SlideShare a Scribd company logo
How can I tell when it is going to be a Archimedean Spiral. What is a general formula? Only one
I know is r=theta. What else would I look for?
Solution
The Archimedean spiral has the property that any ray from the origin intersects
successive turnings of the spiral in points with a constant separation distance (equal to 2?b if ? is
measured in radians), hence the name "arithmetic spiral". In contrast to this, in a logarithmic
spiral these distances, as well as the distances of the intersection points measured from the
origin, form a geometric progression. The Archimedean spiral has two arms, one for ? > 0 and
one for ? < 0. The two arms are smoothly connected at the origin. Only one arm is shown on the
accompanying graph. Taking the mirror image of this arm across the y-axis will yield the other
arm. the term Archimedean spiral is used for the more general group of spirals r= a+
b(theta)^1/x where a,b are real numbers The normal Archimedean spiral occurs when x = 1.
Other spirals falling into this group include the hyperbolic spiral, Fermat's spiral, and the lituus.
Virtually all static spirals appearing in nature are logarithmic spirals, not Archimedean ones.
Many dynamic spirals (such as the Parker spiral of the solar wind, or the pattern made by a
Catherine's wheel) are Archimedean.

More Related Content

Similar to How can I tell when it is going to be a Archimedean Spiral. What is .pdf

Paso 4 grupo29
Paso 4 grupo29Paso 4 grupo29
Paso 4 grupo29
MARLENPARRA3
 
Analytical geometry
Analytical geometryAnalytical geometry
Analytical geometry
KalaivananRaja
 
ellipse
ellipseellipse
ellipse
kanikab1
 
Polar co
Polar coPolar co
Polar co
awais ahmad
 
COORDINATE GEOMETRY II
COORDINATE GEOMETRY IICOORDINATE GEOMETRY II
COORDINATE GEOMETRY II
shahzadebaujiti
 
Circles - An Introduction
Circles - An IntroductionCircles - An Introduction
Circles - An Introduction
Bhavesh Singh
 
Parabola
ParabolaParabola
Parabola
heiner gomez
 
parabola.pdf parabola القطع المكافئ math
parabola.pdf parabola القطع المكافئ mathparabola.pdf parabola القطع المكافئ math
parabola.pdf parabola القطع المكافئ math
Dr. Karrar Alwash
 
B.Tech-II_Unit-I
B.Tech-II_Unit-IB.Tech-II_Unit-I
B.Tech-II_Unit-I
Kundan Kumar
 
Question 1
Question 1Question 1
Question 1
inner4zn
 
Analisis unidad 3
Analisis unidad 3Analisis unidad 3
Analisis unidad 3
ALGEBRAGEOMETRIA
 
Graph of Quadratic Function.pptx
Graph of Quadratic Function.pptxGraph of Quadratic Function.pptx
Graph of Quadratic Function.pptx
IraCrestinaSilaban2
 
Ondas Gravitacionales (en ingles)
Ondas Gravitacionales (en ingles)Ondas Gravitacionales (en ingles)
Ondas Gravitacionales (en ingles)
Bishop's University, Canada
 
Actividad colaborativa 551108 20
Actividad colaborativa 551108 20Actividad colaborativa 551108 20
Actividad colaborativa 551108 20
CarmenElisaRiosDiaz
 
The Unit Circle
The Unit CircleThe Unit Circle
The Unit Circle
LiAb96
 
Math's assignment ON circles
Math's assignment ON circlesMath's assignment ON circles
Math's assignment ON circles
Sanjith Varun Rajendran
 
Curve sketching
Curve sketchingCurve sketching
Curve sketching
Vishal Bajaj
 
International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)
ijceronline
 
Hyperbola
HyperbolaHyperbola
Hyperbola
Hae Morgia
 
TRACING OF CURVE (CARTESIAN AND POLAR)
TRACING OF CURVE (CARTESIAN AND POLAR)TRACING OF CURVE (CARTESIAN AND POLAR)
TRACING OF CURVE (CARTESIAN AND POLAR)
Smit Shah
 

