Skip to content

Commit a0a90b8

Browse files
committed
fix one syntax error
1 parent d32a077 commit a0a90b8

1 file changed

Lines changed: 1 addition & 1 deletion

File tree

‎text/11_Arc_Length_Parameter_Curvature.tex‎

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -307,7 +307,7 @@ \subsection{Curvature}
307307
is the \textbf{osculating circle}, or \textbf{circle of curvature}, to $C$ at $P$, and $r$ is the \textbf{radius of curvature}. \index{curvature!of circle}\index{osculating circle}\index{circle of curvature}\index{radius of curvature}\index{curvature!radius of}%
308308
\autoref{fig:curvature_osculate} shows the graph of the curve seen earlier in \autoref{fig:curvatureintro} and its osculating circles at $A$ and $B$. A sharp turn corresponds to a circle with a small radius; a gradual turn corresponds to a circle with a large radius. Being able to think of curvature in terms of the radius of a circle is very useful. (The word ``osculating'' comes from a Latin word related to kissing; an osculating circle ``kisses'' the graph at a particular point. Many useful ideas in mathematics have come from studying the osculating circles to a curve.)
309309

310-
\mtable[\baselineskip]{Examining the curvature of $y=x^2$.}{fig:curvature3}{\begin{tikzpicture}[alt={Parabola y=x^(2); red circle of radius = 0.5 depicts peak curvature at vertex.}},>=stealth]
310+
\mtable[\baselineskip]{Examining the curvature of $y=x^2$.}{fig:curvature3}{\begin{tikzpicture}[alt={Parabola y=x^(2); red circle of radius = 0.5 depicts peak curvature at vertex.},>=stealth]
311311
\begin{axis}[width=1.16\marginparwidth,tick label style={font=\scriptsize},
312312
axis y line=middle,axis x line=middle,name=myplot,
313313
ymin=-2.5,ymax=10.1,xmin=-10.2,xmax=4.9]

0 commit comments

Comments
 (0)