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Even in the pre-Euclidean period the effort to construct a square equal in area to a given circle had begun.
This proof established that the classical Greek construction problem of squaring the circle (constructing a square with an area equal to that of a given circle) by compass and straightedge is insoluble.
Showing that it is not possible to square a circle (i.e., to construct a square equal in area to a given circle by the same means), however, demanded deeper insights into the nature of the number π. See geometry: The three classical problems.
The analysis of circular motion in terms of these laws yielded a formula of the quantitative measure, in terms of a body's velocity and mass, of the centripetal force necessary to divert a body from its rectilinear path into a given circle.
We study the circle forming problem in which a group of anonymous mobile agents are required to form a formation when moving on a given circle.
Additionally, one of Aristotle's favorite examples is the problem of squaring a circle (finding a square equal to a given circle).
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You can join a giving circle or start your own, teaming up with other philanthropists for a particular project.
The national Women's Funding Network has information about collaborating on its Web site, www.womensfundingnetwork.org, and the Forum of Regional Associations of Grantmakers offers advice about starting a giving circle at www.givingforum.org.org
I'm starting a giving circle, too, with Future Now.
By forming a giving circle, children can give a meaningful gift and make a difference.
Belonging to a giving circle also means that children will take part in discussions about their chosen charities and will be active partners in group decisions, for instance regarding how much money to allocate to a given charity, and for organizing charity-related activities and workshops.
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CEO of Professional Science Editing for Scientists @ prosciediting.com