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1. A straight line segment can be drawn joining any two points.
2. Any straight line segment can be extended indefinitely in a straight line.
3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
4. All right angles are congruent.
5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate.
Euclid's fifth postulate cannot be proven as a theorem, although this was attempted by many people. Euclid himself used only the first four postulates ("absolute geometry") for the first 28 propositions of the Elements, but was forced to invoke the parallel postulate on the 29th. In 1823, Janos Bolyai and Nicolai Lobachevsky independently realized that entirely self-consistent "non-Euclidean geometries" could be created in which the parallel postulate did not hold. (Gauss had also discovered but suppressed the existence of non-Euclidean geometries.)
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Euclidean and Non-Euclidean geometry strictly adhere to all five postulates from Euclid's Elements?
False
Who wrote euclid's elements?
Euclid wrote them
Who told king Ptolemy that ''there is no royal way to learn geometry?
Euclid
What was Euclid's first love?
Nothing is known of Euclid's personal life.
Was Pythagoras was a friend of Euclid?
Pythagoras died before Euclid was born.
What is Euclid's 18th postulate?
There are only five recognized Euclid postulates.
Who proved that only five platonic solids exist?
Euclid was the one who proved that there are only five platonic solids.
What is the title of the 13th book of Euclid's Elements?
The thirteenth book of "Euclid's Elements" is called regular solids. In this final book, Euclid names and describes the properties of the five regular solids and ends it by proving no other regular solids exist.
Non-Euclidean geometry strictly adheres to all five postulates of Euclid's Elements?
false
Euclidean and Non-Euclidean geometry strictly adhere to all five postulates from Euclid's Elements?
False
Is it true that non euclidean geometry strictly adheres to all five postulates of Euclid's elements?
False cuh
Was Euclid English?
Euclid was Greek.
What is the occupation of euclid?
what occupations does Euclid have
Who wrote the Euclid and it was a?
Who wrote the Euclid and it was a.....
Where did Euclid live?
Euclid was born in Megara, In fact 100 years before the great mathematician, Euclid of Alexandria, there was a Euclid of Megara.
Why was the city named after euclid?
Euclid Ohio was named in honor of the Greek Mathematician Euclid.
Where is the Euclid Historical Museum in Euclid Ohio located?
The address of the Euclid Historical Museum is: 21129 North St., Euclid, OH 44117
