Elementary projective (line) geometry | Elementary Mathematics (K-6) Explained 11 | NJ Wildberger
Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 education. This video introduces some basic notions: the join of two points, and the meet of two lines, and definitions of side, vertex, triangle and trilateral. Then we examine a remarkable correspondence between quadrangles and quadrilaterals. The three diagonal points and diagonal sides feature prominently in this construction.
You will want to follow along with these constructions, on your own piece of paper with a pen or pencil and ruler.
************************
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/Norman_Wildberger
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/algebraic-calculus-one/ 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 https://www.patreon.com/njwildberger Your support would be much appreciated
Видео Elementary projective (line) geometry | Elementary Mathematics (K-6) Explained 11 | NJ Wildberger канала Insights into Mathematics
You will want to follow along with these constructions, on your own piece of paper with a pen or pencil and ruler.
************************
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/Norman_Wildberger
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/algebraic-calculus-one/ 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 https://www.patreon.com/njwildberger Your support would be much appreciated
Видео Elementary projective (line) geometry | Elementary Mathematics (K-6) Explained 11 | NJ Wildberger канала Insights into Mathematics
Показать
Комментарии отсутствуют
Информация о видео
16 апреля 2012 г. 12:29:19
00:35:41
Другие видео канала
Pappus and Pascal | Elementary Mathematics (K-6) Explained 12 | NJ WildbergerProjective geometry | Math History | NJ WildbergerFoundations of Projective Geometry (FPG0): IntroductionProjective Plane and Homogeneous Coordinates - FLT Proof #4.1.2.5M435 Ep 3 of 8 The Projective Plane RP2 TopologyProjective Geometry and the Little Desargues TheoremThe fundamental theorem of projective geometry | WildTrig: Intro to Rational TrigonometryHow to set up fractions III - canonical forms via the Euclidean Algorithm | FamousMathProbs24c | NJWGod and MathematicsEuclid Book 1 Props VI-VIII - a foundation for geometry | Sociology and Pure Maths | N J WildbergerThe Real Projective PlaneLogical reasoning with tic-tac-toe | Elementary Mathematics (K-6) Explained 13 | NJ WildbergerEdward Teller - Discovering an interest in projective geometry (8/147)Desargues' Triangle TheoremThe Geometry of Relativity and why your GPS worksProjective geometry and perspective | WildTrig: Intro to Rational Trigonometry | N J WildbergerAreas and volumes for a sphere | Universal Hyperbolic Geometry 35 | NJ WildbergerEuclid Book 1 Props I -- V --- a critical review | Sociology and Pure Mathematics | N J WildbergerProjective geometry and homogeneous coordinates | WildTrig: Intro to Rational Trigonometry