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Dear Tomasz,
I have not read yet the examples "trendline by angle", "Gann 45%
line","Gann grid" of your reference.
I just transferred to the mail-list some facts from Geometry,
sufficiently explained (at least I hope so)
Thank you for your comments here and elsewhere.
Best Regards
Dimitris Tsokakis
--- In amibroker@xxxx, "Tomasz Janeczko" <amibroker@xxxx> wrote:
> Hi,
>
> I think that Dimitris pointed out one important thing:
> any drawing tool that uses "angle" in its composition:
> for example "trendline by angle", "Gann 45% line",
> "Gann grid" are somewhat misleading because
> changing one axis scale changes all angles :-)
>
> That's why I am not a big fan of implementing these
> in AmiBroker.
>
> Best regards,
> Tomasz Janeczko
> ------------------------------------------------
> AmiBroker - the comprehensive share manager
> http://www.amibroker.com
> ----- Original Message -----
> From: Dimitris Tsokakis
> To: amibroker@xxxx
> Sent: Sunday, August 12, 2001 2:49 PM
> Subject: [amibroker] Angles
>
>
> In att gif A is a local minimum and B is a local maximum.
> The two graphs are EXACTLY the same "Price" graph
> for the selected stock.
> The angle at the above graph looks like a fine 45 deg.
> The same angle in below graph looks like 30 deg.
> What is the real angle and how will be the same for
> both graphs.
> Is there any "standard" ratio that we should follow with
> the accuracy of Euclidean Geometry in angles design?
> Is there any "standard" goniometer superimposed on
> the "standard" graph, in order to trace the "accurate"
> 45 deg line?
> Of course not.
> Angles, as two dimensional objects change their visual
> shape according to the climax of each axis.
> And here is a great misunderstanding.
> In Analytic Geometry, the x?x and y?y axis represent the
> same set of Real numbers, so they have the same unit 1
> and the line from (0,0) to (3,3) will ALWAYS have angle 45 deg.
>
> But, here is not the same.
> x?x axis is time and for a daily graph the unit is 1 day.
> y?y axis is price and the unit is 1 USD or 1 EURO or 1
> unit of Dow Jones scale etc.
> A square in Analytic Geometry means 4 right angles and
> all sides equal (RELATED TO THE SAME UNIT)
> A square here has two sides equal to 35 USD and two sides
> equal to 25 DAYS.
> To ask 4 sides equal is nonsense.
>
> But, if you want to forget the Euclidean dream and if you want
> the deal with REAL properties, there is a solution.
> In att. gif we have
> tA=282 days
> tB=302 days
> tB-tA=40 days
> highB=6.56 euros
> lowA=4.56 euros
> gain=2 euros
>
> The ratio R=gain/(tB-tA)=0.05 will be independent of any shape
> of your graph, you may call it "tangent" of the
hypothetical "angle"
> and use it as a measure for further correlations for the same
stock.
> If in the next uptrend the stock gains 1.5 euro in 30 days, then
this
> ratio will be 0.05 and the "angles" will look the same on any
graph
> at any scale.
> Just keep in mind that this "angle" will never have a relation
with
> Euclidean angles and any sin, cosin or atan function will NOT give
> the expected results.
>
> No matter if we like it or not, Euclidean Geometry presupposes
> common measure for both axis.
>
> Dimitris Tsokakis
>
>
> Your use of Yahoo! Groups is subject to the Yahoo! Terms of
Service.
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