CYCLOID in English translation

• cycloid

Examples of using Cycloid in Danish and their translations into English

Torricelli også beregnet området og Tyngdepunktet af cycloid.
Torricelli also computed the area and centre of gravity of the cycloid.

I 1638 han meddelte, at Roberval faktisk havde fundet området under cycloid.
In 1638 he announced that Roberval had indeed found the area under the cycloid.

Hans sidste arbejde var på cycloid, kurven spores ved et punkt på omkredsen af en rullende cirkel.
His last work was on the cycloid, the curve traced by a point on the circumference of a rolling circle.

Til området af en del af cycloid hvis genererer cirkel har en diameter svarende til længden på kanylen.
To the area of part of the cycloid whose generating circle has diameter equal to the length of the needle.

Mersenne studeret cycloid i flere år at citere hans forskning i Quaestiones i Genesim(1623),
Mersenne studied the cycloid for several years quoting his research in Quaestiones in Genesim(1623),

Løsningen af cycloid ikke var blevet fundet af Galileo der tidligere havde givet en forkert løsning.
The solution of the cycloid had not been found by Galileo who had earlier given an incorrect solution.

I det Huygens viser, at cycloid er tautochronous et vigtigt teoretisk resultat,
In it Huygens proves that the cycloid is tautochronous, an important theoretical result

Viviani bestemmes tangenten til cycloid men han var ikke den første til at lykkes i dette.
Viviani determined the tangent to the cycloid but he was not the first to succeed in this.

Yderligere papirer følges: på maxima og minima i 1726, på cycloid i 1727, og yderligere papirer om kurver i 1727, 1728 og 1729.
Further papers followed: on maxima and minima in 1726, on the cycloid in 1727, and further papers on curves in 1727, 1728 and 1729.

Vi kan konstatere, at Mersenne henvist til cycloid som"roulette", men udtrykket cycloid blev vedtaget senere.
We note that Mersenne referred to the cycloid as the'roulette' but the term cycloid was adopted later.

Han erklærede(se), at den gunstige tilfælde svarer:… til området af en del af cycloid hvis genererer cirkel har en diameter svarende til længden på kanylen.
He stated(see) that the favourable cases correspond:… to the area of part of the cycloid whose generating circle has diameter equal to the length of the needle.

Det var i denne periode af sit liv, at han troede at have opdaget cycloid- en geometrisk kurven.
It was during this period of his life that he is thought to have discovered the cycloid- a geometric curve.

Der er ingen tvivl om, at disse to store matematikere havde gjort lignende opdagelser om cycloid men hverken var blevet påvirket af de andres ideer.
There can be no doubt that these two great mathematicians had made similar discoveries about the cycloid but neither had been influenced by the other's ideas.

finder evolutes af cycloid og af parabola.
finds the evolutes of the cycloid and of the parabola.

Hans studier førte til en doktorgrad, som han modtog fra universitetet i Basel i 1849 for en afhandling om cycloid.
His course of studies led to a doctorate which he received from the University of Basel in 1849 for a dissertation on the cycloid.

hans talent blev hurtigt anerkendt af Mersenne der tilskyndede ham til at arbejde på cycloid.
his talent was soon recognised by Mersenne who encouraged him to work on the cycloid.

Hans arbejde på pendulet var relateret til andre matematiske arbejde, som han havde gjort på cycloid som et resultat af udfordringen ved Pascal.
His work on the pendulum was related to other mathematical work which he had been doing on the cycloid as a result of the challenge by Pascal.

Denne bog blev skrevet på grund af striden om cycloid som opstod fra Pascal's udfordring.
This book was written because of the controversy about the cycloid which arose from Pascal 's challenge.

Han anvendes Cavalieri's calculus af indivisibles på problemet af området med nogen segment af cycloid og tyngdepunkt enhver segment.
He applied Cavalieri 's calculus of indivisibles to the problem of the area of any segment of the cycloid and the centre of gravity of any segment.

argumentet mellem Torricelli og Roberval om cycloid, og i 1646 Torricelli begyndte at samle sammen korrespondance, der havde bestået mellem de to om emnet.
Roberval concerning the cycloid, and in 1646 Torricelli began gathering together the correspondence which had passed between the two on the topic.