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Carl Friedrich Gauss and János Bolyai

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Carl Friedrich Gauss and János Bolyai

Carl Friedrich Gauss vs. János Bolyai

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science. János Bolyai (15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician who developed absolute geometry—a geometry that includes both Euclidean geometry and hyperbolic geometry.

Similarities between Carl Friedrich Gauss and János Bolyai

Carl Friedrich Gauss and János Bolyai have 10 things in common (in Unionpedia): Austrian Empire, Euclidean geometry, Farkas Bolyai, German language, Jeremy Gray, Latin, Mathematician, Nikolai Lobachevsky, Non-Euclidean geometry, Parallel postulate.

Austrian Empire

The Austrian Empire, officially known as the Empire of Austria, was a multinational European great power from 1804 to 1867, created by proclamation out of the realms of the Habsburgs.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.

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Farkas Bolyai

Farkas Bolyai (9 February 1775 – 20 November 1856; also known as Wolfgang Bolyai in Germany) was a Hungarian mathematician, mainly known for his work in geometry.

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German language

German (Standard High German: Deutsch) is a West Germanic language in the Indo-European language family, mainly spoken in Western and Central Europe. It is the most widely spoken and official or co-official language in Germany, Austria, Switzerland, Liechtenstein, and the Italian province of South Tyrol. It is also an official language of Luxembourg and Belgium, as well as a recognized national language in Namibia. There further exist notable German-speaking communities in France (Alsace), the Czech Republic (North Bohemia), Poland (Upper Silesia), Slovakia (Košice Region, Spiš, and Hauerland), Denmark (North Schleswig), Romania and Hungary (Sopron). It is most closely related to other West Germanic languages, namely Afrikaans, Dutch, English, the Frisian languages, and Scots. It also contains close similarities in vocabulary to some languages in the North Germanic group, such as Danish, Norwegian, and Swedish. Modern German gradually developed from the Old High German which in turn developed from Proto-Germanic during the Early Middle Ages. German is the second-most widely spoken Germanic and West Germanic language after English, both as a first and a second language. Today, German is one of the major languages of the world. It is the most spoken native language within the European Union. German is also widely taught as a foreign language, especially in continental Europe (where it is the third most taught foreign language after English and French), and in the United States. The language has been influential in the fields of philosophy, theology, science, and technology. It is the second-most commonly used scientific language and among the most widely used languages on websites. The German-speaking countries are ranked fifth in terms of annual publication of new books, with one-tenth of all books (including e-books) in the world being published in German. German is an inflected language, with four cases for nouns, pronouns, and adjectives (nominative, accusative, genitive, dative); three genders (masculine, feminine, neuter) and two numbers (singular, plural). It has strong and weak verbs. The majority of its vocabulary derives from the ancient Germanic branch of the Indo-European language family, while a smaller share is partly derived from Latin and Greek, along with fewer words borrowed from French and Modern English. English, however, is the main source of more recent loan words. German is a pluricentric language; the three standardized variants are German, Austrian, and Swiss Standard German. Standard German is sometimes called High German, which refers to its regional origin. German is also notable for its broad spectrum of dialects, with many varieties existing in Europe and other parts of the world. Some of these non-standard varieties have become recognized and protected by regional or national governments. Since 2004, heads of state of the German-speaking countries have met every year, and the Council for German Orthography has been the main international body regulating German orthography.

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Jeremy Gray

Jeremy John Gray (born 25 April 1947) is an English mathematician primarily interested in the history of mathematics.

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Latin

Latin (lingua Latina,, or Latinum) is a classical language belonging to the Italic branch of the Indo-European languages.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.

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Nikolai Lobachevsky

Nikolai Ivanovich Lobachevsky (a; –) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula.

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Non-Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.

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Parallel postulate

In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's ''Elements'', is a distinctive axiom in Euclidean geometry.

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The list above answers the following questions

Carl Friedrich Gauss and János Bolyai Comparison

Carl Friedrich Gauss has 502 relations, while János Bolyai has 63. As they have in common 10, the Jaccard index is 1.77% = 10 / (502 + 63).

References

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