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Proportion Of Angles 2018


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#1 msbiljanica

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Posted 26 January 2018 - 11:37 AM

load the attachment
see the description of the construction
slider - $alpha$ -select the angle
slider - point P - ruler with a socket, point Q must be line n


#2 exchemist

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Posted 26 January 2018 - 03:27 PM

 

load the attachment
see the description of the construction
slider - $alpha$ -select the angle
slider - point P - ruler with a socket, point Q must be line n

 

Why?



#3 Turtle

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Posted 26 January 2018 - 04:07 PM

The proportion of angels is always variable. :angel:

#4 msbiljanica

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Posted 28 January 2018 - 02:52 AM

variable angle  \alpha,

constant ruler (PT\infty\infty)and divider (PUQ)

slider (P) is cross-sectional variable angle and constant ruler and divider ( point Q on the line n)

 

 

Whether you are from the previous understand how it works proportions of angles, or that you explain step by step?



#5 msbiljanica

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Posted 07 February 2018 - 10:23 AM

Attachments
 
on the ruler  $AB\infty{_1}\infty{_2}$ , raises divider ADC where AB + AB = AC, ruler sets the angle $\alpha$
semi-line ruler $B\infty{_1}$ sliding on point E , the point A of ruler slides semi-line l  ,  when point C is on the line n , we get the radius of the circle , we get the angle $\beta$
we have solved the tricection of any angle
 
Look at the construction protocol , or find the error if there is ....


#6 Turtle

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Posted 07 February 2018 - 11:08 AM

 

Attachments
 
on the ruler  $AB\infty{_1}\infty{_2}$ , raises divider ADC where AB + AB = AC, ruler sets the angle $\alpha$
semi-line ruler $B\infty{_1}$ sliding on point E , the point A of ruler slides semi-line l  ,  when point C is on the line n , we get the radius of the circle , we get the angle $\beta$
we have solved the tricection of any angle
 
Look at the construction protocol , or find the error if there is ....

 

The classic trisection problem specifies tools as straightedge and compass only. Trisection using a ruler is not a problem.



#7 msbiljanica

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Posted 12 February 2018 - 10:39 AM

Turtle - The classic trisection problem specifies tools as straightedge and compass only

 

 

 
straightedge slip on the point B  - line i
 
divider  FIG , slides on straightedge , after slipping point F straighte line BC , point  G describes lokus1  
 
section lokus1 and line k point J , when changing the angle, the point J must be manually set to the intersection