It seems well known that the incenter of a triangle lies on the the Euler line if and only if the triangle is isosceles (or equilateral, but that is trivial). Searching the internet, I could not fi...

From wiki, I know that Euler angles are used to represent the rotation from three axes independently, which seems like pitch, roll and yaw. But from this wiki, it seems that they are …

Extrinsic and intrinsic Euler angles to rotation matrix and back Ask Question Asked 10 years, 6 months ago Modified 9 years, 4 months ago

Well, to check that it's prime for $-39 \leq n \leq 40$, there's probably no better method than to just check the numbers for primality individually. Euler had access to a table of small primes, so he …

The intersection of the two midplanes (a 3D line) gives the Euler axis direction. Construct a plane thru the origin orthogonal to the Euler axis. Project any of the "before-after" pairs onto direction …

Conditions where Euler's method over-estimates or under-estimates Ask Question Asked 11 years, 4 months ago Modified 5 years, 6 months ago

4 Regarding the second question, the revised form of Euler's identity using $\tau$ conveys strictly less information than the original identity, and still suffers from an unnatural choice of square …

Well, the Euler class exists as an obstruction, as with most of these cohomology classes. It measures "how twisted" the vector bundle is, which is detected by a failure to be able to …

Another option is a backward Euler approximation ($\dot {x} (kT_s)\approx\frac {1} {T_s} (x_k-x_ {k-1})$). The problem is that these discretizations do not necessarily preserve stability.

I think you would first have to transform your second order ODE into two first order ODE's, then proceed to apply Euler's method to both equations simultaneously.