ArcSpiral

57 %
43 %
Information about ArcSpiral
Entertainment

Published on October 24, 2007

Author: Rafael

Source: authorstream.com

Archimedes Spiral:  Archimedes Spiral By Michael Liu And Tim Myers What is the spiral used for?:  What is the spiral used for? The archimedes screw, a spiral screw turned inside a cylinder, was once commonly used to lift water from canals. The screw is still used to lift water in the Nile delta in Egypt. Definition:  Definition “If a straight line drawn in a plane revolves uniformly any number of times about a fixed extremity until it returns to its original position, and if, at the same time as the line revolves, a point moves uniformly along the straight line beginning at the fixed extremity, the point will describe a spiral in the plane.” Archimedes Slide4:  The curve is defined by the polar equation r = a*Θ. When the constant a = 1,the curve is drawn by tracing a point out from the center of a fixed pole. As the curve is traced out the radius of the circle and the angle of rotation both run from 0 to 2pi with one revolution of the spiral. Slide5:  The distance between the windings of the spiral remains constant. The unique property of the Archimedian Spiral is that the radius of the spiral and the rotation angle are linearly proportional. r = 1*Ө:  r = 1*Ө r = ½* Ө:  r = ½* Ө r = 2* Ө:  r = 2* Ө r = -1* Ө:  r = -1* Ө r = 1*- Ө:  r = 1*- Ө r = -1*- Ө:  r = -1*- Ө Osculating Circle:  Osculating Circle Slide15:  Archimedes had shown in his work “On Spirals” that the area of a circle with a given radius was equal to the area of a right triangle with the two shortest sides equaling the radius and the circumference of the given circle. One more thing………:  One more thing……… You rock Dave! have an awesome summer everyone!

Add a comment

Related presentations

Related pages

Arcspiral test - cnc v2 - YouTube

Arcspiral test - cnc v2 Bartosz Majkut. Subscribe Subscribed Unsubscribe 4. Loading... Loading... Working... Add to. Want to watch this again ...
Read more

mhintz/arcspiral · GitHub - GitHub · Build software ...

arcspiral - another little fiddle with C++ ... Something went wrong with that request. Please try again.
Read more

www.staples.de

Hier sollte eine Beschreibung angezeigt werden, diese Seite lässt dies jedoch nicht zu.
Read more

M by Staples ARC Notizbuch Poly A4 liniert 60 Blatt, Blau ...

Sehen Sie Informationen zum Preis, Angebote und Produktbewertungen für M by Staples ARC Notizbuch Poly A4 liniert 60 Blatt, Blau auf Staples.de. Wenn Sie ...
Read more

Refill-Papier liniert f.arc Spiralbuch weiß A5 100g 50 ...

Refill-Papier liniert f.arc Spiralbuch weiß A5 100g 50 Blatt 22018: Amazon.de: Bürobedarf & Schreibwaren
Read more

Illustrator CS4: Line, Arc, Spiral, Rectangular and Polar ...

Think architecture and sculpture – everything you make in Illustrator is an object that you can manipulate. • Line Segment Tool • Arc Tool
Read more

Refill-Papier TO DO f.arc Spiralbuch we/gr A5 100g 50 ...

Refill-Papier TO DO f.arc Spiralbuch we/gr A5 100g 50 Blatt 22019: Amazon.de: Bürobedarf & Schreibwaren
Read more

Amazon.com: White Arc Spiral: Bill Laswell: MP3 Downloads

Amazon.com: White Arc Spiral: Bill Laswell: MP3 Downloads. Amazon Try Prime Digital Music ...
Read more