How do I get this descriptive list aligned nicely?
up vote
5
down vote
favorite
I have worked out an exercise consisting of multiple parts in LaTeX, as a descriptive list consisting of part a, b and c. However, it aligns in a very weird way and I can't get it to look better. Is there anything I can try to align everything nicely?
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
title{Homework Symmetry}
date{Quartile 2, Week 1}
author{Benjamin Caris, Luuk Reijnders, Tom Jacobs}
begin{document}
maketitle
pagebreak
section*{Excercise 2.6}
begin{description}
item[a)]{$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item[b)]{Symmetry line}
item[c)]{$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{description}
end{document}
Thanks in advance!
lists description alignment
New contributor
add a comment |
up vote
5
down vote
favorite
I have worked out an exercise consisting of multiple parts in LaTeX, as a descriptive list consisting of part a, b and c. However, it aligns in a very weird way and I can't get it to look better. Is there anything I can try to align everything nicely?
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
title{Homework Symmetry}
date{Quartile 2, Week 1}
author{Benjamin Caris, Luuk Reijnders, Tom Jacobs}
begin{document}
maketitle
pagebreak
section*{Excercise 2.6}
begin{description}
item[a)]{$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item[b)]{Symmetry line}
item[c)]{$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{description}
end{document}
Thanks in advance!
lists description alignment
New contributor
Welcome to TeX SX! Please post a full compilable code.
– Bernard
Nov 14 at 20:58
@Bernard you mean, the whole document?
– Benjamin Caris
Nov 14 at 20:59
No, but the minimal code to make it compile without errors, not just a snippet.
– Bernard
Nov 14 at 21:00
@Bernard alright, should be good now
– Benjamin Caris
Nov 14 at 21:01
add a comment |
up vote
5
down vote
favorite
up vote
5
down vote
favorite
I have worked out an exercise consisting of multiple parts in LaTeX, as a descriptive list consisting of part a, b and c. However, it aligns in a very weird way and I can't get it to look better. Is there anything I can try to align everything nicely?
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
title{Homework Symmetry}
date{Quartile 2, Week 1}
author{Benjamin Caris, Luuk Reijnders, Tom Jacobs}
begin{document}
maketitle
pagebreak
section*{Excercise 2.6}
begin{description}
item[a)]{$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item[b)]{Symmetry line}
item[c)]{$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{description}
end{document}
Thanks in advance!
lists description alignment
New contributor
I have worked out an exercise consisting of multiple parts in LaTeX, as a descriptive list consisting of part a, b and c. However, it aligns in a very weird way and I can't get it to look better. Is there anything I can try to align everything nicely?
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
title{Homework Symmetry}
date{Quartile 2, Week 1}
author{Benjamin Caris, Luuk Reijnders, Tom Jacobs}
begin{document}
maketitle
pagebreak
section*{Excercise 2.6}
begin{description}
item[a)]{$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item[b)]{Symmetry line}
item[c)]{$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{description}
end{document}
Thanks in advance!
lists description alignment
lists description alignment
New contributor
New contributor
edited Nov 14 at 21:01
New contributor
asked Nov 14 at 20:54
Benjamin Caris
284
284
New contributor
New contributor
Welcome to TeX SX! Please post a full compilable code.
– Bernard
Nov 14 at 20:58
@Bernard you mean, the whole document?
– Benjamin Caris
Nov 14 at 20:59
No, but the minimal code to make it compile without errors, not just a snippet.
– Bernard
Nov 14 at 21:00
@Bernard alright, should be good now
– Benjamin Caris
Nov 14 at 21:01
add a comment |
Welcome to TeX SX! Please post a full compilable code.
– Bernard
Nov 14 at 20:58
@Bernard you mean, the whole document?
– Benjamin Caris
Nov 14 at 20:59
No, but the minimal code to make it compile without errors, not just a snippet.
– Bernard
Nov 14 at 21:00
@Bernard alright, should be good now
– Benjamin Caris
Nov 14 at 21:01
Welcome to TeX SX! Please post a full compilable code.
– Bernard
Nov 14 at 20:58
Welcome to TeX SX! Please post a full compilable code.
– Bernard
Nov 14 at 20:58
@Bernard you mean, the whole document?
– Benjamin Caris
Nov 14 at 20:59
@Bernard you mean, the whole document?
– Benjamin Caris
Nov 14 at 20:59
No, but the minimal code to make it compile without errors, not just a snippet.
– Bernard
Nov 14 at 21:00
No, but the minimal code to make it compile without errors, not just a snippet.
