Objects defined for a triangle
The Fuhrmann triangle, named after Wilhelm Fuhrmann (1833–1904), is special triangle based on a given arbitrary triangle. For a given triangle and its circumcircle the midpoints of the arcs over triangle sides are denoted by . Those midpoints get reflected at the associated triangle sides yielding the points , which forms the Fuhrmann triangle. The circumcircle of Fuhrmann triangle is the Fuhrmann circle. Furthermore the Furhmann triangle is similar to the triangle formed by the mid arc points, that is . For the area of the Fuhrmann triangle the following formula holds: Where denotes the circumcenter of the given triangle and its radius as well as denoting the incenter and its radius. Due to Euler's theorem one also has . The following equations hold for the sides of the Fuhrmann triangle: Where denote the sides of the given triangle and the sides of the Fuhrmann triangle (see drawing). (Wikipedia).
Sierpinski's triangle as a fractal curve
From playlist Space filling curves
This is a recreation of a short clip from a long form video showing six different ways to construct the Sierpinski triangle: https://youtu.be/IZHiBJGcrqI In this short, we shade odd entries of the Halayuda/Pascal triangle to obtain the Sierpinski triangle. Can you explain why this works?
From playlist Fractals
Quadratic curvature for algebraic curves | Differential Geometry 14 | NJ Wildberger
In this video we extend the discussion of curvature from parabolas to more general conics, and hence to more general algebraic curves. The advantage of basing things on the parabola is that we get nice connections between curvature and the foci, and that once we move to studying surfaces i
From playlist Differential Geometry
Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger
In classical hyperbolic geometry, orthocenters of triangles do not in general exist. Here in universal hyperbolic geometry, they do. This is a crucial building block for triangle geometry in this subject. The dual of an orthocenter is called an ortholine---also not seen in classical hyperb
From playlist Universal Hyperbolic Geometry
Check out our friends at FW:Thinking, "Can Computers Predict Oscar Winners?" http://youtu.be/NNBq67UpkMk SUBSCRIBE to BrainCraft! Click here: http://ow.ly/rt5IE Twitter: https://twitter.com/nessyhill Instagram: http://instagram.com/nessyhill ↓ MORE LINKS AND REFERENCES BELOW ↓ Neuros
From playlist Psychology & Pop Culture
AP Physics 1 Review of Charge and Circuit | Physics | Khan Academy
In this video David quickly explains each charge and circuit concept and does a sample question for each one. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-free-response-questions-2015/v/2015-ap-p
From playlist Review for AP Physics 1 exam | AP Physics 1 | Khan Academy
Laurent Théry : Proof and computation in Coq
Abstract : In this talk, we are going to show on some elementary examples how computation can easily be incorporated inside proof in a proof system like Coq. Recording during the thematic meeting: "Effective analysis: foundations, implementations, certification" the January 14, 2016 at th
From playlist Mathematical Aspects of Computer Science
Speaker: Peter Fuhrmann Revisiting the legendary computer in a joystick The C64-DTV is a remake of the classic homecomputer sold as a joystick-contained videogame. The talk gives an overview about the structure of the DTV, and shows different hardware and software modifications that ca
From playlist 24C3: Full steam ahead
👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
Applying reimann sum for the midpoint rule and 3 partitions
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
How to find the position function given the acceleration function
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist Riemann Sum Approximation
Midpoint riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
How to use midpoint rienmann sum with a table
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Jean-François Quint - 5/6 Mesures stationnaires et fermés invariants des espaces homogènes
Dans ce cours, je présenterai des résultats que j'ai obtenus récemment en collaboration avec Yves Benoist. Nous avons démontré que, pour certaines actions de groupes sur des espaces homogènes, les adhérences d'orbites sont toutes des sous-variétés. Cet énoncé fait suite à de célèbres trava
From playlist Jean-François Quint - Mesures stationnaires et fermés invariants des espaces homogènes
VISUAL PROOF | Medians Divides a Triangle into Equal Areas | Using ANIMATION Tools | CREATA CLASSES
Understand the Visual proof of medians divides the triangle into six equal triangles, using ANIMATION & Visual Tools. Visit our website: https://creataclasses.com/ Introduction to Median: https://youtu.be/eHewPlLq7ps For a full-length course on SEGMENTS OF TRIANGLE & TRIANGLE CENTERS: h
From playlist MEDIANS
VISUAL PROOF | Area of Triangle is 4/3 times area of triangle formed by Medians | CREATA CLASSES
Understand the Visual proof of formula Area of Triangle is 4/3 times area of triangle formed by Medians, using ANIMATION & Visual Tools. Visit our website: https://creataclasses.com/ Introduction to Median: https://youtu.be/eHewPlLq7ps For a full-length course on SEGMENTS OF TRIANGLE &
From playlist MEDIANS
This is an infinite zoom on the famous Sierpinski triangle fractal. If you want to see six different constructions of this fractal, check out this long form video I made : https://youtu.be/IZHiBJGcrqI . #math #manim #fractal #sierpinski #zoom #infinite #shorts #mathshorts
From playlist Fractals