Add to ORKGIn this paper, Euler investigates a differential equation that he encountered in finding the arc length of an ellipse. This differential equation cannot be solved by separation of variables, as is indicated in the title of the article. Euler first develops a formula for the arc length of an ellipse by cleverly manipulating a binomial series, then shows that this formula satisfies the desired differential equation. Integrating factors make a brief appearance
We examine the mathematical and historical context of Leonhard Euler’s first paper on Diophantine Eq...
Currently in Brazil students learn the concepts of Differential and Integral Calculus for the first ...
This talk will tell the story of how a geometry problem of Diophantus led all the way to a paper of ...
This article contains Euler\u27s first published use of complex numbers and a many-axis geometric co...
Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numb...
The beautiful Euler spiral, defined by the linear relationship between curvature and arclength, was ...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Copyright c © 2013 Brian J. McCartin. This is an open access article distributed under the Creative ...
A formula for the area of a cyclic quadrilateral in terms of its sides was first stated without proo...
This work was an independent research project done for Math 392 and awarded Honors in Independent St...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Response to the article “Stacking Ellipses” by Richard E. Pfiefer in The College Mathematics Journal...
International audienceTo solve differential equations and study transcendental curves appearing in p...
This article arose out of a homework assignment that Euler did for Johann Bernoulli. Bernoulli asked...
Recently, the authors completed a study of the Davenport angles, which are a generalization of the E...
We examine the mathematical and historical context of Leonhard Euler’s first paper on Diophantine Eq...
Currently in Brazil students learn the concepts of Differential and Integral Calculus for the first ...
This talk will tell the story of how a geometry problem of Diophantus led all the way to a paper of ...
This article contains Euler\u27s first published use of complex numbers and a many-axis geometric co...
Euler searches for integer solutions to axx+bx+c=yy and considers some applications to figurate numb...
The beautiful Euler spiral, defined by the linear relationship between curvature and arclength, was ...
This paper begins with an expression of the trapezoid rule for formal mechanical quadrature. Euler...
Copyright c © 2013 Brian J. McCartin. This is an open access article distributed under the Creative ...
A formula for the area of a cyclic quadrilateral in terms of its sides was first stated without proo...
This work was an independent research project done for Math 392 and awarded Honors in Independent St...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Response to the article “Stacking Ellipses” by Richard E. Pfiefer in The College Mathematics Journal...
International audienceTo solve differential equations and study transcendental curves appearing in p...
This article arose out of a homework assignment that Euler did for Johann Bernoulli. Bernoulli asked...
Recently, the authors completed a study of the Davenport angles, which are a generalization of the E...
We examine the mathematical and historical context of Leonhard Euler’s first paper on Diophantine Eq...
Currently in Brazil students learn the concepts of Differential and Integral Calculus for the first ...
This talk will tell the story of how a geometry problem of Diophantus led all the way to a paper of ...