영어에서 Euclid's 을 사용하는 예와 한국어로 번역
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Euclid's axioms.
Thirteen books of Euclid's elements.
Euclid's axioms.
This laid the foundations for Euclid 's systematic approach to mathematics.
Euclid's axioms.
Heath: The thirteen books of Euclid's elements Preface.
Euclid's axioms.
However little is known of Euclid's life except that he taught at Alexandria in Egypt.
Euclid's theorem.
A very minor part of the course would cover Euclid 's Elements and Ptolemy 's astronomy.
Euclid's axioms.
He showed that several of the theorems of Euclid 's Elements can be established from a single theorem.
Euclid's decision to make this a postulate led to Euclidean geometry.
The other part of the puzzle we have to consider here is the earliest version of Euclid's Elements to be found.
Euclid's original proof adds a third: the two lengths are not prime to one another.
In 1509 he published the three volume work Divina proportione and also a Latin translation of Euclid 's Elements.
He began to think about Euclid 's geometrical axioms and in particular the independence of the Fifth Postulate.
In other writings on geometry he, like many Muslim scientists, attempted to give a proof of Euclid's fifth postulate.
Of Euclid's works, the Elements, the Data, the Optics, the Phaenomena, and On Divisions were translated.
Khayyam also gave important results on ratios in this book, extending Euclid 's work to include the multiplication of ratios.
Not only did he quickly master Euclid 's Elements, which he read in the original Greek, but he also became an accomplished musician.
Given these views it is not surprising that his 1569 textbook on geometry contained strong criticisms of Euclid 's Elements.
This comment was enough to start Mary on the road to study Euclid 's Elements which she did with the help of her younger brother's tutor.
Sufficient reason is a powerful principle, and it seems to suggest that the space we live in is just like the space of Euclid's geometry.
I[EFR] think that it is clear that whether or not al-Khwarizmi had studied Euclid 's Elements, he was influenced by other geometrical works.
Since Euclid 's axiomatic formulation of geometry mathematicians had been trying to prove his fifth postulate as a theorem deduced from the other four axioms.
In his"Eléments" Legendre greatly rearranged and simplified many of the propositions from Euclid 's"Elements" to create a more effective textbook.
He later edited a version of Euclid's Elements(1834) and wrote his most famous text An Elementary Treatise on Algebra Theoretical and Practical(1844).
Zeno of Sidon, about 250 years after Euclid wrote the Elements,seems to have been the first to show that Euclid's propositions were not deduced from the postulates and axioms alone, and Euclid does make other subtle assumptions.
None of Euclid's works have a preface, at least none has come down to us so it is highly unlikely that any ever existed, so we cannot see any of his character, as we can of some other Greek mathematicians, from the nature of their prefaces.