Similar to How can I tell when it is going to be a Archimedean Spiral. What is .pdf (20)

Paso 4 grupo29
Paso 4 grupo29Paso 4 grupo29
Paso 4 grupo29
 
Analytical geometry
Analytical geometryAnalytical geometry
Analytical geometry
 
ellipse
ellipseellipse
ellipse
 
Polar co
Polar coPolar co
Polar co
 
COORDINATE GEOMETRY II
COORDINATE GEOMETRY IICOORDINATE GEOMETRY II
COORDINATE GEOMETRY II
 
Circles - An Introduction
Circles - An IntroductionCircles - An Introduction
Circles - An Introduction
 
Parabola
ParabolaParabola
Parabola
 
parabola.pdf parabola القطع المكافئ math
parabola.pdf parabola القطع المكافئ mathparabola.pdf parabola القطع المكافئ math
parabola.pdf parabola القطع المكافئ math
 
B.Tech-II_Unit-I
B.Tech-II_Unit-IB.Tech-II_Unit-I
B.Tech-II_Unit-I
 
Question 1
Question 1Question 1
Question 1
 
Analisis unidad 3
Analisis unidad 3Analisis unidad 3
Analisis unidad 3
 
Graph of Quadratic Function.pptx
Graph of Quadratic Function.pptxGraph of Quadratic Function.pptx
Graph of Quadratic Function.pptx
 
Ondas Gravitacionales (en ingles)
Ondas Gravitacionales (en ingles)Ondas Gravitacionales (en ingles)
Ondas Gravitacionales (en ingles)
 
Actividad colaborativa 551108 20
Actividad colaborativa 551108 20Actividad colaborativa 551108 20
Actividad colaborativa 551108 20
 
The Unit Circle
The Unit CircleThe Unit Circle
The Unit Circle
 
Math's assignment ON circles
Math's assignment ON circlesMath's assignment ON circles
Math's assignment ON circles
 
Curve sketching
Curve sketchingCurve sketching
Curve sketching
 
International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)International Journal of Computational Engineering Research(IJCER)
International Journal of Computational Engineering Research(IJCER)
 
Hyperbola
HyperbolaHyperbola
Hyperbola
 
TRACING OF CURVE (CARTESIAN AND POLAR)
TRACING OF CURVE (CARTESIAN AND POLAR)TRACING OF CURVE (CARTESIAN AND POLAR)
TRACING OF CURVE (CARTESIAN AND POLAR)
 

More from formicreation

Many people believe that, because the emergence of life was very impr.pdf
Many people believe that, because the emergence of life was very impr.pdfMany people believe that, because the emergence of life was very impr.pdf
Many people believe that, because the emergence of life was very impr.pdf
formicreation
 
Know the different types of viruses which have a dsRNA genome A type .pdf
Know the different types of viruses which have a dsRNA genome A type .pdfKnow the different types of viruses which have a dsRNA genome A type .pdf
Know the different types of viruses which have a dsRNA genome A type .pdf
formicreation
 
Issued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdf
Issued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdfIssued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdf
Issued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdf
formicreation
 
IPv4 provided the primary addressing scheme in TCPIP. However after.pdf
IPv4 provided the primary addressing scheme in TCPIP. However after.pdfIPv4 provided the primary addressing scheme in TCPIP. However after.pdf
IPv4 provided the primary addressing scheme in TCPIP. However after.pdf
formicreation
 
Implement the member function void insertAfterHead(int d) of the Lin.pdf
Implement the member function void insertAfterHead(int d) of the Lin.pdfImplement the member function void insertAfterHead(int d) of the Lin.pdf
Implement the member function void insertAfterHead(int d) of the Lin.pdf
formicreation
 
I am trying to create a program that will create Objects of differen.pdf
I am trying to create a program that will create Objects of differen.pdfI am trying to create a program that will create Objects of differen.pdf
I am trying to create a program that will create Objects of differen.pdf
formicreation
 
