but also for circumcenter, centroid, and excenter, we had similar procedure.
Table 2-1] Other centers of tetrahedron Position in Position in Centers 2D Geometry 3D Geometry Circumcenter A point where three A point where perpendicular bisectors perpendicular bisecting intersect planes intersect Centroid A point where three A point where median medians intersect planes (Planes with a edge and its opposite edge's middle point) intersect Excenter A point where exterior A point where exterior angle bisectors intersect dihedral-bisecting planes intersect Centers Property Circumcenter Becomes the center of the circumcircle and the circumsphere, respectively Centroid Divides the line which connects a point and the opposite planes' centroid as 2:1, 3:1 respectively Excenter Becomes the center of the excircle and the exosphere, respectively
where [theta] is the eccentric variable or the angle that a positive semi straight line, revolving around the excenter S(s, [epsilon]) - or solar point, (Kepler affirmed that planets rotate around the Sun on circular orbits, but the Sun is not in the center of the orbits)--it makes it with Ox axis , , , and [alpha] is the centric variable or the circular arc, of the unity circle, from the origin of the arc A(1, 0) to a current point on circle W(1, [alpha]) [equivalent to] W(r = rex[theta], [theta]) the unitary eccentricity is s = e/R, or the distance between S and O, and excenter S or E are ejected from the center O on the [epsilon]direction.
It can be observed, in the same time with the increase of the numerical eccentricity value s, the functions existence domain becomes restricted to the interval where a line, revolving from the excenter S(s; [epsilon]), external to unity circle, intersects the unity circle.
the eccentrical variable: t [equivalent to] [theta](mod2[pi]) such that, for the excenter S going, on the x axis ([epsilon] = 0), to infinite (s [right arrow] [infinity]), the domainI goes to zero (I [right arrow] 0).
The excenter and teleconverter are optional from Baader but are included when the prominence coronagraph is purchased from Astro-Physics.
At this magnification it was essential to use the excenter device to move the Sun's limb to the center of the field of view.