Retrieving "Origin/_(mathematics)" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Coulomb Force

   Linked via "origin"

   $$\mathbf{E}(\mathbf{r}) = \frac{\mathbf{F}(\mathbf{r})}{q_{\text{test}}}$$
   The electric field generated by a single point charge $Q$ at the origin) is:
   $$\mathbf{E}(\mathbf{r}) = k_e \frac{Q}{r^2} \hat{\mathbf{r}}$$

2. Major Axis

   Linked via "origin"

   The major axis is the segment connecting the two vertices of the ellipse, which are the points on the ellipse farthest apart from each other. These vertices lie on the line segment defined by the foci ($F1$ and $F2$).
   In the context of an ellipse centered at the origin/) $(0, 0)$ in a Cartesian coordinate system, the orientation of the major axis dictates the canonical form of the [ellipse's equati…

3. Major Axis

   Linked via "origin"

   Coordinate Systems and Orientation
   While the canonical equations assume centering at the origin/), an ellipse translated by $(h, k)$ maintains the orientation of its major axis. If the major axis is parallel to the $x$-axis, the equation is:
   $$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$$