How does Ansoffs matrix impact organizations missionsSoluti.pdf
How does Ansoffs matrix impact organizations missionsSoluti.pdfHow does Ansoffs matrix impact organizations missionsSoluti.pdf
How does Ansoffs matrix impact organizations missionsSoluti.pdf
formicreation
 
How is a chorioallantoic placenta different from a choriovitelline.pdf
How is a chorioallantoic placenta different from a choriovitelline.pdfHow is a chorioallantoic placenta different from a choriovitelline.pdf
How is a chorioallantoic placenta different from a choriovitelline.pdf
formicreation
 
flow chart or step by step process of the key steps in forming a uni.pdf
flow chart or step by step process of the key steps in forming a uni.pdfflow chart or step by step process of the key steps in forming a uni.pdf
flow chart or step by step process of the key steps in forming a uni.pdf
formicreation
 
Description For this part of the assignment, you will create a Grid .pdf
Description For this part of the assignment, you will create a Grid .pdfDescription For this part of the assignment, you will create a Grid .pdf
Description For this part of the assignment, you will create a Grid .pdf
formicreation
 
Discuss one (1) traditional and two (2) new strategies that special i.pdf
Discuss one (1) traditional and two (2) new strategies that special i.pdfDiscuss one (1) traditional and two (2) new strategies that special i.pdf
Discuss one (1) traditional and two (2) new strategies that special i.pdf
formicreation
 
Define health systems and healthcare delivery systems and discuss th.pdf
Define health systems and healthcare delivery systems and discuss th.pdfDefine health systems and healthcare delivery systems and discuss th.pdf
Define health systems and healthcare delivery systems and discuss th.pdf
formicreation
 
B. You do an experiment in which you divide 8 cell stage urch.pdf
B. You do an experiment in which you divide 8 cell stage urch.pdfB. You do an experiment in which you divide 8 cell stage urch.pdf
B. You do an experiment in which you divide 8 cell stage urch.pdf
formicreation
 
a. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdf
a. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdfa. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdf
a. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdf
formicreation
 
An electron is moving in a circular motion clockwise. A uniform magne.pdf
An electron is moving in a circular motion clockwise. A uniform magne.pdfAn electron is moving in a circular motion clockwise. A uniform magne.pdf
An electron is moving in a circular motion clockwise. A uniform magne.pdf
formicreation
 
After reading Thomas Malthus population theory and the ideas of Ju.pdf
After reading Thomas Malthus population theory and the ideas of Ju.pdfAfter reading Thomas Malthus population theory and the ideas of Ju.pdf
After reading Thomas Malthus population theory and the ideas of Ju.pdf
formicreation
 
Any ideas on an IT topic I could use for this case studyFor this .pdf
Any ideas on an IT topic I could use for this case studyFor this .pdfAny ideas on an IT topic I could use for this case studyFor this .pdf
Any ideas on an IT topic I could use for this case studyFor this .pdf
formicreation
 
Assignment is Page 349-350 #4 and #5 Use the Linked Lis.pdf
Assignment is Page 349-350 #4 and #5 Use the Linked Lis.pdfAssignment is Page 349-350 #4 and #5 Use the Linked Lis.pdf
Assignment is Page 349-350 #4 and #5 Use the Linked Lis.pdf
formicreation
 
C++ Write a function that takes a number as a parameter and display.pdf
C++ Write a function that takes a number as a parameter and display.pdfC++ Write a function that takes a number as a parameter and display.pdf
C++ Write a function that takes a number as a parameter and display.pdf
formicreation
 
Why is it important for marketers to understand the product life cyc.pdf
Why is it important for marketers to understand the product life cyc.pdfWhy is it important for marketers to understand the product life cyc.pdf
Why is it important for marketers to understand the product life cyc.pdf
formicreation
 

More from formicreation (20)

