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Parametric Curves - Basic Graphing
Parametric Curves - Basic Graphing -
Curvature of a Plane Curve
Curvature of a Plane CurveCurvature of a Plane Curve
-
Parametrization of a plane curve
Parametrization of a plane curveParametrization of a plane curve
اسم المساق: تفاضل وتكامل (ب) calculus -- B اسم المحاضر: د. إسماعيل محيي الدين الأسطل الجامعة الإسلامية- غزة الكلية: العلوم القسم: الرياضيات وصف المساق: يشمل ... -
Plane Curve by TPS stainless Steel Channel Letter Bending Machine
Plane Curve by TPS stainless Steel Channel Letter Bending MachinePlane Curve by TPS stainless Steel Channel Letter Bending Machine
TPS Channel Letter Bending Machine (Sign Bending Machine, CNC automatic bender) TaiPuSheng Technology Co., Ltd (HangZhou City, China) provides equipment (Cha... -
Calculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a PlaneCalculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a Plane. -
Curvature for a Plane Curve Given the Cartesian Equation
Curvature for a Plane Curve Given the Cartesian EquationCurvature for a Plane Curve Given the Cartesian Equation
-
Proof that the Orbit is a Plane Curve
Proof that the Orbit is a Plane CurveProof that the Orbit is a Plane Curve
-
Curve Shortening makes a plane curve convex
Curve Shortening makes a plane curve convexCurve Shortening makes a plane curve convex
Matt Grayson proved in1987 that Curve Shortening will make any plane curve convex. Michael Gage and Richard Hamilton showed that after that it becomes more a... -
area for plane curve ( using single integration)
area for plane curve ( using single integration)area for plane curve ( using single integration)
find area for plane curve.Either given equation of curve in cartetion ,polar, parametric any form. if you like this video and want to see more then subscribe... -
Where does the curve intersect the plane?
Where does the curve intersect the plane?Where does the curve intersect the plane?
Finding the point where a curve intersects a plane. -
Curvature for a Plane Curve Given the Parametric Equations
Curvature for a Plane Curve Given the Parametric EquationsCurvature for a Plane Curve Given the Parametric Equations
-
Length of a Curve
Length of a CurveLength of a Curve
Using integration to find the length of a curve. -
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of QAaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Plane Curve Singularities and the Absolute Galois Group of Q. -
Parametric Equations - Some basic questions
Parametric Equations - Some basic questionsParametric Equations - Some basic questions
Parametric Equations - Some basic questions. In this video, we look at some basic questions related to parametric equations: what point in the plane correspo...
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Parametric Curves - Basic Graphing
Parametric Curves - Basic GraphingParametric Curves - Basic Graphing
IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,5] I ACTUALLY USE [0,4]. SORRY FOR ANY CONFUSION!!** Parametric ... -
Curvature of a Plane Curve
Curvature of a Plane CurveCurvature of a Plane Curve
-
Parametrization of a plane curve
Parametrization of a plane curveParametrization of a plane curve
اسم المساق: تفاضل وتكامل (ب) calculus -- B اسم المحاضر: د. إسماعيل محيي الدين الأسطل الجامعة الإسلامية- غزة الكلية: العلوم القسم: الرياضيات وصف المساق: يشمل ... -
Plane Curve by TPS stainless Steel Channel Letter Bending Machine
Plane Curve by TPS stainless Steel Channel Letter Bending MachinePlane Curve by TPS stainless Steel Channel Letter Bending Machine
TPS Channel Letter Bending Machine (Sign Bending Machine, CNC automatic bender) TaiPuSheng Technology Co., Ltd (HangZhou City, China) provides equipment (Cha... -
Calculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a PlaneCalculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a Plane. -
Curvature for a Plane Curve Given the Cartesian Equation
Curvature for a Plane Curve Given the Cartesian EquationCurvature for a Plane Curve Given the Cartesian Equation
-
Proof that the Orbit is a Plane Curve
Proof that the Orbit is a Plane CurveProof that the Orbit is a Plane Curve
-
Curve Shortening makes a plane curve convex
Curve Shortening makes a plane curve convexCurve Shortening makes a plane curve convex
Matt Grayson proved in1987 that Curve Shortening will make any plane curve convex. Michael Gage and Richard Hamilton showed that after that it becomes more a... -
area for plane curve ( using single integration)
area for plane curve ( using single integration)area for plane curve ( using single integration)
find area for plane curve.Either given equation of curve in cartetion ,polar, parametric any form. if you like this video and want to see more then subscribe... -
Where does the curve intersect the plane?