– Bernard
Nov 14 at 21:00
@Bernard alright, should be good now
– Benjamin Caris
Nov 14 at 21:01
@Bernard alright, should be good now
– Benjamin Caris
Nov 14 at 21:01
add a comment |
2 Answers
2
active
oldest
votes
up vote
3
down vote
accepted
With the enumitem
package ane an enumerate
environment instead of the description
you can get the following:
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
usepackage{enumitem}
begin{document}
section*{Excercise 2.6}
begin{enumerate}[label=textbf{alph*)}]
item {$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item {Symmetry line}
item {$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{enumerate}
end{document}
Further information on how the indentation of the label and the distance between label and text can be changed, are described here: can someone please explain the enumitem horizontal spacing parameters?
add a comment |
up vote
2
down vote
You'd better do that with an enumerate
environment, which you can customise with package enumitem
.
Unrelated: a4wide
is obsolete and shouldn't be used anymore, according to 2tabu`.
documentclass[11pt]{article}
usepackage[showframe]{geometry}
usepackage{enumitem}
begin{document}
section*{Exercise 2.6}
begin{enumerate}[label =alph*), font=bfseries, wide=0pt, leftmargin=*]
item $d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.
item Symmetry line
item $taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.
end{enumerate}
end{document}
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
It's been deprecated for many years. Read §1.1 inl2tabu
, which sets it in themortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with thea4paper
class option, and anyway, you can customise the parameters withgeometry
ery easily.
– Bernard
Nov 14 at 21:29
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
With the enumitem
package ane an enumerate
environment instead of the description
you can get the following:
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
usepackage{enumitem}
begin{document}
section*{Excercise 2.6}
begin{enumerate}[label=textbf{alph*)}]
item {$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item {Symmetry line}
item {$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{enumerate}
end{document}
Further information on how the indentation of the label and the distance between label and text can be changed, are described here: can someone please explain the enumitem horizontal spacing parameters?
add a comment |
up vote
3
down vote
accepted
With the enumitem
package ane an enumerate
environment instead of the description
you can get the following:
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
usepackage{enumitem}
begin{document}
section*{Excercise 2.6}
begin{enumerate}[label=textbf{alph*)}]
item {$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item {Symmetry line}
item {$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{enumerate}
end{document}
Further information on how the indentation of the label and the distance between label and text can be changed, are described here: can someone please explain the enumitem horizontal spacing parameters?
add a comment |
up vote
3
down vote
accepted
up vote
3
down vote
accepted
With the enumitem
package ane an enumerate
environment instead of the description
you can get the following:
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
usepackage{enumitem}
begin{document}
section*{Excercise 2.6}
begin{enumerate}[label=textbf{alph*)}]
item {$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item {Symmetry line}
item {$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{enumerate}
end{document}
Further information on how the indentation of the label and the distance between label and text can be changed, are described here: can someone please explain the enumitem horizontal spacing parameters?
With the enumitem
package ane an enumerate
environment instead of the description
you can get the following:
documentclass[a4paper, 11pt]{article}
usepackage[english]{babel}
usepackage{amsmath}
usepackage{a4wide}
usepackage{enumitem}
begin{document}
section*{Excercise 2.6}
begin{enumerate}[label=textbf{alph*)}]
item {$d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.}
item {Symmetry line}
item {$taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.}
end{enumerate}
end{document}
Further information on how the indentation of the label and the distance between label and text can be changed, are described here: can someone please explain the enumitem horizontal spacing parameters?
edited Nov 14 at 21:16
answered Nov 14 at 21:09
leandriis
7,6721528
7,6721528
add a comment |
add a comment |
up vote
2
down vote
You'd better do that with an enumerate
environment, which you can customise with package enumitem
.
Unrelated: a4wide
is obsolete and shouldn't be used anymore, according to 2tabu`.
documentclass[11pt]{article}
usepackage[showframe]{geometry}
usepackage{enumitem}
begin{document}
section*{Exercise 2.6}
begin{enumerate}[label =alph*), font=bfseries, wide=0pt, leftmargin=*]
item $d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.
item Symmetry line
item $taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.
end{enumerate}
end{document}
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
It's been deprecated for many years. Read §1.1 inl2tabu
, which sets it in themortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with thea4paper
class option, and anyway, you can customise the parameters withgeometry
ery easily.
– Bernard
Nov 14 at 21:29
add a comment |
up vote
2
down vote
You'd better do that with an enumerate
environment, which you can customise with package enumitem
.
Unrelated: a4wide
is obsolete and shouldn't be used anymore, according to 2tabu`.
documentclass[11pt]{article}
usepackage[showframe]{geometry}
usepackage{enumitem}
begin{document}
section*{Exercise 2.6}
begin{enumerate}[label =alph*), font=bfseries, wide=0pt, leftmargin=*]
item $d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.
item Symmetry line
item $taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.
end{enumerate}
end{document}
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
It's been deprecated for many years. Read §1.1 inl2tabu
, which sets it in themortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with thea4paper
class option, and anyway, you can customise the parameters withgeometry
ery easily.