Many people believe that, because the emergence of life was very impr.pdf
Many people believe that, because the emergence of life was very impr.pdfMany people believe that, because the emergence of life was very impr.pdf
Many people believe that, because the emergence of life was very impr.pdf
 
Know the different types of viruses which have a dsRNA genome A type .pdf
Know the different types of viruses which have a dsRNA genome A type .pdfKnow the different types of viruses which have a dsRNA genome A type .pdf
Know the different types of viruses which have a dsRNA genome A type .pdf
 
Issued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdf
Issued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdfIssued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdf
Issued a $4000 Note Receivable for 3 months 10 interest. Calculate .pdf
 
IPv4 provided the primary addressing scheme in TCPIP. However after.pdf
IPv4 provided the primary addressing scheme in TCPIP. However after.pdfIPv4 provided the primary addressing scheme in TCPIP. However after.pdf
IPv4 provided the primary addressing scheme in TCPIP. However after.pdf
 
Implement the member function void insertAfterHead(int d) of the Lin.pdf
Implement the member function void insertAfterHead(int d) of the Lin.pdfImplement the member function void insertAfterHead(int d) of the Lin.pdf
Implement the member function void insertAfterHead(int d) of the Lin.pdf
 
I am trying to create a program that will create Objects of differen.pdf
I am trying to create a program that will create Objects of differen.pdfI am trying to create a program that will create Objects of differen.pdf
I am trying to create a program that will create Objects of differen.pdf
 
How does Ansoffs matrix impact organizations missionsSoluti.pdf
How does Ansoffs matrix impact organizations missionsSoluti.pdfHow does Ansoffs matrix impact organizations missionsSoluti.pdf
How does Ansoffs matrix impact organizations missionsSoluti.pdf
 
How is a chorioallantoic placenta different from a choriovitelline.pdf
How is a chorioallantoic placenta different from a choriovitelline.pdfHow is a chorioallantoic placenta different from a choriovitelline.pdf
How is a chorioallantoic placenta different from a choriovitelline.pdf
 
flow chart or step by step process of the key steps in forming a uni.pdf
flow chart or step by step process of the key steps in forming a uni.pdfflow chart or step by step process of the key steps in forming a uni.pdf
flow chart or step by step process of the key steps in forming a uni.pdf
 
Description For this part of the assignment, you will create a Grid .pdf
Description For this part of the assignment, you will create a Grid .pdfDescription For this part of the assignment, you will create a Grid .pdf
Description For this part of the assignment, you will create a Grid .pdf
 
Discuss one (1) traditional and two (2) new strategies that special i.pdf
Discuss one (1) traditional and two (2) new strategies that special i.pdfDiscuss one (1) traditional and two (2) new strategies that special i.pdf
Discuss one (1) traditional and two (2) new strategies that special i.pdf
 
Define health systems and healthcare delivery systems and discuss th.pdf
Define health systems and healthcare delivery systems and discuss th.pdfDefine health systems and healthcare delivery systems and discuss th.pdf
Define health systems and healthcare delivery systems and discuss th.pdf
 
B. You do an experiment in which you divide 8 cell stage urch.pdf
B. You do an experiment in which you divide 8 cell stage urch.pdfB. You do an experiment in which you divide 8 cell stage urch.pdf
B. You do an experiment in which you divide 8 cell stage urch.pdf
 
a. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdf
a. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdfa. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdf
a. project aid. b. emergency aid. c. development aid. d. bilateral ai.pdf
 
An electron is moving in a circular motion clockwise. A uniform magne.pdf
An electron is moving in a circular motion clockwise. A uniform magne.pdfAn electron is moving in a circular motion clockwise. A uniform magne.pdf
An electron is moving in a circular motion clockwise. A uniform magne.pdf
 
After reading Thomas Malthus population theory and the ideas of Ju.pdf
After reading Thomas Malthus population theory and the ideas of Ju.pdfAfter reading Thomas Malthus population theory and the ideas of Ju.pdf
After reading Thomas Malthus population theory and the ideas of Ju.pdf
 