Where does the curve intersect the plane?Where does the curve intersect the plane?
Finding the point where a curve intersects a plane. -
Curvature for a Plane Curve Given the Parametric Equations
Curvature for a Plane Curve Given the Parametric EquationsCurvature for a Plane Curve Given the Parametric Equations
-
Length of a Curve
Length of a CurveLength of a Curve
Using integration to find the length of a curve. -
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of QAaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Plane Curve Singularities and the Absolute Galois Group of Q. -
Parametric Equations - Some basic questions
Parametric Equations - Some basic questionsParametric Equations - Some basic questions
Parametric Equations - Some basic questions. In this video, we look at some basic questions related to parametric equations: what point in the plane correspo... -
Parametrizing Curve
Parametrizing CurveParametrizing Curve
We upload EVERY OTHER one of our lecture videos to YouTube. Visit http://fireflylectures.com to access all of our high definition lecture videos. Facebook Pa... -
MA Plane Curve from Graphs of Component Graphs
MA Plane Curve from Graphs of Component GraphsMA Plane Curve from Graphs of Component Graphs
Given the graphs that determine x and y for a plane curve, this shows how they combine to create the plane curve. -
Initial Condition and Direction of a Parametric Point on a Plane Curve.wmv
Initial Condition and Direction of a Parametric Point on a Plane Curve.wmvInitial Condition and Direction of a Parametric Point on a Plane Curve.wmv
Initial Condition and Direction of a Parametric Point on a Plane Curve By: Michelle Li. -
Sketching a Parametrized Curve
Sketching a Parametrized CurveSketching a Parametrized Curve
Multivariable Calculus: Sketch the curve for the vector-valued function r(t) = (cos(t), sin(t), -cos(t)-sin(t) +1). We describe the trace of the curve as the... -
lengh of a plane curve
lengh of a plane curvelengh of a plane curve
integral calculus. -
Modeling Hint #22 of 100 - Pattern on Planar Curve
Modeling Hint #22 of 100 - Pattern on Planar CurveModeling Hint #22 of 100 - Pattern on Planar Curve
Dickson Sham old 100 modeling hints #22 1. Draw a planar curve (i created a spiral curve) 2. Draw one instance (i created a sphere) 3. Create a sketch on the same plane, click "Project 3D elements" icon to project the curve onto the sketch, click "Equidistant points" to create points, and finally convert the curve into "Construction element", exit sketch 4. Click "User Pattern" icon, define "Object to pattern" (the sphere), then define positions (the sketch) To change the numbers of instances, just modify the sketch -
Ira Krakow's Blender 2.5 Curve Modifier Tutorial
Ira Krakow's Blender 2.5 Curve Modifier TutorialIra Krakow's Blender 2.5 Curve Modifier Tutorial
Blender's Curve Modifier is an object mode deformation modifier that uses a curve object to influence a bend or a curve in the modified mesh object. Thank yo... -
Arc length of curve Q10c
Arc length of curve Q10cArc length of curve Q10c
Compute the arclength of a plane curve by integration.Reference to Howard Anton's Calculus text. -
Finding a parametrization for a curve
Finding a parametrization for a curveFinding a parametrization for a curve
Linear parametrizations, trigonometric parametrizTions.
Parametric Curves - Basic Graphing
- Duration: 8:46
- Updated: 05 Sep 2014
IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,5] I ACTUALLY USE [0,4]. SORRY FOR ANY CONFUSION!!** Parametric ...
http://wn.com/Parametric_Curves_-_Basic_Graphing
IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,5] I ACTUALLY USE [0,4]. SORRY FOR ANY CONFUSION!!** Parametric ...
- published: 01 Jun 2008
- views: 166647
- author: patrickJMT
Curvature of a Plane Curve
- Duration: 14:58
- Updated: 08 Mar 2014
http://wn.com/Curvature_of_a_Plane_Curve
- published: 08 Mar 2014
- views: 120
Parametrization of a plane curve
- Duration: 44:13
- Updated: 28 Feb 2013
اسم المساق: تفاضل وتكامل (ب) calculus -- B اسم المحاضر: د. إسماعيل محيي الدين الأسطل الجامعة الإسلامية- غزة الكلية: العلوم القسم: الرياضيات وصف المساق: يشمل ...
http://wn.com/Parametrization_of_a_plane_curve
اسم المساق: تفاضل وتكامل (ب) calculus -- B اسم المحاضر: د. إسماعيل محيي الدين الأسطل الجامعة الإسلامية- غزة الكلية: العلوم القسم: الرياضيات وصف المساق: يشمل ...
