Alena Math
This video channel describes the quadrature of ordinary curves, using an invariant instead of a limit, in order to compute the area and tangent slope. This kind of mathematics may have been available in 1640 AD, at the dawn of calculus. In actuality, it is a modern approach, based on the work of Professor Norman Wildberger, at UNSW. It uses the five properties of areas: Additivity, Linearity, Translation, Dilation and Normalization.
https://orcid.org/0000-0003-4551-7516
2.1.9 Variation on Johnson Jackson Pythagorean Theorem 9
2.1.8 Variation on Johnson Jackson Pythagorean Theorem 8
2.1.7 Variation on Johnson Jackson Pythagorean Theorem 7
2.4.3 Ne'Kiya Jackson Proof of Pythagoras Theorem Variation 3
2.4.2 Ne'Kiya Jackson Proof of Pythagoras Theorem Error Correction
2.4.1 Ne'Kiya Jackson Proof of Pythagoras Theorem
2.3.4 Jason Zimba Proof of Pythagoras Theorem, using cosine function
2.3.3 Jason Zimba Proof of Pythagoras Theorem, using sine function
2.3.2 Sum Angle Formulae
2.3.1 Difference Angle Formulae
2.2.1 Pythagoras Theorem via Euclid Approach
2.1.6 Variation on Johnson Jackson Pythagorean Theorem 6
2.1.5 Variation on Johnson Jackson Pythagorean Theorem 5
2.1.4 Variation on Johnson Jackson Pythagorean Theorem 4
2.1.3 Variation on Johnson Jackson Pythagorean Theorem 3
2.1.2 Variation on Johnson Jackson Pythagorean Theorem 2
2.1.1 Variation on Johnson Jackson Pythagorean Theorem 1
1.15.4 Box Operators How To Think About Them
Latin Intro Veni Vidi Solvi
1.15.3 Box Operators and Polynumbers
1.15.2 Box Operators Gazoo
1.9.4 Binomial Slug Fest, Analysis of Wildberger's New Proof of Cavalieri's Quadrature Formula
1.9.3 Binomial Slug Fest Using Polynumbers
1.16.8 Geometry for Quadrature - Cavalieri Shift #3
1.16.7 Geometry for Quadrature - Cavalieri Shift #2
1.16.6 Geometry for Quadrature - Cavalieri Shift #1
1.16.5 Geometry for Quadrature
1.16.4 Geometry for Quadrature
1.16.3 Geometry for Quadrature
1.16.2 Geometry for Quadrature