Properties
Category
English
Similar Topics
Statistics
Comments
5
Participants
4
Subscribers
0
Votes
1
Views
1395
Share
Centroid of a parabolic Segment by construction
Answered
Is there a way to locate the centroid of a parabolic segment by construction only? (without using integration and formula)
 GeoGebra
 Help
 Partners

Contact us
 Feedback & Questions
 This email address is being protected from spambots. You need JavaScript enabled to view it.
 +43 677 6137 2693
© 2021 International GeoGebra Institute
As far as I remember (I studied history of mathematics long ago!) there is a geometric result due to Archimedes.
I found this document in English that could probably help you.
Thanks mathmum, I already viewed the document, but still I have no idea on locating the centroid inspite of the information.
Hi all
Very interesting problem, solved by Archimedes 2300 years ago!!! .
@ Noel Lambert :
In your applet Apoint is not free . It must be between points B and C:
http://www.intmath.com/blog...
Archimedes and the area of a parabolic segment by Murray Bourne, 14 Dec 2008
Roman Chijner
http://tube.geogebra.org/ma...
Hi, Noel
Archimedes Algorithm is the method of geometrical construction: without using integration and formula
Lemma 1 (Archimede’s Theorem) (http://abocci.web.cern.ch/a...)
is for A, chosen on the arc but in a special way.
In
http://www.intmath.com/blog...
are examples
Nice solution! Geogebra allows to locate K point by means of vector command. Cheers
Comments have been locked on this page!