- published: 20 Oct 2012
- views: 882
- author: iugaza1
Plane Curve by TPS stainless Steel Channel Letter Bending Machine
- Duration: 3:55
- Updated: 09 Jun 2014
TPS Channel Letter Bending Machine (Sign Bending Machine, CNC automatic bender) TaiPuSheng Technology Co., Ltd (HangZhou City, China) provides equipment (Cha...
http://wn.com/Plane_Curve_by_TPS_stainless_Steel_Channel_Letter_Bending_Machine
TPS Channel Letter Bending Machine (Sign Bending Machine, CNC automatic bender) TaiPuSheng Technology Co., Ltd (HangZhou City, China) provides equipment (Cha...
- published: 28 Jul 2012
- views: 6671
- author: HE WenXin
Calculus 1 Lecture 5.4: Length of a Curve on a Plane
- Duration: 137:58
- Updated: 04 Sep 2014
Calculus 1 Lecture 5.4: Length of a Curve on a Plane.
http://wn.com/Calculus_1_Lecture_5.4_Length_of_a_Curve_on_a_Plane
Calculus 1 Lecture 5.4: Length of a Curve on a Plane.
- published: 24 Jan 2014
- views: 1132
- author: Professor Leonard
Curvature for a Plane Curve Given the Cartesian Equation
- Duration: 19:07
- Updated: 08 Mar 2014
http://wn.com/Curvature_for_a_Plane_Curve_Given_the_Cartesian_Equation
- published: 08 Mar 2014
- views: 122
Proof that the Orbit is a Plane Curve
- Duration: 9:39
- Updated: 10 Mar 2014
http://wn.com/Proof_that_the_Orbit_is_a_Plane_Curve
- published: 10 Mar 2014
- views: 74
Curve Shortening makes a plane curve convex
- Duration: 0:31
- Updated: 05 May 2014
Matt Grayson proved in1987 that Curve Shortening will make any plane curve convex. Michael Gage and Richard Hamilton showed that after that it becomes more a...
http://wn.com/Curve_Shortening_makes_a_plane_curve_convex
Matt Grayson proved in1987 that Curve Shortening will make any plane curve convex. Michael Gage and Richard Hamilton showed that after that it becomes more a...
- published: 03 Mar 2011
- views: 3025
- author: Sigurd Angenent
area for plane curve ( using single integration)
- Duration: 11:09
- Updated: 29 Jul 2013
find area for plane curve.Either given equation of curve in cartetion ,polar, parametric any form. if you like this video and want to see more then subscribe...
http://wn.com/area_for_plane_curve_(_using_single_integration)
find area for plane curve.Either given equation of curve in cartetion ,polar, parametric any form. if you like this video and want to see more then subscribe...
- published: 24 Feb 2012
- views: 400
- author: M1M2M3NOTES
Where does the curve intersect the plane?
- Duration: 3:21
- Updated: 13 Feb 2014
Finding the point where a curve intersects a plane.
http://wn.com/Where_does_the_curve_intersect_the_plane?
Finding the point where a curve intersects a plane.
- published: 13 Feb 2014
- views: 15
Curvature for a Plane Curve Given the Parametric Equations
- Duration: 9:38
- Updated: 08 Mar 2014
http://wn.com/Curvature_for_a_Plane_Curve_Given_the_Parametric_Equations
Length of a Curve
- Duration: 6:42
- Updated: 18 Aug 2013
Using integration to find the length of a curve.
http://wn.com/Length_of_a_Curve
Using integration to find the length of a curve.
- published: 26 Feb 2010
- views: 27226
- author: theschoolofchuck
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
- Duration: 67:18
- Updated: 17 Jun 2014
Plane Curve Singularities and the Absolute Galois Group of Q.
http://wn.com/Aaron_Silberstein_-_Plane_Curve_Singularities_and_the_Absolute_Galois_Group_of_Q
Plane Curve Singularities and the Absolute Galois Group of Q.
