
06560922
j
2016c.00762
Choate, Jon
Circles and parabolas in 3space.
Consortium 109, 13 (2015).
2015
COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
EN
G70
U70
solid geometry
analytic geometry
vector geometry
geometry software
equations of circles
equations of parabolas
3D geometry
coordinates
parameters
parametric equations
geometric constructions
intersections
3D curves
visualization
From the text: This edition's Geometer's Corner had its genesis with a question and a discovery. The question: How do you find the equations for circles and parabolas in 3space? The discovery: GeoGebra 5, the latest GeoGebra update, now has a 3D component that allows you to define and plot curves and surfaces parametrically using the command Curve $\langle$\,Expression\,$\rangle$, $\langle$\,Expression\,$\rangle$, $\langle$\,Expression\,$\rangle$, $\langle$\,Parameter Variable\,$\rangle$, $\langle$\,Start Value\,$\rangle$, $\langle$\,End Value\,$\rangle$. Curves can also be defined constructively using a variety of tools that appear in the MENU bar. There is an Input Window where one can enter points, vectors, and implicit definitions of surfaces such as planes. Any time a curve is defined either by entry or by construction, relevant information about it appears in the Algebra Window.