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Ellipsin piirtäminen

Ellipse with the Rope and Two Pins

An another way to draw an ellipse with the rope through two pins, of which a description. Put two pins eight centimeters in front of each other, ie the image of 80 mm from each other. Connect between the pins 10 cm long string. Take a pen and place it against the string on a red dot. Draw a pattern pins around and you draw an ellipse, the "drawing of a world".

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         50 / 40 = 1,25

         50 / (30 x 1,03) = 1,618   the Golden Ratio

We study through the time dilation the factor 1,25 and 1,03(3) which the image shows as Visual Geometry.

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Ellipse With Two Circles

Ellipse can be configured in many ways, of which the following two circle, one for smaller and one for the major axis. Blue line, which, unfortunately, shows little drawing, consists of an ellipse.

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a)  From the center of the circles is drawn a straight line to a larger circumference.

b)  From the smaller circle intersection is drawn a horizontal line

c)  From the larger circle intersection is drawn a verticall line

d)  The horizontal and vertical line intersection is the point of a ellipse curve.

 

x = a cos (angle)°

y = b sin (angle)°

 

x = 8,09 x cos 55,10°                   y = 5 x sin 55,10°

x = 4,63                                          y = 4,1

Ellipse Can Be Drawn

1. Drawing with the rope through two pins

2. By drawing a compass and straightedge

3. Through technical drawing program

4. By calculating

In practice, the ellipse is drawn through some technical drawing program, still hand-made ​​ellipse is good to know. The other thing is the ellipse's accession to the reality. This because the phenomena form generally an ellipse. Johannes Kepler brought this up first to orbit of a celestial body. Of this we will continue to phenomena. At first, one thing is seen in this image, and later the infinite number through the Visual Geometry.

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21.6.2018*08:00 (916 - 915)
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