Convert "Travellers" to typst

This commit is contained in:
Mark 2025-01-22 21:19:47 -08:00
parent 91445cf79e
commit c83680d199
Signed by: Mark
GPG Key ID: C6D63995FE72FD80
2 changed files with 26 additions and 30 deletions

View File

@ -1,30 +0,0 @@
\documentclass[
solutions,
singlenumbering,
nopagenumber
]{../../../lib/tex/ormc_handout}
\usepackage{../../../lib/tex/macros}
\title{Warm-Up: Travellers}
\uptitler{\smallurl{}}
\subtitle{Prepared by Mark on \today}
\begin{document}
\maketitle
\problem{}
Four travellers are on a plane, each moving along a straight line at an arbitrary constant speed. \par
No two of their paths are parallel, and no three intersect at the same point. \par
We know that traveller A has met travelers B, C, and D, \par
and that traveller B has met C and D (and A). Show that C and D must also have met. \par
\begin{solution}
When a body travels at a constant speed, its graph with respect to time is a straight line. \par
So, we add time axis in the third dimension, perpendicular to our plane. \par
Naturally, the projection of each of these onto the plane corresponds to a road.
Now, note that two intersecting lines define a plane and use the conditions in the problem to show that no two lines are parallel.
\end{solution}
\end{document}

View File

@ -0,0 +1,26 @@
#import "@local/handout:0.1.0": *
#show: doc => handout(
doc,
quarter: link(
"https://betalupi.com/handouts",
"betalupi.com/handouts",
),
title: [Warm-Up: Travellers],
by: "Mark",
)
#problem()
Four travellers are on a plane, each moving along a straight line at an arbitrary constant speed. \
No two of their paths are parallel, and no three intersect at the same point. \
We know that traveller A has met travelers B, C, and D, \
and that traveller B has met C and D (and A). Show that C and D must also have met.
#solution([
When a body travels at a constant speed, its graph with respect to time is a straight line. \
So, we add time axis in the third dimension, perpendicular to our plane. \
Naturally, the projection of each of these onto the plane corresponds to a road.
Now, note that two intersecting lines define a plane and use the conditions in the problem to show that no two lines are parallel.
])