Assertion: ellipse's center | /r/HasProperty | the origin
Facets:
value: in this system
type: LOCATION
value: for simplicity
type: PURPOSE
Source sentences:
text: For the direction of proof given that the points are on an ellipse, one can assume that the center of the ellipse is the origin.
text: If for simplicity the center of the ellipsoid is the origin, i.e. f → 0 = [ 0 0 0 ] T {\displaystyle {\vec {f}}_{0}={\begin{bmatrix}0&0&0\end{bmatrix}}^{\mathsf {T}}} , the following equation describes the ellipsoid above:
text: In this system, the center is the origin and the foci are and .
text: These variations are categorized first by the location of the center (the origin or not the origin), and then by the position (horizontal or vertical).
text: These variations are categorized first by the location of the center (the origin or not the origin), and then by the position (horizontal or vertical).
text: These variations are categorized first by the location of the center (the origin or not the origin), and then by the position (horizontal or vertical).
text: In particular, if the center of the ellipse is the origin this simplifies to .
text: In this system, the center is the origin