\renewcommand{\thesection}{\alph{section}.}
%\renewcommand{\thesection}{}
+\usepackage{ucs}
\usepackage[utf8x]{inputenc}
+% Declare "longrightarrow" as "rightarrow" as the fomer never renders well.
+\DeclareUnicodeCharacter{10230}{→}
+
\begin{document}
%\gtitle{Relativity: The Special and General Theory}
"Your definition would certainly be right, if only I knew that the
light by means of which the observer at M perceives the lightning
-flashes travels along the length A~$\longrightarrow$~M with the same velocity as
-along the length B~$\longrightarrow$~M. But an examination of this supposition
+flashes travels along the length A⟶M with the same velocity as
+along the length B⟶M. But an examination of this supposition
would only be possible if we already had at our disposal the means of
measuring time. It would thus appear as though we were moving here in
a logical circle."
case it must supply us with an empirical decision as to whether or not
the conception that has to be defined is fulfilled. That my definition
satisfies this demand is indisputable. That light requires the same
-time to traverse the path A~$\longrightarrow$~M as for the path B~$\longrightarrow$~M is in
+time to traverse the path A⟶M as for the path B⟶M is in
reality neither a supposition nor a hypothesis about the physical
nature of light, but a stipulation which I can make of my own freewill
in order to arrive at a definition of simultaneity."
When we say that the lightning strokes A and B are simultaneous with
respect to be embankment, we mean: the rays of light emitted at the
places A and B, where the lightning occurs, meet each other at the
-mid-point M of the length A $\longrightarrow$ B of the embankment. But the events
+mid-point M of the length A⟶B of the embankment. But the events
A and B also correspond to positions A and B on the train. Let M$'$ be
-the mid-point of the distance A $\longrightarrow$ B on the travelling train. Just
+the mid-point of the distance A⟶B on the travelling train. Just
when the flashes (as judged from the embankment) of lightning occur,
this point M$'$ naturally coincides with the point M but it moves
towards the right in the diagram with the velocity v of the train. If