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8 Interesting Geometry Theorems You Should Know
2022/10/24 19:40:26瀏覽60|回應0|推薦0

Back in college, I loved studying geometry. That being said, if I could hire someone to do my geometry homework, I would have done it without giving it a second thought. Why? Well because college is as much about social interactions, networking as it is about studies, term papers and assignments.

Having the ability to outsource homework would have given me time to develop important skills such as critical thinking, effective communication, etc. However, during those days, the internet wasn’t too big and homework help services hadn’t surfaced. That isn’t the case with student’s today.

With advancements in technology, we have given a lot of things to our students to study, but at the same time be distracted. However, using assignment help can ensure you have that extra time to out in extra efforts.

There are a number of interesting geometric theorems that are worth exploring. Some of these theorems may seem basic, but when put together they form a much more complex picture. So, if you’re looking for something to keep your mind active during your commute or while you’re just sitting around, give some of these theorems a try. 

The Pythagorean Theorem

The Pythagorean Theorem is a famous statement in geometry that states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is very useful for solving problems involving right triangles, and can be used to find values for various lengths in these triangles.

The Parabolic Formula

The Parabolic Formula is a simple geometric theorem that states that if a curve is drawn between two points, the distance between the points will be a constant multiple of the curve's radius. This formula can be used to calculate distances between points on a curved surface, or to determine the shape of a parabola.

The Rectangular Formula

Rectangular Formula: If a rectangle has its longest side parallel to the given straight line and its other sides are congruent to squares on the same side of the line, then the rectangle has a square root in the middle. For example, if ABC is a rectangle with AB = 4 and BC = 6, then ACE = 16.

The Hyperbolic Formula

The Hyperbolic Formula is a geometric theorem that states that in a certain area, the distance between any two points is inversely proportional to the square of the distance between those points. 

This means that if you double the distance between two points, the hyperbolic distance between them will be reduced by a factor of four. The formula can be used to calculate distances in areas with complex geometry, such as valleys or inside curves.

Thales Theorem

The Thales theorem is a result in geometry that states that any two intersecting lines perpendicular to each other have at least one point of intersection. The theorem was first stated by the Greek mathematician Thales circa 600 BC.

Euler’s Theorem of Motion

Euler’s Theorem of Motion is one of the most important and well-known theorems in geometry. It states that a particle in a fixed, unvarying environment will continue moving in a straight line unless acted on by an outside force. This theorem is especially useful for understanding how objects move in space, and can be applied to everything from projectiles to planets orbiting stars.

Kepler’s Third Law of Planetary Motion

Kepler’s Third Law of Planetary Motion states that a planet’s orbit is an ellipse in the plane of its orbit with the sun at one focus. This law is based on Kepler’s Second Law which states that a planet’s orbital velocity v is proportional to the square of its distance from the sun.

Gauss’s Law of Gravitation

Gauss’s Law of Gravitation states that the force of gravity between two masses is a constant, regardless of their distance from each other. This law is based on the principle of Conservation of Mass, which states that the total mass of an object remains the same no matter how much it is moved. 

The force of gravity between two masses is determined by the gravitational attraction between their masses and the square of the distance between them.


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