A Steinmetz curve is the curve of intersection of two right circular cylinders of radii and whose axes intersect perpendicularly. In case of the Steimetz curves are the edges of a Steinmetz solid. If the cylinder axes are the x- and y-axes and , then the Steinmetz curves are given by the parametric equations: It is named after mathematician Charles Proteus Steinmetz, along with Steinmetz's equation, Steinmetz solids, and Steinmetz equivalent circuit theory. In the case when the two cylinders have equal radii the curve degenerates to two intersecting ellipses. (Wikipedia).
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2toQ.
From playlist 3D printing
Steinhaus Longimeter Review / HowTo
The Steinhaus Longimeter, invented in the 1930s by Hugo Steinhaus. This is episode 29 of my video series about calculating devices. Download PDF of the longimeters I use here: http://cstaecker.fairfield.edu/~cstaecker/machines/longimeter.html End song inspired by "Hotter Than a Molotov
From playlist Calculating Devices Review / HowTos
An introduction to the Gromov-Hausdorff distance
Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any
From playlist Tutorials
Sierpinski's triangle as a fractal curve
From playlist Space filling curves
Charles Proteus Steinmetz: A Fun Scientific Biography (Part 1: 1865-1894)
How and why Charles Proteus Steinmetz came to America, created his theory of hysteresis, the first 3-phase system in the US, and phasors, all before he became the "Wizard of Schenectady." Links: My mailing list: https://kathylovesphysics.ck.page/welcome My Patreon Page: https://www.p
From playlist "The Lightning Tamers": A History of Electricity
Understanding and computing the Riemann zeta function
In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f
From playlist Programming
Minimal Discriminants and Minimal Weiestrass Forms For Elliptic Curves
This goes over the basic invariants I'm going to need for Elliptic curves for Szpiro's Conjecture.
From playlist ABC Conjecture Introduction
How Steinmetz became the "Wizard of Schenectady"
Charles Proteus Steinmetz was known as the "Wizard of Schenectady." This video is on his wild and influential life and how he more than earned that moniker. For the script: My mailing list: https://kathylovesphysics.ck.page/welcome My Patreon Page: https://www.patreon.com/user?u=15291200
From playlist "The Lightning Tamers": A History of Electricity
C. P. Steinmetz The Man Who Made Lighting
Pioneer of AC power Charles Proteus Steinmetz - a short film on him. Rescued from archives of degraded video and film this rare film examines one of North America's greatest scientists. Charles Steinmetz was an immigrant from Prussia who carried German expertise with him. He further dev
From playlist GE History
Incredible Rolling Objects which aren't Spheres!
These strange solids roll in interesting and unexpected ways! Join me as we explore these curious geometries the Wobbler, Oloid and Steinmetz Solid. 3D Print your own with the files here - https://makersmuse.podia.com/oloidsandwobblers Get your own stainless steel Oloid! https://amzn.to/
From playlist Engineering
Parametric Excitation of Electric Oscillations
#SoME2 #electricity #ericdollard This video gives an introduction into parametric resonance in a series resonant electric circuit. This is my first attempt at making a lecture style video and my first time coding math animations, two things I've always wanted to do. It was so fun to l
From playlist Summer of Math Exposition 2 videos
What is a Bézier curve? Programmers use them everyday for graphic design, animation timing, SVG, and more. #shorts #animation #programming Animated Bézier https://www.jasondavies.com/animated-bezier/
From playlist CS101
How and Why We Write the History of the Social Sciences - George Steinmetz
https://www.ias.edu/events/friends-talk-steinmetz More videos on http://video.ias.edu
From playlist Friends of the Institute
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Elliptic curves: point at infinity in the projective plane
This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-
From playlist Elliptic Curves - Number Theory and Applications
EEVblog 1506 - History of Electricity with Kathy Loves Physics
Talking about the history of electricity and physics with Kathy Joseph from Kathey Loves Physics, and her new book: The Lightning Tamers: True Stories of the Dreamers and Schemers Who Harnessed Electricity and Transformed Our World. Also talk about her youtube channel and script and book w
From playlist Interviews
George Steinmetz: Seeing the World by Paraglider | Nat Geo Live
Take a high-flying adventure over the most remote and inhospitable places on Earth with George Steinmetz, one of National Geographic's top expedition photographers. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Nat Geo Live: http://bit.ly/MoreNatGeoLive About Nat Geo Live (Nationa
From playlist National Geographic Live!: Season 4
Intersection of 2 cylinders volume
I use multivariable calculus (double/triple integrals) to calculate the volume of the famous Steinmetz solid that is obtained by intersecting two cylinders. One could do it using single variables, but the multivariable approach is more systematic. Enjoy! Note: The thumbnail is taken from
From playlist Double and Triple Integrals
How Tesla and Ferraris Created the First Polyphase Motor
In 1888, both Nikola Tesla and Galileo Ferraris published a similar description of a 2-phase motor and generator. I show how and why Ferraris was inspired by optics and Tesla by Arago's wheel. Links: My mailing list: https://kathylovesphysics.ck.page/welcome My Patreon Page: https://w
From playlist "The Lightning Tamers": A History of Electricity
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