Corrected errors in chapter 16-22

main.tex

@@ -106,6 +106,7 @@ The source can be found on \texttt{\url{https://git.kjodle.net/kjodle/Flatland}}
 \newpage \ \newpage
 
 
+
 \chapter*{Dedication}
 
 \begin{center}
@@ -2339,7 +2340,7 @@ children and household?
 humble servant might be easily ascertained by any one of the neighbourhood
 possessing your Lordship's ample means of information.
 
-\textit{Stranger}. (To himself.) What must I do? Stay; one more argument suggests
+\textit{Stranger}. (\textit{To himself}.) What must I do? Stay; one more argument suggests
 itself to me. When you see a Straight Line --- your wife, for example --- how many
 Dimensions do you attribute to her?
 
@@ -2354,7 +2355,7 @@ thickness).
 \textit{Stranger}. But the very fact that a Line is visible implies that it possesses
 yet another Dimension.
 
-\textit{I}. My Lord, I have just acknowledge that a Woman is broad as well as long. We
+\textit{I}. My Lord, I have just acknowledged that a Woman is broad as well as long. We
 see her length, we infer her breadth; which, though very slight, is capable of
 measurement.
 
@@ -2379,7 +2380,7 @@ measurement. Do but measure my ``height,'' or merely indicate to me the
 direction in which my ``height'' extends, and I will become your convert.
 Otherwise, your Lordship's own understanding must hold me excused.
 
-\textit{Stranger}. (To himself.) I can do neither. How shall I convince him? Surely a
+\textit{Stranger}. (\textit{To himself}.) I can do neither. How shall I convince him? Surely a
 plain statement of facts followed by ocular demonstration ought to suffice. ---
 Now, Sir; listen to me.
 
@@ -2566,7 +2567,7 @@ of accounts. I am about to descend into that cupboard and to bring you one of
 those tablets. I saw you lock the cupboard half an hour ago, and I know you
 have the key in your possession. But I descend from Space; the doors, you see,
 remain unmoved. Now I am in the cupboard and am taking the tablet. Now I have
-it. Now I ascent with it.
+it. Now I ascend with it.
 
 I rushed to the closet and dashed the door open. One of the tablets was gone.
 With a mocking laugh, the Stranger appeared in the other corner of the room,
@@ -2649,7 +2650,7 @@ ideal of consummate loveliness and wisdom that I see thy inside, and yet
 cannot discern thy heart, thy lungs, thy arteries, thy liver?'' ``What you think
 you see, you see not,'' he replied; ``it is not giving to you, nor to any other
 Being, to behold my internal parts. I am of a different order of Beings from
-those in Flatland. Where I a Circle, you could discern my intestines, but I am
+those in Flatland. Were I a Circle, you could discern my intestines, but I am
 a Being, composed as I told you before, of many Circles, the Many in the One,
 called in this country a Sphere. And, just as the outside of a Cube is a
 Square, so the outside of a Sphere represents the appearance of a Circle.''
@@ -2698,8 +2699,8 @@ hills, were bared before me.
 Awestruck at the sight of the mysteries of the earth, thus unveiled before my
 unworthy eye, I said to my Companion, ``Behold, I am become as a God. For the
 wise men in our country say that to see all things, or as they express it,
-omnividence, is the attribute of God alone.'' There was something of scorn in
-the voice of my Teacher as he made answer: ``it is so indeed? Then the very
+\textit{omnividence}, is the attribute of God alone.'' There was something of scorn in
+the voice of my Teacher as he made answer: ``Is it so indeed? Then the very
 pick-pockets and cut-throats of my country are to be worshipped by your wise
 men as being Gods: for there is not one of them that does not see as much as
 you see now. But trust me, your wise men are wrong.''
@@ -2986,7 +2987,7 @@ of doors or windows, and appearing and vanishing at will? On the reply to this
 question I am ready to stake everything. Deny it, and I am henceforth silent.
 Only vouchsafe an answer.
 
-\textit{Sphere} (after a pause). It is reported so. But men are divided in opinion as
+\textit{Sphere} (\textit{after a pause}). It is reported so. But men are divided in opinion as
 to the facts. And even granting the facts, they explain them in different
 ways. And in any case, however great may be the number of different
 explanations, no one has adopted or suggested the theory of a Fourth
@@ -3000,7 +3001,7 @@ have returned --- no one knows whither --- have they also contracted their
 sections and vanished somehow into that more Spacious Space, whither I now
 entreat you to conduct me?
 
-\textit{Sphere} (moodily). They have vanished, certainly --- if they ever appeared. But
+\textit{Sphere} (\textit{moodily}). They have vanished, certainly --- if they ever appeared. But
 most people say that these visions arose from the thought --- you will not
 understand me --- from the brain; from the perturbed angularity of the Seer.
 
@@ -3142,7 +3143,7 @@ Pupil. Then he proceeded to initiate me into mysteries yet higher than those I
 had witnessed, shewing me how to construct Extra-Solids by the motion of
 Solids, and Double Extra-Solids by the motion of Extra-Solids, and all
 ``strictly according to Analogy,'' all by methods so simple, so easy, as to be
-patent even to the Female Sex.?
+patent even to the Female Sex.
 
 
 
@@ -3176,7 +3177,7 @@ mean reputation, but not great in mathematics, and, in that respect, unfit for
 my purpose. But it occurred to me that a young and docile Hexagon, with a
 mathematical turn, would be a most suitable pupil. Why therefore not make my
 first experiment with my little precocious Grandson, whose casual remarks on
-the meaning of three-to-the-third had met with the approval of the Sphere?
+the meaning of $ 3^3 $ had met with the approval of the Sphere?
 Discussing the matter with him, a mere boy, I should be in perfect safety; for
 he would know nothing of the Proclamation of the Council; whereas I could not
 feel sure that my Sons --- so greatly did their patriotism and reverence for the
@@ -3360,7 +3361,7 @@ Some Dimension, and may stir up a race of rebels who shall refuse to be
 confined to limited Dimensionality.
 
 That is the hope of my brighter moments. Alas, it is
-not always so. Heavily weights on me at times the burdensome reflection that I
+not always so. Heavily weighs on me at times the burdensome reflection that I
 cannot honestly say I am confident as to the exact shape of the once-seen,
 oft-regretted Cube; and in my nightly visions the mysterious precept, ``Upward,
 not Northward,'' haunts me like a soul-devouring Sphinx. It is part of the