\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016e.00738}
\itemau{Choate, Jon}
\itemti{Angle bisectors: an algebraic approach.}
\itemso{Consortium 110, 1-2 (2016).}
\itemab
From the text: In algebra courses students are often taught several different forms for linear equations, the slope-intercept form $y=mx+b$, the point-slope form $y-y_1=m(x-x_1)$, and the standard form $ax+by+c=0$. I would like to add a fourth form, the normal form $ax+by+c=0$ with $\sqrt{a^2+b^2}=1$. The rest of this article will use this form and some of the vector algebra that is taught in an upper level pre-calculus course to find the equations of angle bisectors and planes that bisect dihedral angles.
\itemrv{~}
\itemcc{G70}
\itemut{analytic geometry; equations of straight lines; linear equations; normal form; angle bisectors; vectors; triangle incenter; coordinates; parametric equations; rhombus; 2-space; 3-space; equations of planes; tetrahedral; bisecting planes; in-spheres; cross products}
\itemli{}
\end