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*From*: "Dewey Dykstra, Jr." <dykstrad@varney.idbsu.edu>*Date*: Wed, 2 Oct 1996 16:44:46 -0700

....and apparantly delayed publication of his papers while he found

It seems that prior to the time of Newton all proofs were geometric.

Newton lived at a time of transition from geometric to algebraic >proofs

the 'correct' geometric proof for propositions already proventeaching? One of which is algebraic while the other uses

algebraically. Modern communication may be opening up to us new forms

of proof. We may live at a similar time of transition. If we do,

then we will be employing double proofs in the same way that Newton

did. An example is the observation of beats between two waves. These

are easily seen in a computer simulation but we still feel it

necessary to derive the algebraic expression and explain it to the

students.

My question is: Do you employ any 'double' explanations in your >physics

modern communications such as videos and computer simulations.

Michael,

You missed part of Newtons motovation for using geometry. He felt

that classical geometry was a proven system that had stood the test of time

and he wanted to append his theory on to that structure and not the new

fangled Cartesian Geometry with whose followers he had many dissagreements.

It was removing the fluxian theory (his calculus) that caused the delay. His

fluxian theory looks far more like geometry then the Leibnizian calculus we

use today.

Gary Karshner

I think that if you get and read the first part (up until Newton goes to

the Mint) of Westfall's book on Newton, Never at rest, (still I think the

most authoritative) you would not come away with either of these

descriptions.

From almost the first time I taught I can remember using multipledemonstrations. Geometric and then algebraic for example.

Dewey

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

Dewey I. Dykstra, Jr. Phone: (208)385-3105

Professor of Physics Dept: (208)385-3775

Department of Physics/SN318 Fax: (208)385-4330

Boise State University dykstrad@varney.idbsu.edu

1910 University Drive Boise Highlanders

Boise, ID 83725-1570 novice piper

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

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