What is Steinerlemos s theorem, the geometric theorem of Steiner s theorem

That's a question that I'm asking.

Steiner's theorem: "If the bisector of the two interior angles in a triangle is equal in length, it must be an isosceles triangle". The inverse of this proposition is the exaggeration of the shed:

The bisector of the two base angles of an isosceles triangle is equal in length", which has been used as a theorem in the "Geometric Originals" more than 2,000 years ago, and it is easy to prove.

But these propositions are not mentioned in the Geometry Originals until 1840, when Remmers (in his letter to Stum) asked for a proof of pure geometry. Without solving the problem, Sturm asked many mathematicians this clear problem. The first to prove this was given by the Steiner geometry (1796-1863), hence the name of the theorem Steiner-Lemmers theorem.

Steiner's theorem: The less you say it, the more you hear it.

Steiner's theorem: The less you say it, the more you hear it. Only by listening well to others can we better speak up about ourselves. If you talk too much, what you say will become an obstacle to doing.

Mathematically, if a subset family of a set with k elements does not contain two pairs, it is called an antichain, and the maximum number of backlinks is c[k 2], which is the only two when k is an odd number and unique when it is even.

Basic Introduction: Application in Real Life:

First, only by listening to others well can we better speak of ourselves, and humbly listening to the opinions of others is a necessary condition for a person's progress;

Second, when your opinions are immature, you can't express them, and if you talk too much, what you say will become an obstacle to doing;

Third, listen more, do more, and say less is a sign of personal maturity.

Revelation. God gave us two ears and one mouth to hear more and talk less. The famous inspirational guru Dale Carnegie once said:

Attentive listening to others is the greatest compliment we can give and the best way to win their popularity. "It can be seen that listening is good for others and for yourself.

Takeaway 2: Active listening can resolve conflicts.

Listening is a magical power that can resolve conflicts and resolve conflicts. Everyone has the psychology that when he is interested in something, he pays attention with enthusiasm. Therefore, listening carefully to someone while they are speaking is the best attention for him to let him know that you are interested in what he has to say.

In this way, he has the feeling of being respected and appreciated, and who does not have a good impression of a person who respects and appreciates himself? Listening has the same effect on family and friends, as well as on superiors and subordinates, and one of the benefits of listening to others is that they will reciprocate your sincerity with enthusiasm and gratitude.

Revelation 3: Don't be self-righteous and don't listen to counsel.

It has been said that learning to listen to you will never be at a loss. How plausible this statement is, you can understand other people's thoughts and you can be inspired. More importantly, sometimes when others sincerely give you advice and suggestions, as long as you listen with an open mind and think carefully, it is possible to avoid a bad outcome.

Summary. Overview.

Marius's law states that when a ray beam propagates in an isotropic homogeneous medium, it always maintains orthogonality with the wave surface, and the optical path between the incident wave surface and the exit wave surface is fixed.

The derivation process of Marius's law and the significance of each physical quantity.

Marius's law states that when the beam propagates in an isotropic homogeneous medium, it always maintains orthogonality with the wave surface, and the optical path between the incident wave surface and the exit beam is fixed.

PrincipleAccording to the theory of electromagnetic waves, light is a transverse wave, which tells the direction of vibration of the sock and the direction of light propagation perpendicular to it. In the plane perpendicular to the propagation direction of the laser wave, the light vector may have different vibration directions, and the state of the light vector remaining in a certain vibration direction is usually called the partial friend Li Zhen state.

After the polarized light generated by the polarizer passes through the polarizer, as shown in Figure 1, om represents the polarization direction of the polarizer and the polarization direction of the polarizer is represented by the traveling kin, and their angles areThe natural light passes through the polarizer and becomes a linearly polarized light in the OM direction, and its amplitude is e0, and the polarizer has no choice but to allow its components in the ON direction to pass through, so the amplitude of the light transmitted from the polarizer is e=e0cos It can be seen that if the light intensity of the incident polarizer is i0, the light intensity emitted by the polarizer has a certain relationship with the original light intensity and the angle of the polarizer.

In 1808, Marius experimentally pointed out that the intensity of the linearly polarized light with the intensity of i0 is the angle between the direction of the polarized light and the polarization direction of the polarizer after passing through the polarization detector (i=i0cos2 where is the angle between the direction of optical vibration of the polarized light and the polarization direction of the polarizer.

A beam of linearly polarized light with an intensity of i0, after passing through the polarizer, the light intensity of the transmitted light is i=i0cos2 where is the angle between the optical vibration direction of the linearly polarized light and the transmission code direction of the polarizer, which is called Marius's law. The polarizer P1 is placed in the optical path as a polarizer to obtain the linear polarized light whose vibration direction is consistent with the transmission direction of P1, and the intensity of the linear deflection is about one and a half of the incident natural light intensity.

Put the partial loss vibrating plate P2 in the optical path, as a polarizer, the angle between P2 and P1 is the transversal square, the light amplitude through P2 is E=E0Cos, and the light intensity is I=I0Cos2 This is Marius's law. From this equation, we can see that when =0° or 180°, i=i0, the transmitted light is the strongest.

When =90° or 270°, i=0, the transmitted light intensity is zero. When it is a different value, the light intensity is between 0 and i0. Simple principle:

The angle between the transmission directions of the two polarizers is , the polarization optical distraction amplitude through the polarizer is a0, then the amplitude through the polarizer is a, then a=a0cos Because the detector detects the light intensity, the light intensity is i=a2, and i=(a0cos)2=i0cos2 can be obtained

Marius's law: The intensity of linearly polarized light with the intensity of io is i=io(cos) 2 after passing through the polarization piece. (It is the angle between the direction of optical vibration of the polarized light entering the ray and the polarization direction of the polarizer.) )

Suppose that a polarizer is placed behind another polarizer, according to the relevant function of each polarizer, the first polarizer in front of the incident light is called the "polarizer", and the second polarizer in the back is called the "polarizer". If the two transmission axes are perpendicular to each other, the two polarizers are called "orthogonal polarizers".