John F. connor

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Answer updated on: 06 Aug 2019

David Hilbert published a book in 1899 about geometry. It is called The Foundations of Geometry. There are over twenty assumptions made by Hilbert. The three terms used in Hilbert’s axioms are the point, the line and the plane. There are also three primitive relations. These are called betweenness, congruence and lies on. There are five parts to Hilbert’s axioms. They are called ...

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Answer updated on: 06 Aug 2019

An isosceles triangle is a side where two of the sides are equal in length. These two sides are going to be the ones that meet at the right angle. The hypotenuse is the longer side of the triangle that is opposite of the right angle. Therefore, you already know that lengths of two sides of the triangle if one side is twelve centimeters. The Pythagorean Theorem has a formula of A squared plus ...

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Answer updated on: 06 Aug 2019

If I had a math teacher who gave me a difficult problem because it had a set of complex numbers to use, I would definitely use a calculator. A complex number is one that includes two real numbers that are seen in the form of A and B. Then there is one that is the result of an equation. The equation is x squared is equal to negative one.

This number is considered to be an ...

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Answer updated on: 06 Aug 2019

Named after himself, Pythagoras was a mathematician as well as other things. However, he is most well known for his Pythagorean Theorem. He was born in 569 BC and died sixty-nine years later in 500 B.C. He was born in Greece, but he traveled frequently to Egypt. He wasn’t the only person in Greece to be studying and enjoying math.

Instead, he created a group of people ...

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Answer updated on: 06 Aug 2019

The Pythagorean Theorem is known for calculating right triangle, but it also applies to spherical objects. It is hard to believe that the Pythagorean Theorem can be applied to spheres, but they can. The sphere has a right triangle in it. Then amounts of two sides have been given and then the hypotenuse or the other side can be determined.

Then the rest of the circle and ...

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Answer updated on: 06 Aug 2019

The law of the cosines involves a triangle where it relates to the angles and not the sides like it does with the Pythagorean Theorem. However, there is also a formula for the law of cosines and it is similar to the formula for the Pythagorean Theorem. It states C squared is equal to A squared plus B squared minus two A times B times the cosine times the measurement of the angle that is ...

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Answer updated on: 06 Aug 2019

The Pythagorean triple can easily be seen and recognized because the picture of it is popular in relation to the Pythagorean theorem. It shows a right triangle with a square off of each side. The biggest square is off of the hypotenuse. It is required that the amounts for each side are positive integers.

The most common type of the Pythagorean triple is when the smallest ...

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Answer updated on: 06 Aug 2019

Albert Einstein was a well-known scientist and mathematician. Even though the Pythagorean theorem was founded long before Einstein was born, he still played a part in its proof. Einstein wrote a mathematical proof using the Pythagorean theorem. Some people consider it to be the most excellent proof. When presented with a regular triangle, Einstein drew a line straight down to create two right ...

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Answer updated on: 06 Aug 2019

Euclid had a method known as Euclidean algorithm. The main point of using this algorithm is to determine the greatest common divisor. Two numbers are given and using this method, you can figure out the highest number that can evenly be divided into those two numbers. Like many math problems, two methods or theorems can be applied.

In proofs, they may both be used. One way ...

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Answer updated on: 06 Aug 2019

Solid modeling refers to three-dimensional models. When referring to n-dimensional solids, that means that there are shapes, but it could different dimensions. It could be two or three dimensions. There are ways to apply the Pythagorean theorem to three-dimensional shapes if the shape has a right angle in its triangle.

Just like a 2-dimensional shape, the student would need ...

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