In complex geometry, an imaginary line is a straight line that only contains one real point. It can be proven that this point is the intersection point with the conjugated line. It is a special case of an imaginary curve. An imaginary line is found in the complex projective plane P2(C) where points are represented by three homogeneous coordinates Boyd Patterson described the lines in this plane: The locus of points whose coordinates satisfy a homogeneous linear equation with complex coefficientsis a straight line and the line is real or imaginary according as the coefficients of its equation are or are not proportional to three real numbers. Felix Klein described imaginary geometrical structures: "We will characterize a geometric structure as imaginary if its coordinates are not all real.: According to Hatton: The locus of the double points (imaginary) of the overlapping involutions in which an overlapping involution pencil (real) is cut by real transversals is a pair of imaginary straight lines. Hatton continues, Hence it follows that an imaginary straight line is determined by an imaginary point, which is a double point of an involution, and a real point, the vertex of the involution pencil. (Wikipedia).
What are parallel lines and a transversal
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
What are the Angle Relationships for Parallel Lines and a Transversal
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Tangent Line of Curve Parallel to A Line Calculus 1 AB
I work through an example to explain how to find tangent lines to a function that are parallel to a given line. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channe
From playlist Calculus
π Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
Geometry - Basic Terminology (26 of 34) What are Tangent Lines?
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the tangent line in relation to the circle. Next video in the Basic Terminology series can be seen at: http://youtu.be/CvEL2McGX0M
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
What is the Consecutive Interior Angle Converse Theorem
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Proving Parallel Lines with Angle Relationships
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Imaginary Time: Stephen Hawking's Favorite Physics Concept Relativity by Parth G
The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: https://skl.sh/parthg05211 When asked about the one thing Hawking wished everyone knew about his work, he replied "Imaginary Time". #imaginary time #stephenhawking #physics Hi everyone, in this
From playlist Relativity by Parth G
Writing a Proof for Parallel Lines
π Learn how to write a proof when given angles from parallel lines and a transversalWe will explore angle relationships with parallel lines and a transversal. Parallel lines are two lines on a plane that will never intersect and a transversal is a line that intersects both of the parallel
From playlist Parallel Lines and a Transversal
NUMBERS: "i", the Number of Heaven | Five numbers that changed the world | Cool Math
NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the
From playlist Civilization
A (compelling?) reason for the Riemann Hypothesis to be true #SOME2
A visual walkthrough of the Riemann Zeta function and a claim of a good reason for the truth of the Riemann Hypothesis. This is not a formal proof but I believe the line of argument could lead to a formal proof.
From playlist Summer of Math Exposition 2 videos
Calculus 2: Complex Numbers & Functions (1 of 28) What is a Complex Number?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is, graphically and mathematically, a complex number; and how it's used in electric circuits, Fourier transforms, and Euler formula. Next video in the series can be seen at: https://yout
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
How Imaginary Numbers Make Real Physics Easier to Understand
Go to Squarespace.com for a free trial, and when youβre ready to launch, go to http://www.squarespace.com/parthg to save 10% off your first purchase of a website or domain. #imaginarynumber #complexnumbers #physics In this video, we'll look at the basics of complex and imaginary numbers,
From playlist Quantum Physics by Parth G
Imaginary Numbers Are Real [Part 13: Riemann Surfaces]
Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources. Supporting Code: https://github.com/stephencwelch/Imaginary-Numbers-Are-Real Imaginary numbers are not some wild invention, they are the deep and natural result
From playlist Imaginary Numbers are Real
History of Mathematics - Complex Analysis Part 1: complex numbers. Oxford Maths 3rd Yr Lecture
Complex numbers pervade modern mathematics, but have not always been well understood. They first emerged in the sixteenth century from the study of polynomial equations, and were quickly recognised as useful β if slightly weird β mathematical tools. In these lectures (this is the first
From playlist Oxford Mathematics 3rd Year Student Lectures
ALGEBRA & PRE-ALGEBRA REVIEW: Ch 1 (15 of 53) What Are Number Sets?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are counting numbers, whole numbers, integers, rational and irrational numbers, real numbers, and imaginary numbers. Next video in this series can be seen at: https://youtu.be/frXUlpNq4W
From playlist Michel van Biezen: MATH TO KNOW BEFORE HIGH SCHOOL
Imaginary Numbers Are Real [Part 1: Introduction]
For early access to new videos and other perks: https://www.patreon.com/welchlabs Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources. Imaginary numbers are not some wild invention, they are the deep and natural
From playlist Imaginary Numbers are Real
e to the (i pi): the Most Intuitive Explanation // #SoME2 on Euler's Formula Ο
How does Euler's identity work? How can it possible be the case that five such fundamental constants of mathematics come together to form such a simple identity? Euler's formula has been called the most beautiful in all of mathematics, but what does it really mean? Subscribe: https://bit.
From playlist Math Minutes
Consecutive Angles Theorem with Parallel Lines
π Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines
From playlist Parallel Lines and a Transversal Theorems