Any ideas on an IT topic I could use for this case studyFor this .pdf
Any ideas on an IT topic I could use for this case studyFor this .pdfAny ideas on an IT topic I could use for this case studyFor this .pdf
Any ideas on an IT topic I could use for this case studyFor this .pdf
 
Assignment is Page 349-350 #4 and #5 Use the Linked Lis.pdf
Assignment is Page 349-350 #4 and #5 Use the Linked Lis.pdfAssignment is Page 349-350 #4 and #5 Use the Linked Lis.pdf
Assignment is Page 349-350 #4 and #5 Use the Linked Lis.pdf
 
C++ Write a function that takes a number as a parameter and display.pdf
C++ Write a function that takes a number as a parameter and display.pdfC++ Write a function that takes a number as a parameter and display.pdf
C++ Write a function that takes a number as a parameter and display.pdf
 
Why is it important for marketers to understand the product life cyc.pdf
Why is it important for marketers to understand the product life cyc.pdfWhy is it important for marketers to understand the product life cyc.pdf
Why is it important for marketers to understand the product life cyc.pdf
 

Recently uploaded

MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
Celine George
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
Israel Genealogy Research Association
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
taiba qazi
 
Smart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICTSmart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICT
simonomuemu
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
TechSoup
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
Katrina Pritchard
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
National Information Standards Organization (NISO)
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Academy of Science of South Africa
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
amberjdewit93
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
Priyankaranawat4
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Nguyen Thanh Tu Collection
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Celine George
 
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
sayalidalavi006
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Fajar Baskoro
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
Dr. Shivangi Singh Parihar
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
ak6969907
 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
Celine George
 

Recently uploaded (20)

MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 
How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17How to Fix the Import Error in the Odoo 17
How to Fix the Import Error in the Odoo 17
 
The Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collectionThe Diamonds of 2023-2024 in the IGRA collection
The Diamonds of 2023-2024 in the IGRA collection
 
DRUGS AND ITS classification slide share
DRUGS AND ITS classification slide shareDRUGS AND ITS classification slide share
DRUGS AND ITS classification slide share
 
Smart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICTSmart-Money for SMC traders good time and ICT
Smart-Money for SMC traders good time and ICT
 
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdfWalmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
 
BBR 2024 Summer Sessions Interview Training
BBR  2024 Summer Sessions Interview TrainingBBR  2024 Summer Sessions Interview Training
BBR 2024 Summer Sessions Interview Training
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
 
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
 
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental DesignDigital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
 
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdfANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
 
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRMHow to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
 
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
 
World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024World environment day ppt For 5 June 2024
World environment day ppt For 5 June 2024
 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
 

How can I tell when it is going to be a Archimedean Spiral. What is .pdf

  • 1. How can I tell when it is going to be a Archimedean Spiral. What is a general formula? Only one I know is r=theta. What else would I look for? Solution The Archimedean spiral has the property that any ray from the origin intersects successive turnings of the spiral in points with a constant separation distance (equal to 2?b if ? is measured in radians), hence the name "arithmetic spiral". In contrast to this, in a logarithmic spiral these distances, as well as the distances of the intersection points measured from the origin, form a geometric progression. The Archimedean spiral has two arms, one for ? > 0 and one for ? < 0. The two arms are smoothly connected at the origin. Only one arm is shown on the accompanying graph. Taking the mirror image of this arm across the y-axis will yield the other arm. the term Archimedean spiral is used for the more general group of spirals r= a+ b(theta)^1/x where a,b are real numbers The normal Archimedean spiral occurs when x = 1. Other spirals falling into this group include the hyperbolic spiral, Fermat's spiral, and the lituus. Virtually all static spirals appearing in nature are logarithmic spirals, not Archimedean ones. Many dynamic spirals (such as the Parker spiral of the solar wind, or the pattern made by a Catherine's wheel) are Archimedean.