\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016c.00762}
\itemau{Choate, Jon}
\itemti{Circles and parabolas in 3-space.}
\itemso{Consortium 109, 1-3 (2015).}
\itemab
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 3-space? 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.
\itemrv{~}
\itemcc{G70 U70}
\itemut{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}
\itemli{}
\end