- published: 01 Feb 2012
- views: 1054
- author: Worldwide Center of Mathematics
Parametric Equations - Some basic questions
- Duration: 4:12
- Updated: 27 Jul 2013
Parametric Equations - Some basic questions. In this video, we look at some basic questions related to parametric equations: what point in the plane correspo...
http://wn.com/Parametric_Equations_-_Some_basic_questions
Parametric Equations - Some basic questions. In this video, we look at some basic questions related to parametric equations: what point in the plane correspo...
- published: 10 Jul 2011
- views: 13788
- author: patrickJMT
Parametrizing Curve
- Duration: 6:34
- Updated: 26 Jun 2013
We upload EVERY OTHER one of our lecture videos to YouTube. Visit http://fireflylectures.com to access all of our high definition lecture videos. Facebook Pa...
http://wn.com/Parametrizing_Curve
We upload EVERY OTHER one of our lecture videos to YouTube. Visit http://fireflylectures.com to access all of our high definition lecture videos. Facebook Pa...
- published: 28 Apr 2013
- views: 43
- author: fireflylectures
MA Plane Curve from Graphs of Component Graphs
- Duration: 3:36
- Updated: 27 May 2013
Given the graphs that determine x and y for a plane curve, this shows how they combine to create the plane curve.
http://wn.com/MA_Plane_Curve_from_Graphs_of_Component_Graphs
Given the graphs that determine x and y for a plane curve, this shows how they combine to create the plane curve.
- published: 09 Feb 2012
- views: 70
- author: turksvids
Initial Condition and Direction of a Parametric Point on a Plane Curve.wmv
- Duration: 6:53
- Updated: 02 Apr 2012
Initial Condition and Direction of a Parametric Point on a Plane Curve By: Michelle Li.
http://wn.com/Initial_Condition_and_Direction_of_a_Parametric_Point_on_a_Plane_Curve.wmv
Initial Condition and Direction of a Parametric Point on a Plane Curve By: Michelle Li.
- published: 02 Apr 2012
- views: 24
- author: Ashley Louie
Sketching a Parametrized Curve
- Duration: 2:39
- Updated: 01 Sep 2014
Multivariable Calculus: Sketch the curve for the vector-valued function r(t) = (cos(t), sin(t), -cos(t)-sin(t) +1). We describe the trace of the curve as the...
http://wn.com/Sketching_a_Parametrized_Curve
Multivariable Calculus: Sketch the curve for the vector-valued function r(t) = (cos(t), sin(t), -cos(t)-sin(t) +1). We describe the trace of the curve as the...
- published: 07 Feb 2011
- views: 5664
- author: MathDoctorBob
lengh of a plane curve
- Duration: 3:55
- Updated: 25 May 2010
integral calculus.
http://wn.com/lengh_of_a_plane_curve
Modeling Hint #22 of 100 - Pattern on Planar Curve
- Duration: 0:29
- Updated: 30 Oct 2011
Dickson Sham old 100 modeling hints
#22
1. Draw a planar curve (i created a spiral curve)
2. Draw one instance (i created a sphere)
3. Create a sketch on the same plane, click "Project 3D elements" icon to project the curve onto the sketch,
click "Equidistant points" to create points, and finally convert the curve into "Construction element", exit sketch
4. Click "User Pattern" icon, define "Object to pattern" (the sphere), then define positions (the sketch)
To change the numbers of instances, just modify the sketch
http://wn.com/Modeling_Hint_22_of_100_-_Pattern_on_Planar_Curve
Dickson Sham old 100 modeling hints
#22
1. Draw a planar curve (i created a spiral curve)
2. Draw one instance (i created a sphere)
3. Create a sketch on the same plane, click "Project 3D elements" icon to project the curve onto the sketch,
click "Equidistant points" to create points, and finally convert the curve into "Construction element", exit sketch
4. Click "User Pattern" icon, define "Object to pattern" (the sphere), then define positions (the sketch)
To change the numbers of instances, just modify the sketch
- published: 30 Oct 2011
- views: 1926
Ira Krakow's Blender 2.5 Curve Modifier Tutorial
- Duration: 7:38
- Updated: 13 Aug 2014
Blender's Curve Modifier is an object mode deformation modifier that uses a curve object to influence a bend or a curve in the modified mesh object. Thank yo...
http://wn.com/Ira_Krakow's_Blender_2.5_Curve_Modifier_Tutorial
Blender's Curve Modifier is an object mode deformation modifier that uses a curve object to influence a bend or a curve in the modified mesh object. Thank yo...
