Curves | Orientation (geometry) | Polygons
In mathematics, an orientation of a curve is the choice of one of the two possible directions for travelling on the curve. For example, for Cartesian coordinates, the x-axis is traditionally oriented toward the right, and the y-axis is upward oriented. In the case of a planar simple closed curve (that is, a curve in the plane whose starting point is also the end point and which has no other self-intersections), the curve is said to be positively oriented or counterclockwise oriented, if one always has the curve interior to the left (and consequently, the curve exterior to the right), when traveling on it. Otherwise, that is if left and right are exchanged, the curve is negatively oriented or clockwise oriented. This definition relies on the fact that every simple closed curve admits a well-defined interior, which follows from the Jordan curve theorem. The inner loop of a beltway road in a country where people drive on the right side of the road is an example of a negatively oriented (clockwise) curve. In trigonometry, the unit circle is traditionally oriented counterclockwise. The concept of orientation of a curve is just a particular case of the notion of orientation of a manifold (that is, besides orientation of a curve one may also speak of orientation of a surface, hypersurface, etc.). (Wikipedia).
Identify the type of angle from a figure acute, right, obtuse, straight ex 1
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships
Gradient (2 of 3: Angle of inclination)
More resources available at www.misterwootube.com
From playlist Further Linear Relationships
Identifying an acute, straight and obtuse angle- Online Tutor- Free Math Videos
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Determine the values of two angles that lie on a lie with a third angle
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Determining acute vertical angles
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
How to determine two acute adjacent angles from a figure
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)
From playlist Miscellaneous
Introduction to Angles (2 of 2: Definition & Basic Details)
More resources available at www.misterwootube.com
From playlist Angle Relationships
Determining if two angles are adjacent or not
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Robert YOUNG - Quantifying nonorientability and filling multiples of embedded curves
Abstract: https://indico.math.cnrs.fr/event/2432/material/17/0.pdf
From playlist Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
Quantifying nonorientability and filling multiples of embedded curves - Robert Young
Analysis Seminar Topic: Quantifying nonorientability and filling multiples of embedded curves Speaker: Robert Young Affiliation: New York University; von Neumann Fellow, School of Mathematics Date: October 5, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Worldwide Calculus: Stokes' Theorem
Lecture on 'Stokes' Theorem' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Verifying Archimedes' parabolic area formula with Algebraic Calculus | AC and DCB Curves 5| Wild Egg
The Algebraic Calculus One course, available now online at openlnearing, gives a novel and more algebraic approach to the subject, where curves take precedence over functions, where limits and real numbers are not required, and where the logical structure is clear, happily with no cheating
From playlist Algebraic Calculus One Info
L. Liechti - Minimal dilatations on nonorientable surfaces
We discuss the problem of finding the minimal dilatation among pseudo-Anosov mapping classes on a fixed closed surface. In particular, for every nonorientable closed surface of even genus, we consider a simple candidate which conjecturally minimises the dilatation among pseudo-Anosov mappi
From playlist Ecole d'รฉtรฉ 2018 - Teichmรผller dynamics, mapping class groups and applications
Worldwide Calculus: Green's Theorem
Lecture on 'Green's Theorem' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
Linearly Parametrized Curves | Algebraic Calculus One | Wild Egg
Parametrized curves figure prominently in the Algebraic Calculus, and they coincide with de Casteljau Bezier curves. The simplest case are the linearly parametrized curves given by a pair of linear polynomials of polynumbers. This gives us an alternate view of oriented polygonal splines.
From playlist Algebraic Calculus One
Signed Areas of Triangles on Curves | Algebraic Calculus One | Wild Egg
We meet some very simple curves that are going to be playing a major role in the Algebraic Calculus: the parabola, circle and hyperbola, in the context of looking at signed areas of triangles of points from curves. We get some rather lovely formulas that hint at the power of combining th
From playlist Algebraic Calculus One from Wild Egg
๐ Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Areas of Slices and Caps, and Archimedes' Formula | Algebraic Calculus One | Wild Egg
We introduce the signed areas of slices of curve segments, obtained from chords, and areas of caps, obtained from tangents to curve segments. For the case of quadratic polynomially parametrized curves, or de Casteljau Bezier curves, we derive important formulas for these areas, and exten
From playlist Old Algebraic Calculus Videos