence of the axioms of parallels Non-euclidean geometry

135

010 - Compatibility of the axioms

136

009 - Group V Axiom of Continuity Archimedes's axiom

137

008 - Consequences of the axioms of congruence

138

007 - Group IV Axioms of congruence

139

006 - Group III Axioms of Parallels Euclid's axiom

140

005 - Consequences of the axioms of connection and order

141

004 - Group II Axioms of Order

142

003 - Group I Axioms of connection

143

002 - The elements of geometry and the five groups of axioms

144

001 - Preface Contents and Introduction