- published: 17 Jul 2010
- views: 29604
- author: Ira Krakow
Arc length of curve Q10c
- Duration: 7:03
- Updated: 07 Jan 2013
Compute the arclength of a plane curve by integration.Reference to Howard Anton's Calculus text.
http://wn.com/Arc_length_of_curve_Q10c
Compute the arclength of a plane curve by integration.Reference to Howard Anton's Calculus text.
- published: 05 Jun 2011
- views: 293
- author: Wei Ching Quek
Finding a parametrization for a curve
- Duration: 18:03
- Updated: 06 Aug 2013
Linear parametrizations, trigonometric parametrizTions.
http://wn.com/Finding_a_parametrization_for_a_curve
Linear parametrizations, trigonometric parametrizTions.
- published: 08 Jan 2013
- views: 1765
- author: Stradermath
- Playlist
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8:46
Parametric Curves - Basic Graphing
IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,...
published: 01 Jun 2008
author: patrickJMT
Parametric Curves - Basic Graphing
Parametric Curves - Basic Graphing
IN MY FIRST EXAMPLE, THERE IS A 'SMALL' MISTAKE. INSTEAD OF GRAPHING t ON THE INTERVAL [0,5] I ACTUALLY USE [0,4]. SORRY FOR ANY CONFUSION!!** Parametric ...- published: 01 Jun 2008
- views: 166647
- author: patrickJMT
44:13
Parametrization of a plane curve
اسم المساق: تفاضل وتكامل (ب) calculus -- B اسم المحاضر: د. إسماعيل محيي الدين الأسطل الجام...
published: 20 Oct 2012
author: iugaza1
Parametrization of a plane curve
Parametrization of a plane curve
اسم المساق: تفاضل وتكامل (ب) calculus -- B اسم المحاضر: د. إسماعيل محيي الدين الأسطل الجامعة الإسلامية- غزة الكلية: العلوم القسم: الرياضيات وصف المساق: يشمل ...- published: 20 Oct 2012
- views: 882
- author: iugaza1
3:55
Plane Curve by TPS stainless Steel Channel Letter Bending Machine
TPS Channel Letter Bending Machine (Sign Bending Machine, CNC automatic bender) TaiPuSheng...
published: 28 Jul 2012
author: HE WenXin
Plane Curve by TPS stainless Steel Channel Letter Bending Machine
Plane Curve by TPS stainless Steel Channel Letter Bending Machine
TPS Channel Letter Bending Machine (Sign Bending Machine, CNC automatic bender) TaiPuSheng Technology Co., Ltd (HangZhou City, China) provides equipment (Cha...- published: 28 Jul 2012
- views: 6671
- author: HE WenXin
137:58
Calculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a Plane....
published: 24 Jan 2014
author: Professor Leonard
Calculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Length of a Curve on a Plane.- published: 24 Jan 2014
- views: 1132
- author: Professor Leonard
0:31
Curve Shortening makes a plane curve convex
Matt Grayson proved in1987 that Curve Shortening will make any plane curve convex. Michael...
published: 03 Mar 2011
author: Sigurd Angenent
Curve Shortening makes a plane curve convex
Curve Shortening makes a plane curve convex
Matt Grayson proved in1987 that Curve Shortening will make any plane curve convex. Michael Gage and Richard Hamilton showed that after that it becomes more a...- published: 03 Mar 2011
- views: 3025
- author: Sigurd Angenent
11:09
area for plane curve ( using single integration)
find area for plane curve.Either given equation of curve in cartetion ,polar, parametric a...
published: 24 Feb 2012
author: M1M2M3NOTES
area for plane curve ( using single integration)
area for plane curve ( using single integration)
find area for plane curve.Either given equation of curve in cartetion ,polar, parametric any form. if you like this video and want to see more then subscribe...- published: 24 Feb 2012
- views: 400
- author: M1M2M3NOTES
9:38
Curvature for a Plane Curve Given the Parametric Equations
...
published: 08 Mar 2014
author: refrigeratormathprof
Curvature for a Plane Curve Given the Parametric Equations
Curvature for a Plane Curve Given the Parametric Equations
- published: 08 Mar 2014
- views: 232
- author: refrigeratormathprof
6:42
Length of a Curve
Using integration to find the length of a curve....
