Question

Phythagoras system ​

Answer 1

Answer:

The Pythagoreans believed that the basis of everything in the universe is numbers. The Pythagoreans were the first people to realize that numbers exist in their own right.

Step-by-step explanation:

Pythagoras Theorem Statement⤵️

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

Pythagoras Theorem Formula⤵️

Consider the triangle given above:

Where “a” is the perpendicular side,

“b” is the base,

“c” is the hypotenuse side.

According to the definition, the Pythagoras Theorem formula is given as:

Hypotenuse² = Perpendicular² + Base²

Hypotenuse² = Perpendicular² + Base²c² = a² + b²

The side opposite to the right angle (90°) is the longest side (known as Hypotenuse) because the side opposite to the greatest angle is the longest.

Example⤵️

The examples of theorem based on the statement given for right triangles is given below:

Consider a right triangle, given below:

Pythagoras theorem example

Find the value of x.

X is the side opposite to right angle, hence it is a hypotenuse.

Now, by the theorem we know;

Hypotenuse2 = Base2 + Perpendicular2

x2 = 82 + 62

x2 = 64+36 = 100

x = √100 = 10

Therefore, we found the value of hypotenuse here.

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Answer 2

Answer:

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☯︎PʏTʜAGᴏRᴀS SʏSᴛEᴍ.:-

• ❥︎An astronomical system positing that the Earth, Moon, Sun and planets revolve around an unseen "Central Fire" was developed in the 5th century BC and has been attributed to the Pythagorean philosopher Philolaus.
• ❥︎The system has been called "the first coherent system in which celestial bodies move in circles",anticipating Copernicus in moving "the earth from the center of the cosmos [and] making it a planet".
• ❥︎Although its concepts of a Central Fire distinct from the Sun, and a nonexistent "Counter-Earth" were erroneous, the system contained the insight that "the apparent motion of the heavenly bodies" was (in large part) due to "the real motion of the observer".How much of the system was intended to explain observed phenomena and how much was based on myth and religion is disputed.
• ❥︎ While the departure from traditional reasoning is impressive, other than the inclusion of the 5 visible planets, very little of the Pythagorean system is based on genuine observation. In retrospect, Philolaus's views are "less like scientific astronomy than like symbolical speculation."

☞︎︎︎NOTE-Philolaus believed there was a "Counter-Earth" (Antichthon) orbiting the "Central Fire" and that neither were visible from Earth. The upper illustration depicts Earth at night while the lower one depicts Earth in the day.