In geometry, a circular algebraic curve is a type of plane algebraic curve determined by an equation F(x, y) = 0, where F is a polynomial with real coefficients and the highest-order terms of F form a polynomial divisible by x2 + y2. More precisely, ifF = Fn + Fn−1 + ... + F1 + F0, where each Fi is homogeneous of degree i, then the curve F(x, y) = 0 is circular if and only if Fn is divisible by x2 + y2. Equivalently, if the curve is determined in homogeneous coordinates by G(x, y, z) = 0, where G is a homogeneous polynomial, then the curve is circular if and only if G(1, i, 0) = G(1, −i, 0) = 0. In other words, the curve is circular if it contains the circular points at infinity, (1, i, 0) and (1, −i, 0), when considered as a curve in the complex projective plane. (Wikipedia).
How do you graph an equation using the intercept method
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
How do I graph a line using slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
What is slope intercept form and how do we use it to graph a line
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
How do you graph an equation using slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Approximating Conics with Polynomial Curves | Algebraic Calculus One | Wild Egg
We introduce two important families of polynumbers: the cosine and sine polynumbers associated to the unit circle with equation x^2+y^2=1, and the cosh and sinh polynumbers associated to the relativistic hyperbola with equation x^2-y^2=1. These work together to give us circular polynumber
From playlist Algebraic Calculus One
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Log and Exp on a Central Conic | Algebraic Calculus One | Wild Egg
We introduce a unified view of three important families of "functions": the circular functions (cos, sin,tan etc), the hyperbolic functions (cosh,sinh,tanh etc) and log and exp. After a brief intro to each of these following the standard orthodoxy, we set about creating a simple geometrica
From playlist Old Algebraic Calculus Videos
Green Geometry, the Standard Hyperbola, and Mercator's formula | Algebraic Calculus One | Wild Egg
The usual complex numbers and their connections with the circular functions cos, sin, tan etc have relativistic analogs, which are crucial in understanding both the corresponding hyperbolic functions cosh, sinh, tanh etc as well as the log and exp functions. The former are associated to th
From playlist Old Algebraic Calculus Videos
Jose Perea - LatMath 2022 - IPAM's Latinx in the Mathematical Sciences Conference
Recorded 08 July 2022. Jose Perea presents at IPAM's Latinx in the Mathematical Sciences Conference. Learn more online at: http://www.ipam.ucla.edu/programs/special-events-and-conferences/latinx-in-the-mathematical-sciences-conference-2022/
From playlist LatMath 2022 - IPAM's Latinx in the Mathematical Sciences Conference
What is everything you need to know to graph an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Log Ladders and Lemmermeyer's Product | Algebraic Calculus One | Wild Egg
We introduce an integral affine structure on a conic, through an elegant but simple geometrical product of points. This appears to have been first explained in the book "Elliptic Functions and Elliptic Integrals" of Prasolov and Solovyev in 1997, and then independently by Franz Lemmermeyer
From playlist Old Algebraic Calculus Videos
Straight line as a parametric curve -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Episode 9: Early History - Project MATHEMATICS!
Episode 9. Early History of Mathematics: This video traces some of the landmark developments in the early history of mathematics, from Babylonian calendars on clay tablets produced 5000 years ago, to the introduction of calculus in the seventeenth century. A Program Guide and Workbook is
From playlist Courses and Series
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Circle tangents, approx-areas and half-slopes | Algebraic Calculus One | Wild Egg
Having a technology for computing tangents to curves is very powerful. When applied to the unit circle, we get both inscribed and circumscribed polygonal spline approximations to the "area" of circular arcs, following the general plan of Archimedes. These are not true areas, but rather app
From playlist Algebraic Calculus One
Relations and curves -- College Algebra
This lecture is on College Algebra. It follows the introductory part of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist College Algebra
Summary for graphing an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
What is the slope of a linear equation
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Modular signed slice area of a circular polynumber curve | Algebraic Calculus One | Wild Egg
Dr Anna Tomskova explains how to find the signed slice area of a circular polynumber curve in a modular sense. That means that we consider polynumber terms up to a fixed degree, but ignore all terms of higher degree. ************************ Screenshot PDFs for my videos are available at
From playlist Old Algebraic Calculus Videos