published: 26 Feb 2010
author: theschoolofchuck
Length of a Curve
Length of a Curve
Using integration to find the length of a curve.- published: 26 Feb 2010
- views: 27226
- author: theschoolofchuck
67:18
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Plane Curve Singularities and the Absolute Galois Group of Q....
published: 01 Feb 2012
author: Worldwide Center of Mathematics
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Aaron Silberstein - Plane Curve Singularities and the Absolute Galois Group of Q
Plane Curve Singularities and the Absolute Galois Group of Q.- published: 01 Feb 2012
- views: 1054
- author: Worldwide Center of Mathematics
4:12
Parametric Equations - Some basic questions
Parametric Equations - Some basic questions. In this video, we look at some basic question...
published: 10 Jul 2011
author: patrickJMT
Parametric Equations - Some basic questions
Parametric Equations - Some basic questions
Parametric Equations - Some basic questions. In this video, we look at some basic questions related to parametric equations: what point in the plane correspo...- published: 10 Jul 2011
- views: 13788
- author: patrickJMT
Youtube results:
6:34
Parametrizing Curve
We upload EVERY OTHER one of our lecture videos to YouTube. Visit http://fireflylectures.c...
published: 28 Apr 2013
author: fireflylectures
Parametrizing Curve
Parametrizing Curve
We upload EVERY OTHER one of our lecture videos to YouTube. Visit http://fireflylectures.com to access all of our high definition lecture videos. Facebook Pa...- published: 28 Apr 2013
- views: 43
- author: fireflylectures
3:36
MA Plane Curve from Graphs of Component Graphs
Given the graphs that determine x and y for a plane curve, this shows how they combine to ...
published: 09 Feb 2012
author: turksvids
MA Plane Curve from Graphs of Component Graphs
MA Plane Curve from Graphs of Component Graphs
Given the graphs that determine x and y for a plane curve, this shows how they combine to create the plane curve.- published: 09 Feb 2012
- views: 70
- author: turksvids
6:53
Initial Condition and Direction of a Parametric Point on a Plane Curve.wmv
Initial Condition and Direction of a Parametric Point on a Plane Curve By: Michelle Li....
published: 02 Apr 2012
author: Ashley Louie
Initial Condition and Direction of a Parametric Point on a Plane Curve.wmv
Initial Condition and Direction of a Parametric Point on a Plane Curve.wmv
Initial Condition and Direction of a Parametric Point on a Plane Curve By: Michelle Li.- published: 02 Apr 2012
- views: 24
- author: Ashley Louie
2:39
Sketching a Parametrized Curve
Multivariable Calculus: Sketch the curve for the vector-valued function r(t) = (cos(t), si...
published: 07 Feb 2011
author: MathDoctorBob
Sketching a Parametrized Curve
Sketching a Parametrized Curve
Multivariable Calculus: Sketch the curve for the vector-valued function r(t) = (cos(t), sin(t), -cos(t)-sin(t) +1). We describe the trace of the curve as the...- published: 07 Feb 2011
- views: 5664
- author: MathDoctorBob
In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves.
A smooth plane curve is a curve in a real Euclidean plane R2 and is a one-dimensional smooth manifold. Equivalently, a smooth plane curve can be given locally by an equation ƒ(x,y) = 0, where ƒ : R2 → R is a smooth function, and the partial derivatives ∂ƒ/∂x and ∂ƒ/∂y are never both 0. In other words, a smooth plane curve is a plane curve which "locally looks like a line" with respect to a smooth change of coordinates.
An algebraic plane curve is a curve in an affine or projective plane given by one polynomial equation ƒ(x,y) = 0 (or ƒ(x,y,z) = 0, where ƒ is a homogeneous polynomial, in the projective case.)
Algebraic curves were studied extensively in the 18th to 20th centuries, leading to a very rich and deep theory. Some founders of the theory are considered to be Isaac Newton and Bernhard Riemann, with main contributors being Niels Henrik Abel, Henri Poincaré, Max Noether, among others. Every algebraic plane curve has a degree, which can be defined, in case of an algebraically closed field, as number of intersections of the curve with a generic line. For example, the circle given by the equation x2 + y2 = 1 has degree 2.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Plane_curve
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