– Bernard
Nov 14 at 21:29
add a comment |
up vote
2
down vote
up vote
2
down vote
You'd better do that with an enumerate
environment, which you can customise with package enumitem
.
Unrelated: a4wide
is obsolete and shouldn't be used anymore, according to 2tabu`.
documentclass[11pt]{article}
usepackage[showframe]{geometry}
usepackage{enumitem}
begin{document}
section*{Exercise 2.6}
begin{enumerate}[label =alph*), font=bfseries, wide=0pt, leftmargin=*]
item $d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.
item Symmetry line
item $taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.
end{enumerate}
end{document}
You'd better do that with an enumerate
environment, which you can customise with package enumitem
.
Unrelated: a4wide
is obsolete and shouldn't be used anymore, according to 2tabu`.
documentclass[11pt]{article}
usepackage[showframe]{geometry}
usepackage{enumitem}
begin{document}
section*{Exercise 2.6}
begin{enumerate}[label =alph*), font=bfseries, wide=0pt, leftmargin=*]
item $d(sigma(A),sigma(P)) = d(A, P)$, since $sigma$ is a symmetry.
Furthermore, since $sigma(A) = A$, we have $d(sigma(A),sigma(P)) =
d(A,sigma(P))$. From these 2 observations we clearly see that $d(sigma(A),
sigma(P)) = d(A,sigma(P)) = d(A, P)$. So $d(A,sigma(P)) = d(A, P)$, hence
we
can conclude that $A$ is on the perpendicular bisector of the line segment
$Psigma(P)$.
item Symmetry line
item $taucircsigma(A) = tau(sigma(A)) = tau(A)$ since $sigma(A)
=
A$. Since $A$ is on the line $AB$, reflection of $A$ in $AB$ again gives
$A$, so
$tau(A) = A$, hence $taucircsigma(A) = A$ and $taucircsigma$ fixes
$A$.
Analogously, we find for $B$ that $taucircsigma(B) = B$ and therefore
that
$taucircsigma$ also fixes $B$ (since $sigma(B) = B$ and $B$ is on $AB$).
For
$C$ we have $taucircsigma(C) = tau(sigma(C))$. $sigma(C)neq C$, but
since
$sigma$ is a reflection in $AB$ and $tau$ is again a reflection in $AB$,
$tau(sigma(C))$ is just the inverse of the reflection $sigma(C)$. So
$tau(sigma(C)) = C$, hence $taucircsigma$ also fixes C. Because
$taucircsigma$ fixes $A$, $B$ and $C$, $taucircsigma$ is the identity.
Furthermore, since $tau$ is the inverse of $sigma$, $sigma = tau$.
end{enumerate}
end{document}
answered Nov 14 at 21:15
Bernard
162k767192
162k767192
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
It's been deprecated for many years. Read §1.1 inl2tabu
, which sets it in themortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with thea4paper
class option, and anyway, you can customise the parameters withgeometry
ery easily.
– Bernard
Nov 14 at 21:29
add a comment |
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
It's been deprecated for many years. Read §1.1 inl2tabu
, which sets it in themortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with thea4paper
class option, and anyway, you can customise the parameters withgeometry
ery easily.
– Bernard
Nov 14 at 21:29
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
Thanks, that looks a lot better! Why shouldn't I use a4wide? I have only recently started working with LaTeX and at the beginners course at my university they showed us some packages which one should always use. One of those was a4wide. Now I'm curious for the reason why it is obsolete now.
– Benjamin Caris
Nov 14 at 21:19
It's been deprecated for many years. Read §1.1 in
l2tabu
, which sets it in the mortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with the a4paper
class option, and anyway, you can customise the parameters with geometry
ery easily.– Bernard
Nov 14 at 21:29
It's been deprecated for many years. Read §1.1 in
l2tabu
, which sets it in the mortal sin
category. The original is in german, and there are english, french and italian translations. To sum up its conclusions, in standard classes, it's replaced with the a4paper
class option, and anyway, you can customise the parameters with geometry
ery easily.– Bernard
Nov 14 at 21:29
add a comment |
Benjamin Caris is a new contributor. Be nice, and check out our Code of Conduct.
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– Bernard
Nov 14 at 20:58
@Bernard you mean, the whole document?
– Benjamin Caris
Nov 14 at 20:59
No, but the minimal code to make it compile without errors, not just a snippet.
– Bernard
Nov 14 at 21:00
@Bernard alright, should be good now
– Benjamin Caris
Nov 14 at 21:01