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#1 2023-08-08 09:12:03

Hannibal lecter
Member
Registered: 2016-02-11
Posts: 392

Visual heron's formula

In this YouTube link

https://youtu.be/6KPSmajeseI

He is talking about heron's proof
He is talking about scaling a traingle
Starting in minute 1:01

What is a traingle scaling and is there on MiF


Wisdom is a tree which grows in the heart and fruits on the tongue

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#2 2023-08-09 01:52:36

Bob
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Registered: 2010-06-20
Posts: 10,503

Re: Visual heron's formula

Abot half way he gets to the formula

Then he takes the right angled triangle with shorter sides r and x, and enlarges it by a scale factor of yz so it becomes rxz by by xyz.  He adds on other enlarged triangles.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
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#3 2023-08-10 22:06:40

Hannibal lecter
Member
Registered: 2016-02-11
Posts: 392

Re: Visual heron's formula

Bob wrote:

Abot half way he gets to the formula

Then he takes the right angled triangle with shorter sides r and x, and enlarges it by a scale factor of yz so it becomes rxz by by xyz.  He adds on other enlarged triangles.

Bob

why he enlarged the r and x by yz
What for?
And next step he enlarge the sides r and y by
z.(x^2+r^2)^1/2 Why exactly this equation?


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