Examples of using Euclidean geometry in English and their translations into Danish
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Euclidean geometry Images in sport.
Euclidean geometri Images in sport.From this, you go into Euclidean geometry.
Image-opedia sport- Euclidean geometry Euclidean geometry Images in sport Search our website.
Image-opedia sport- Euclidean geometri Euclidean geometri Images in sport Søg på vores website.Its status was put on an identical footing to euclidean geometry.
Dens status blev sat på en identisk fod til euklidisk geometri.Classical mechanics, Euclidean geometry, Orientation.
Klassisk mekanik, Euclidean geometri, Orientering.Euclid's decision to make this a postulate led to Euclidean geometry.
Euclid's beslutning om at gøre dette til et postulat ført til euklidisk geometri.For this reason he argued that euclidean geometry would always be preferred by physicists.
Af denne grund, han fremførte, at euklidisk geometri vil altid blive foretrukket af fysikere.He realized he had made a mistake: the empirical concept of a rigid body andmathematics alone were not enough to characterize Euclidean geometry.
Han indså, han havde lavet en fejl: den empiriske begrebet en stiv krop ogmatematik alene var ikke nok til at karakterisere euklidisk geometri.Knowledge of elementary Euclidean geometry is presupposed, and some familiarity with the basic notions of physics will be helpful.
Viden om elementære euklidisk geometri er forudsatte, og et vist kendskab til de grundlæggende begreber inden for fysik vil være nyttig.This image belongs to the following categories:Classical mechanics, Euclidean geometry, Orientation. Check out these favourite pictures also.
Dette billede tilhører følgende kategorier:Klassisk mekanik, Euclidean geometri, Orientering. også se på disse andre fremragende billeder.Cremona worried that euclidean geometry was being used to describe non-euclidean geometry and he saw a possible logical difficulty in this.
Cremona bekymret for, at euklidisk geometri blev brugt til at beskrive ikke-euklidisk In this way the Erlanger Programm defined geometry so that it included both Euclidean geometry and non-Euclidean geometry. .
På denne måde Erlanger Programm defineret A systematic study of the axioms of Euclidean geometry led Hilbert to propose 21 such axioms and he analysed their significance.
En systematisk undersøgelse af aksiomer af euklidisk geometri førte Hilbert til at foreslå 21 sådanne aksiomer og han analyseret deres betydning.Cahit Arf's interest in mathematics was stimulated during his school years in Izmir by a teacher who encouraged him to solve problems in euclidean geometry.
Cahit Arf interesse i matematik blev fremmet under hans skole år i Izmir af en lærer der tilskyndede ham til at løse problemer i euklidisk geometri.This had the remarkable corollary that non-euclidean geometry was consistent if and only if euclidean geometry was consistent.
Dette havde den bemærkelsesværdige konsekvens, at ikke-euklidisk In 1869, after Beltrami 's letter… he realized he had made a mistake: the empirical concept of a rigid body andmathematics alone were not enough to characterize Euclidean geometry.
I 1869, efter Beltrami's brev… han indså, han havde lavet en fejl: den empiriske begrebet en stiv krop ogmatematik alene var ikke nok til at karakterisere euklidisk geometri.He presented twelve axioms for Euclidean geometry which he proved to be an complete system of axioms and he also proved the independence of the axioms.
Han præsenterede hundrede og to aksiomer for euklidisk geometri, som han viste sig at være et komplet system af aksiomer, og han viste sig også uafhængighed af aksiomer.The famous fifth, or parallel, postulate states that one and only one line can be drawn through a point parallel to a given line.Euclid's decision to make this a postulate led to Euclidean geometry.
Den berømte femte, eller parallel, postulere, at én og kun én linje kan trækkes gennem et punkt parallel til en bestemt linje.Euclid's beslutning om at gøre dette til et postulat ført til euklidisk geometri.Even universal truths like the Pythagorean theorem(in Euclidean geometry) and the first law of thermodynamics about the preservation of energy contain anthromorphisms in their mathematical formulations.
Selv universelle sandheder som Pythagoras' sætning(i euklidisk geometri) eller termodynamikkens første lov om energiens bevarelse indeholder antropomorfismer i deres matematiske formulering.He believed that because the two geometries were topologically equivalent then one could translate properties of one to the other, so neither is correct or false.for this reason he argued that euclidean geometry would always be preferred by physicists.
Han mente, at fordi de to geometries blev topologically tilsvarende så man kunne oversætte egenskaber ved den ene til den anden, så der hverken er rigtig eller forkert. af denne grund,han fremførte, at euklidisk geometri vil altid blive foretrukket af fysikere.His often quoted dissertation under Moore,on a system of axioms of Euclidean geometry, followed the trend of development of Pasch(1882) and Peano(1889, 1894) rather than that of Hilbert(1899) and Pieri 1899.
Hans ofte citerede afhandling under Moore,på et system af aksiomer af euklidisk geometri, fulgte tendensen i udviklingen af Pasch(1882) og Peano(1889, 1894) snarere end at Hilbert(1899) og Pieri 1899.In 1919 Arf's family moved again, this time to Ankara, but they returned to Istanbul for a short period before they finally settled in Izmir.Cahit Arf's interest in mathematics was stimulated during his school years in Izmir by a teacher who encouraged him to solve problems in euclidean geometry.
I 1919 ARF's familie flyttede igen, denne gang til Ankara, men de vendte tilbage til Istanbul for en kort periode, før de endeligt afgjort i Izmir.Cahit Arf interesse i matematik blev fremmet under hans skole år i Izmir af en lærer der tilskyndede ham til at løse problemer i euklidisk geometri.The first two volumes cover the foundations of Euclidean geometry and the introduction of a coordinate system, volume 3 studies solid geometry considering quadrics, cubic curves in space, and cubic surfaces.
De første to bind dækning af grundlaget for euklidisk geometri og indførelsen af et koordinatsystem, bind 3 studier fast Moving from the observation that our geometric faculties depend on the existence, in nature, of rigid bodies,he presumed he had given a proof that Euclidean geometry was the only one compatible with these bodies, maintaining, at the same time, the empirical, not a priori, origin of geometry. .
Et skift fra den iagttagelse, at vores geometriske fakulteter afhænge af eksistensen, i naturen, af stive organer, han formodede,han havde givet et bevis for, at euklidisk geometri var den eneste forenelig med disse organer, vedligeholdelse, på samme tid, den empiriske, ikke a priori, oprindelse af He published two papers On the So-called Non-Euclidean Geometry in which he showed that it was possible to consider euclidean geometry and non-euclidean geometry as special cases a projective surface with a specific conic section adjoined.
Han offentliggjort to papirer om de såkaldte ikke-euklidisk The assumption that the sum of the three angles of a triangle is less than 180 leads to a curious geometry, quite different from ours[i.e. Euclidean geometry] but thoroughly consistent, which I have developed to my entire satisfaction, so that I can solve every problem in it excepting the determination of a constant, which cannot be fixed a priori….
Den antagelse, at summen af de tre vinkler i en trekant er mindre end 180 fører til en nysgerrig Cremona worried that euclidean geometry was being used to describe non-euclidean geometry and he saw a possible logical difficulty in this. Cremona was wrong, but his worries caused Beltrami to put his work on one side for a while but the work of Riemann convinced Beltrami that his methods were sound.
Cremona bekymret for, at euklidisk geometri blev brugt til at beskrive ikke-euklidisk 
