0
What is a group of three whole numbers that satisfies Pythagoras' theorem?
Wiki User
∙ 12y ago
3,4,5
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What was the name of the group that followed Pythagoras?
They were known as the Pythagoreans.
Which group of numbers best continues the series below 1 10 3 9 5 8 7 7 9 6?
2 11 4 10 6 9 8 8 10 7
What is the symbol for Radian Group Inc in the NYSE?
The symbol for Radian Group Inc. in the NYSE is: RDN.
What does ftg mean?
FTG is an abbreviation. FTG represents Firan Technology Group. This group is a Northern American group that focuses on high technology, such as, illuminated display systems and printed circuit boards.
Is at 3'oclock an adverb?
at 3 o'clock is an adverbial phrase.It is adverbial because it modifies the meaning of a verb:They left at 3 o'clock.(When did they leave)?It is a phrase because it is a group of words (precisely: a group of words with no finite verb).
What was the name of Pythagoras's group?
The name for the followers of Pythagoras was the Pythagoreans.
What are the groups in commutative nouns?
The term commutative group is used as a noun in sentences. A commutative group is a group that satisfies commutative law in mathematics. Commutative law states that we can swap numbers of problem when adding or multiplying.
What did Pythagoras do besides math?
Pythagoras was philosopher, mathematician and founder of a religious group
What is Cayley's Theorem?
Cayley's Theorem states that every group G is isomorphic to a subgroup of the symmetric group on G.
Why was the pythagorean theorem developed?
Best Answer Pythagoras (569-500 B.C.E.) was born on the island of Samos in Greece, and did much traveling through Egypt, learning, among other things, mathematics. Not much more is known of his early years. Pythagoras gained his famous status by founding a group, the Brotherhood of Pythagoreans, which was devoted to the study of mathematics. The group was almost cult-like in that it had symbols, rituals and prayers. In addition, Pythagoras believed that "Number rules the universe,"and the Pythagoreans gave numerical values to many objects and ideas. These numerical values, in turn, were endowed with mystical and spiritual qualities. Legend has it that upon completion of his famous theorem, Pythagoras sacrificed 100 oxen. Although he is credited with the discovery of the famous theorem, it is not possible to tell if Pythagoras is the actual author. The Pythagoreans wrote many geometric proofs, but it is difficult to ascertain who proved what, as the group wanted to keep their findings secret. Unfortunately, this vow of secrecy prevented an important mathematical idea from being made public. The Pythagoreans had discovered irrational numbers! If we take an isosceles right triangle with legs of measure 1, the hypotenuse will measure sqrt 2. But this number cannot be expressed as a length that can be measured with a ruler divided into fractional parts, and that deeply disturbed the Pythagoreans, who believed that "All is number." They called these numbers "alogon," which means "unutterable." So shocked were the Pythagoreans by these numbers, they put to death a member who dared to mention their existence to the public. It would be 200 years later that the Greek mathematician Eudoxus developed a way to deal with these unutterable numbers Answer by patel n 5 years ago Report Abuse Asker's Rating: Thank you for your informative answer. Not only did you include information about the pythagorean theorem, but you also talked about his life and achievments.
What was the name of the group that followed Pythagoras?
They were known as the Pythagoreans.
Where did Pythagoras discover the triangle property?
It appears that Pythagoras didn't discover it, as it was known to the Babylonians before his time.Pythagoras founded a group (called the Pythagoreans). The contribution of this group to what is now called Pythagoras's Theorem seems to have been to state it in a general form, and maybe to attempt a proof of it. Unfortunately there is essentially no evidence surviving for who did what in the group, or when.Pythagoras founded his group in a place called Croton (in Italy), but he and his followers were eventually driven out, and went to various places. Also Pythagoras travelled around before he went to Croton. So we don't even know with certainty where the work by the Pythagoreans on the triangle property was done, thouogh Croton would be a reasonable guess, as far as we know.My source is Morris Kline, Mathematical Thought from Ancient to Modern Times, Oxford Universty Press New York, 1972, page 10 and pages 28-34.
Prove that a group of order 5 must be cyclic?
There's a theorem to the effect that every group of prime order is cyclic. Since 5 is prime, the assertion in the question follows from the said theorem.
Who is Phytagora?
Pythagoras was born on the island of Samos, Greece in 569 BC, and died about 500 BC in Metapontum, Lucania. He traveled extensively in Egypt, learning math, astronomy and music. Pythagoras was also a healer, a wrestler, and was politically active. Pythagoras was a Greek Mathematician born in 569 B.C. who studied math, music, and astronomy. Pythagoras left Samos in disgust for its ruler Polycrates. He settled in Cretona, a Greek colony in southern Italy. There he founded a movement with religious, political and philosophical goals. To facilitate his movement, he created a school where his followers lived and worked. He had many devoted followers who were called Pythagoreans. They had to adhere to certain strict rules. Obedience, silence, abstinence from food, simplicity in dress and possessions, and the habit of frequent self examination were required of the Pythagoreans. They also believed in immortality and transmigration of souls. Pythagoras created a strict order where his followers worked with Pythagoras to make new discoveries and theories. Pythagoras did much more than just discover what is now referred to as the Pythagorean Theorem. Pythagoras and his followers contributed to music, astronomy and mathematics. Pythagoras believed in secrecy and communalism, so distinguishing his work from the work of his followers is almost impossible. When joining Pythagoras's group, you had to remain silent for five years before you could contribute to the group. Some of their discoveries were right, and some were proven wrong in time. Pythagoras worked with his followers in secret, so discerning the work of Pythagoras and the work of his followers is almost impossible.Pythagoreans studied Math, Astronomy, and Music. The Pythagoreans noticed that vibrating strings produced harmonious tones when the ratios of the lengths of the strings were changed by whole numbers. They also found out that these could be transferred to other instruments. This discovery was used to help him with his math and astronomy research. Pythagoreans noticed that strings produced harmonious tones, when the ratios of the lengths of the strings were changed by whole numbers. The astronomical discoveries of the Pythagoreans had a major impact on ancient scientific thought. Pythagoreans were the first to consider the earth as one of several planets which revolved around the sun. They believed that the distance each of the heavenly bodies corresponded to a length of string with a specific tone. Pythagoras believed all of these heavenly bodies moving created a "Harmony of Spheres." Pythagoras believed all of these heavenly bodies, with their distances corresponding to a specific tone, moving created a "Harmony of Spheres." Among the many mathematical investigations of the Pythagoreans were the study of odd, even, prime and square numbers. This helped them develop a basic understanding of mathematics and geometry to build their Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Though it was known to Babylonians 1000 years before, Pythagoras was the first to decisively prove it. Pythagoras was the first to prove the square of the hypotenuse is the sum of the sides squared, or Pythagorean theorem. Pythagorean theorm: a2 + b2 = c2Please refer to: http://en.wikipedia.org/wiki/Pythagoras for more details.
How do you find the average in a problem?
The average of a group of numbers is(the sum of all the numbers in the group)/(how many numbers there are in the group)
How do you work out the mean of a group of numbers?
By adding up all the numbers in the group and dividing by the number of numbers in the group.
Every finite group is isomorphic to a permutation group?
yes form cayleys theorem . every group is isomorphic to groups of permutation and finite groups are not an exception.
