Pure maths, physics, logic (braingames.ru): non-trade-related brain games - page 201

[Alexandr Bryzgalov]

MigVRN:

No - I drew it myself - by connecting all the possible points in sequence and cutting off the excess :)

OK - I have to connect the corners one by one. I'll let you know when I get it.

it works only if the trapezoid is not a parallelogram )

[Sceptic Philozoff]

MigVRN:

No - I drew it myself - by connecting all the possible points in sequence and cutting off the excess :)

OK - I'll go through the corners one by one. I'll let you know if I get it.

Everything looks suspiciously beautiful. I have changed the trapezoids and repeated your constructions. Everything converges with pixel-precise hand-drawn accuracy.

The small dots under the base show the exact division.

I have to think about it.

sanyooooook:
It only works if the trapezoid is not a parallelogram.)

It's easy to turn a parallelogram into a trapezium.

[Andrey Miguzov]

sanyooooook:
only if the trapezoid is not a parallelogram )

Mathemat:

A parallelogram is easy to turn into a trapezium.

Put a ruler in the bottom right (left) corner and draw a line upwards so that it crosses the top base... Then all the same operations...

[Sceptic Philozoff]

MigVRN:
the ruler to the bottom right (left) corner and draw a line upwards so that it crosses the top base... Then all the same operations...

This is clear. Can you prove what I asked you to prove?

[Andrey Miguzov]

Mathemat:
That's understandable. Can you prove what I asked you to prove?

while I think...

[Alexandr Bryzgalov]

Mathemat:
A parallelogram can easily be turned into a trapezoid.

It doesn't work for a rectangle, for Christ's sake.)

ZZZ: it does fit ) in the case of a right triangle it is proved by the radii of circles.

[Sceptic Philozoff]

sanyooooook:

It doesn't work for a rectangle, for Christ's sake.)

ZS: it fits ) in the case of a right triangle it is proved by the radii of the circles.

Fuck the rectangle. We have a trapezoid with different bases.

And how are you going to build a right triangle with one ruler?

[Andrey Miguzov]

Mathemat:

- then build the extensions of sides 3 and 4, and from their intersection point build 5 through the diagonal intersection point. This 5 divides the large base in half,

I'm having trouble withthe highlighting- I don't understand why?

[Alexandr Bryzgalov]

Mathemat:

Fuck the rectangle. We have a trapezoid with different bases.

And how are you going to build a right triangle with just a ruler?

Use the ruler as a compass to find the third vertex of a right triangle.

use a straight edge ruler to find the altitudes, aka medians.

with respect to the centre of an incircle (intersection of altitudes), reflect in a straight line through the centre the angles of the triangle

The intersection of the sides of the original triangle and the mirrored triangle divide each side into three parts

[Andrey Miguzov]

sanyooooook:

using a ruler as a compass, find the third vertex of a right triangle.

You can't do that. A ruler can only connect 2 points - draw a line through them. A compass can draw a circle through 2 points. They are different tools.