The Cyclic quadrilateral quadrea theorem (cont.) | Rational Geometry Math Foundations 127b
3.5 هزار بار بازدید -
10 سال پیش
-
The Cyclic quadrilateral quadrea (CQQ)
The Cyclic quadrilateral quadrea (CQQ) theorem is a major re-evaluation of the classical theorem of Brahmagupta on the area of a convex cyclic quadrilateral, which combines it with Robbins much more recent formula for the corresponding area of a non-convex cyclic quadrilateral.
We exhibit the CQQ theorem, and illustrate it numerically in both the convex and non-convex cases. Prepare for some fun algebra, and some deeply satisfying numerical calculations! isn't it nice to do mathematics properly??
Video Content:
00:00 More on the CQQ theorem
1:00 Cyclic quadrilaterals
4:48 Assuming formulas of Brahmagupta and Robbins
9:27 Rational examples
13:34 Quadratic equation
16:53 Non-convex quadrilaterals
17:51 Solutions of the quadratic equation
************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at Patreon: njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
Sociology and Pure Mathematics
Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
Differential Geometry
Algebraic Topology
MathSeminars
Playing Go
Diffusion Symmetry: A bridge between ...
We exhibit the CQQ theorem, and illustrate it numerically in both the convex and non-convex cases. Prepare for some fun algebra, and some deeply satisfying numerical calculations! isn't it nice to do mathematics properly??
Video Content:
00:00 More on the CQQ theorem
1:00 Cyclic quadrilaterals
4:48 Assuming formulas of Brahmagupta and Robbins
9:27 Rational examples
13:34 Quadratic equation
16:53 Non-convex quadrilaterals
17:51 Solutions of the quadratic equation
************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at Patreon: njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
Sociology and Pure Mathematics
Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
Differential Geometry
Algebraic Topology
MathSeminars
Playing Go
Diffusion Symmetry: A bridge between ...
10 سال پیش
در تاریخ 1393/11/12 منتشر شده
است.
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