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#51 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-28 08:33:45
You make up your own definitions, tangents do not have direction, points are small circles, you make up your own notation, your own definitions , your own words.
And what to do if the mathematics can't precisely define expression:
It is necessary to think out that this distance between the next points.
#52 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-28 08:27:15
Geometrical objects exist in isomerous space and graphic in the anisomeric.
No one ever heard of isomerous space and anisomeric is a term used in chemistry. Your use of jargon is just awful.
I am not guilty in that that the mathematics didn't think up other term.
She thought up as the area of a circle
to represent in the form of a piece
and the term which displayed the curvatures connected with it didn't think up. Let's think out!:D
#53 Re: This is Cool » New mathematic on english » 2012-12-28 08:14:47
But I don't understand your reasoning. That is why I ask questions.
Bob
What in post 236 you don't understand?
#54 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-28 08:10:31
tangent line has no direction!
????
Here is a horizontal line. It has the direction left to right.
Bob
You as well as Calculus try to mix graphic objects and geometrical objects. Geometrical objects exist in isomerous space and graphic in the anisomeric.
I will show you distinction between graphics and geometry schematically on the example of cone and cylinder volumes as radius functions. If you don't comprehend sense then I in detail everything I will explain. You look:
#55 Re: This is Cool » New mathematic on english » 2012-12-28 07:20:47
You are in vain so aggressive. To show that such the green line on graphics I have to show you its analog in geometry. I want to make it but gradually that we understood each other. If you refuse to watch my reasonings I won't be able to answer your question.
#56 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-28 07:15:29
Good morning 21122012,
You ignore my confusion completely and expect me to understand you. I DON'T. Please explain:
tangent line has no direction!
Bob
Good night bob bundy.
The main lesson was post 27. You ignore this lession. What in it it isn't clear to you?
#57 Re: This is Cool » New mathematic on english » 2012-12-28 07:07:07
What do you think this green line is?
Bob
It is the key moment for Structural Analysis. As soon as you will understand this moment then you will understand all the rest.
This main thing to what we went all this time.
We use a substitution method: http://vladimir938.eto-ya.com/files/201 … -10.12.jpg
SOLID GEOMETRY:
PLANIMETRICS:It is necessary to stop. Everything is clear?
#58 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 12:33:03
I am sure by BOB soon all of you will understand. If on OX and OY to postpone identical sizes, for example:
that the area turns out isomerous and value of all points identical.
If you a cube decided
to represent in the form of a rectangle
that on the area there will be distortions and not all points will be identical and the directions equal. If you it understand that you will appear halfway to truth.
#59 Re: This is Cool » New mathematic on english » 2012-12-27 12:15:27
And why should F' be the addition of these two lines anyway?
Bob
because
Bob!
Descartes decided to present a cube in the form of a rectangle:
Understand?
Look #152 drawing at the left.
So are under construction
on the plane and in space.
These are two interpretations of the same process:
#60 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 11:35:25
Bob
No! tangent line has no direction!
#61 Re: This is Cool » New mathematic on english » 2012-12-27 11:11:04
OK. This makes sense now.
This is all understood.
so
So where is the error please?
Bob
Perfectly! The first sensible that I at you saw this!
Green line:
http://vladimir938.eto-ya.com/files/201 … 8.12-2.jpg
is
Do you agree?
#62 Re: This is Cool » New mathematic on english » 2012-12-27 10:44:48
Sense of the Graf of function as lines in the Cartesian system of coordinates only one:
division of one of these three squares:
at two parts, are other two areas.
Point of graf of function divides the line which is derivative (xy)' quare S=xy at vertical: x'y and horizontal: y'x pieces.
#63 Re: This is Cool » New mathematic on english » 2012-12-27 10:22:40
area of red color
#64 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 10:19:27
The equation of the tangent line:
-Value of a derivative in a contact point the tangent line with graf on function.
You understand this?
#65 Re: This is Cool » New mathematic on english » 2012-12-27 10:04:42
Bob,
You that don't understand, what the line which call the graf of a function y=f(x) of value postpone for the OY axes has no relation to function? But Calculus considers behavior of this line and considers that observes behavior of the y=f(x) function. You that don't understand that it is falsification?
#66 Re: This is Cool » New mathematic on english » 2012-12-27 09:51:07
Well, look through my telescope:
#67 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 09:06:59
You don't see, but sees a tangent of angle of an inclination of a tangent to the Graph of a function. Ask it, he will tell you about each point of the Graph of a function. 
Genes and molecules too it isn't visible but for this purpose there is an imagination
#68 Re: This is Cool » New mathematic on english » 2012-12-27 09:01:17
Time heals.
#69 Re: This is Cool » New mathematic on english » 2012-12-27 08:52:15
You well know history about Galileo Galileya's life? There too in the beginning was a lot of blind...
#70 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 08:45:10
Circle - the geometrical point
#71 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 08:36:52
You write to me the explanation of the role of the function for a point of the graph. The function determines the ordinate of the point. That is clear. Now explain to me what relation does the point of the graph have to the function.
Yes! It's true!
Look this:
#72 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 07:53:09
Read a question and answer it.
Please write a question.
In Russian, perhaps, so we can translate it correctly.
Bob
Вы пишете мне объяснение какую роль играет функция для точки графика функции. Функция определяет ординату точки. Это понятно. Теперь объясните мне какое вообще отношение к функции имеет точка графика функции?
#73 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 07:50:27
Understand that you explain me what role function for a point of GRAF plays. And I ask what role a point of the GRAF plays for function. You understand a difference?
#74 Re: This is Cool » New mathematic on english » 2012-12-27 07:45:43
Well Bob.
But I now show other error of calculus on link
http://www.mathisfunforum.com/viewtopic … 47#p246047
and you there are present.
#75 Re: This is Cool » What is the point (ordered pairs) of Graph of a function? » 2012-12-27 07:40:31
No, not really.
What is [x_1]?
[x_1] is piece on the OX axis with a length: