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Invidious > Channel > New Calculus

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YT 14 minutes 37 seconds New Calculus There are no axioms or postulates. Requirement 1: The POINT and LINE YT 11 minutes 6 seconds New Calculus There are no axioms or postulates. Requirement 2 and 3: The extended line and circle. YT 12 minutes 20 seconds New Calculus There are no axioms or postulates. The 4th Requirement: The Right Angle.

YT 12 minutes 18 seconds New Calculus There are no axioms or postulates. The fifth requirement: The constant sum. YT 4 minutes 21 seconds New Calculus Deriving the conic sections from the requirements YT 15 minutes 57 seconds New Calculus Euclid's Postulates or Claims? - PART 1

YT 4 minutes 43 seconds New Calculus Euclid's postulates or claims? - PART 2 YT 13 minutes 51 seconds New Calculus Euclid's Postulates or claims? - PART 3, 4 and 5 YT 8 minutes 43 seconds New Calculus Proof of the so-called 5th Postulate.

YT 4 minutes 25 seconds New Calculus The Straight line and Extended Line YT 2 minutes 39 seconds New Calculus The Circle YT 11 minutes 19 seconds New Calculus All right angles are equal

YT 7 minutes 45 seconds New Calculus Sum of cointerior angles is constant YT 5 minutes 23 seconds New Calculus The REAL foundations of mathematics YT 14 minutes 10 seconds New Calculus There are no axioms in sound mathematics : Part 1

YT 13 minutes 3 seconds New Calculus There are no axioms in sound mathematics : Part 2 YT 11 minutes 13 seconds New Calculus There are no axioms in sound mathematics : Part 3 YT 10 minutes 16 seconds New Calculus There are no axioms in sound mathematics : Part 4

YT 9 minutes 43 seconds New Calculus There are no axioms in sound mathematics : Part 5 YT 12 minutes 26 seconds New Calculus Epilogue : The 5 requirements (not axioms or postulates!) YT 13 minutes 59 seconds New Calculus Euclid and the abstract unit.

YT 13 minutes 59 seconds New Calculus New Math: What came before the Elements of Euclid? YT 12 minutes 54 seconds New Calculus What exactly are the Elements of Euclid about? YT 14 minutes 36 seconds New Calculus The real foundations of mathematics.

YT 2 minutes 37 seconds New Calculus Indefinite versus infinite YT 4 minutes 23 seconds New Calculus Circle paths and angles - Answer to viewer questions. YT 4 minutes 38 seconds New Calculus What is the cross ratio in GEOMETRY about?

YT 3 minutes 26 seconds New Calculus How to measure the area or circumference of a circle. YT 2 minutes 30 seconds New Calculus Ancient Greeks measured angles in terms of a right angle.