Re: Calculus doesn't apply to the unchanging curve

On Jun 21, 8:00 pm, Virgil <Vir...@xxxxxxxxx> wrote:
In article <br9dSLC+YR0DzY56iipxnxmgR...@xxxxxxx>,
 "[Mr.] Lynn Kurtz" <ku...@xxxxxxxxxxxxxxx> wrote:





On Sat, 21 Jun 2008 17:04:08 -0700 (PDT), BURT <macromi...@xxxxxxxxx>
wrote:

On Jun 21, 3:58 pm, Virgil <Vir...@xxxxxxxxx> wrote:

There are changing slopes when changing tangent lines to a circle, and
while such lines have slopes, circles don't.- Hide quoted text -

- Show quoted text -

Thankyou Virgil. Well put.

Mitch Raemsch

Not! The slope of a curve at a point a is *defined* as f'(a),
presuming it exists. Circles and other curves have slopes except at
points where the tangent line is vertical.

--Lynn

In my day, curves could have derivatives at some points, but they were  
slopes of the appropriate tangent lines , not slopes of the curves
themselves.

When did that change?- Hide quoted text -

- Show quoted text -

Slope of the tangent line must be from two points. All slopes require
two points. The closer together the more accurate. Unfortunatly you
cannot get two points infinitely close without an infinitude of
calculations. Therefore the answer you get is always an approximation.

There can be no slope for a single 0 dimensionaal point because there
is no change in height to mathematically measure.

Mitch Raemsch
.

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