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democritus
demokritos

there are then questions for democritus to answer.
siin on siis küsimused demokritos vastata.

certainly democritus was not the first to propose an atomic theory.
kindlasti demokritos ei olnud esimene ettepaneku aatomi teooria.

very little is known for certainty about democritus's contributions to mathematics.
väga vähe on tuntud kindlus demokritos osaluse matemaatika.

this idea of democritus may have led archimedes later to apply the same idea to great effect.
see idee demokritos võis archimedes hiljem kohaldada sama idee suurt mõju.

democritus of abdera is best known for his atomic theory but he was also an excellent geometer.
demokritos kohta abdera tuntakse kõige paremini tema aatomi teoorias, vaid ta oli ka suurepärane geometer.

democritus was disappointed by his trip to athens because anaxagoras , then an old man, had refused to see him.
demokritos oli pettunud oma reisi ateena sest anaksagoras, siis mees, keeldus teda näha.

however heath does not believe, as chrysippus does, that democritus regards mathematical lines as having an atomic structure.
kuid heath ei usu, nagu khrysippos see, et demokritos osas matemaatiliste liinid, millel on aatomi struktuuri.

to democritus freedom of choice was an illusion since we are unaware of all the causes for a decision. democritus believed that :
et demokritos valikuvabadus on illusioon, kuna me ei tea kõiki põhjuseid otsuse. demokritos uskus, et:

democritus asserted that space, or the void, had an equal right with reality, or being, to be considered existent.
demokritos väitis, et ruumi või tühine, oli võrdne õigus tegelikkusele, või on, tuleb pidada õigustühiseks algusest peale.

another fundamental idea in democritus's theory is that nature behaves like a machine, it is nothing more than a highly complex mechanism.
teine oluline idee demokritos teooria on, et loodus käitub nagu masin, see on midagi muud kui väga keeruline mehhanism.

the second source is in the work of epicurus but, in contrast to aristotle , epicurus is a strong believer in democritus's atomic theory.
teine allikas on töö epikuros, kuid erinevalt aristoteles, epikuros on tugev usklik et demokritos tuumaküsimustega teooria.

this was a remarkable theory which attempted to explain the whole of physics based on a small number of ideas and also brought mathematics into a fundamental physical role since the whole of the structure proposed by democritus was quantitative and subject to mathematical laws.
see oli tähelepanuväärne teooria, mis püüdis selgitada kogu füüsika aluseks väike hulk ideid ja toonud ka matemaatika arvesse põhiõiguste füüsiline roll, sest kogu struktuur pakutud demokritos oli kvantitatiivne ja tingimusel, et matemaatika seadusi.

others, see for example , have come to the opposite conclusion, believing that democritus made contributions to problems of applied mathematics but, because of his atomic theory, he could not deal with the infinitesimal questions arising.
jt, vt näiteks tulnud vastupidine järeldus, uskudes, et demokritos kaasa aidanud probleeme rakendada matemaatikat, kuid kuna tema aatomi teoreetiliselt ta ei saanud tegeleda üliväike tulenevad küsimused.

in the method of archimedes , happily discovered in 1906, we are told that democritus was the first to state the important propositions that the volume of a cone is one third of that of a cylinder having the same base and equal height, and that the volume of a pyramid is one third of that of a prism having the same base and equal height; that is to say, democritus enunciated these propositions some fifty years or more before they were first scientifically proved by eudoxus .
meetodis, archimedes, õnneks avastati 1906, me oleme rääkinud, et demokritos oli esimene riik oluline propositions et maht koonus on üks kolmandik selle ballooni, millel on sama alus ja võrdse kõrgusega ning maht ja püramiid on üks kolmandik selle prisma, millel on sama alus ja võrdse kõrgusega; see tähendab, demokritos sõnastatud need propositions umbes viiskümmend või rohkem aastat enne kui need esimest korda teaduslikult tõestada eudoxus.