On May 2, 2:33*pm, Martin Hogbin wrote:
wrote:
In order to derive a tangent line on a changing curve you must do
calculus. You must pick two points to get the the tangent line and get
the same slope. Calculus is just an estimation. You cannot become
infinitely accurate because you cannot make infinite calculations. You
could make a million!

The tangent line is an infinitely small cord.

wrote:
In order to derive a tangent line on a changing curve you must do
calculus. You must pick two points to get the the tangent line and get
the same slope. Calculus is just an estimation. You cannot become
infinitely accurate because you cannot make infinite calculations. You
could make a million!

What is the opposite of a polymath? How is it possible
for one person to know so little about so many things?

Martin Hogbin

On May 2, 5:16*pm, wrote:
On May 2, 2:33*pm, Martin Hogbin wrote:

wrote:
In order to derive a tangent line on a changing curve you must do
calculus. You must pick two points to get the the tangent line and get
the same slope. Calculus is just an estimation. You cannot become
infinitely accurate because you cannot make infinite calculations. You
could make a million!

The tangent line is an infinitely small cord.

Since a line is infinitely long, how can it be infinitely small?

Also, do you mean chord, or are you talking about a line made of
twisted fibers or threads, a unit of amount of wood cut for burning, a
light insulated conductor for household use, a cut pile fabric with
vertical ribs, or something else?

Dave

On May 2, 2:55*pm, Dave wrote:
On May 2, 5:16*pm, wrote:

On May 2, 2:33*pm, Martin Hogbin wrote:

wrote:
In order to derive a tangent line on a changing curve you must do
calculus. You must pick two points to get the the tangent line and get
the same slope. Calculus is just an estimation. You cannot become
infinitely accurate because you cannot make infinite calculations. You
could make a million!

The tangent line is an infinitely small cord.

Since a line is infinitely long, how can it be infinitely small?

That is the Continuum Hypothesis: there is infinite amount of the
infinitely small.




Also, do you mean chord, or are you talking about a line made of
twisted fibers or threads, a unit of amount of wood cut for burning, a
light insulated conductor for household use, a cut pile fabric with
vertical ribs, or something else?

Dave

wrote:


[...]

The tangent line is really an infinitely small cord.




Mitch:

You are, indeed, in denial.

You still spell chord incorrectly.

You believe in the religious notion of Plato's infinity, which is a
false notion.

You are a religio-surrealist.




Ralph Hertle

wrote:

[...]

The tangent line is an infinitely small cord.






Mitch:

The term "infinitely" is superfluous.

What if the tangent line were smaller than the chord? It would be of
insufficient length to be a chord.

What if the chord was a straight line of zero length? It would be a
point, and not a line.

What if the radius of the circle was zero length? There would be no
chord and no tangent line. You failed to define your terms.


If its characteristic of being a straight line was retained, your
definition loses the two points on the circle that would limit the
direction of placement. Without a direction specification, e.g., being
parallel to the existing tangent line, there would be no tangent when
the line was shortened and the endpoints made congruent. The existing
tangent line would make the demonstration superfluous.


You don't know geometry, and your spatial logic is totally contextless.


Ralph Hertle

..

Mitch:

wrote:


[...]
For all curves except defined binomials. Real world curves can only be
estimations.

Mitch Raemsch




Why don't you say that in real Platonese instead of cloaking your ideas
in Platonic mathematical terms?

Real world curves, according to Plato, are only unknowable, or
approximately knowable, ideals that exist in the world of Forms. Forms
is, of course the meaning given by Plato, that is, that Forms are ideas
that somehow exist in another intellectual/semi-physical realm of ideals.

The Aristotelean meaning of Forms is the operational or functioning
principle that is one of the causes for results, given the other causes
he discusses.

Forms to Plato means metaphysical approximations or imitations.

Forms to Aristotle means the successful functioning of a principle that
is the cause of a result.

In science you must be specific, lest you create double-pan balance
shaped constellations in outer space.

What's it going to be: factual and rational certainty - or -
metaphysical and intellectual approximations?


Ralph Hertle