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Adjusted formatting of dialogue attribution in chapters 16 and 17

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Kenneth John Odle 2023-06-23 13:18:56 -04:00
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@ -2262,54 +2262,54 @@ humiliation that I, a Square, should have been guilty of the impertinence of
feeling a Circle. It was commenced by the Stranger with some impatience at the feeling a Circle. It was commenced by the Stranger with some impatience at the
lengthiness of my introductory process. lengthiness of my introductory process.
STRANGER. Have you felt me enough by this time? Are you not introduced to me \textit{Stranger}. Have you felt me enough by this time? Are you not introduced to me
yet? yet?
I. Most illustrious Sir, excuse my awkwardness, which arises not from \textit{I}. Most illustrious Sir, excuse my awkwardness, which arises not from
ignorance of the usages of polite society, but from a little surprise and ignorance of the usages of polite society, but from a little surprise and
nervousness, consequent on this somewhat unexpected visit. And I beseech you nervousness, consequent on this somewhat unexpected visit. And I beseech you
to reveal my indiscretion to no one, and especially not to my Wife. But before to reveal my indiscretion to no one, and especially not to my Wife. But before
your Lordship enters into further communications, would he deign to satisfy your Lordship enters into further communications, would he deign to satisfy
the curiosity of one who would gladly know whence his visitor came? the curiosity of one who would gladly know whence his visitor came?
STRANGER. From Space, from Space, Sir: whence else? \textit{Stranger}. From Space, from Space, Sir: whence else?
I. Pardon me, my Lord, but is not your Lordship already in Space, your \textit{I}. Pardon me, my Lord, but is not your Lordship already in Space, your
Lordship and his humble servant, even at this moment? Lordship and his humble servant, even at this moment?
STRANGER. Pooh! what do you know of Space? Define Space. \textit{Stranger}. Pooh! what do you know of Space? Define Space.
I. Space, my Lord, is height and breadth indefinitely prolonged. \textit{I}. Space, my Lord, is height and breadth indefinitely prolonged.
STRANGER. Exactly: you see you do not even know what Space is. You think it is \textit{Stranger}. Exactly: you see you do not even know what Space is. You think it is
of Two Dimensions only; but I have come to announce to you a Third --- height, of Two Dimensions only; but I have come to announce to you a Third --- height,
breadth, and length. breadth, and length.
I. Your Lordship is pleased to be merry. We also speak of length and height, \textit{I}. Your Lordship is pleased to be merry. We also speak of length and height,
or breadth and thickness, thus denoting Two Dimensions by four names. or breadth and thickness, thus denoting Two Dimensions by four names.
STRANGER. But I mean not only three names, but Three Dimensions. \textit{Stranger}. But I mean not only three names, but Three Dimensions.
I. Would your Lordship indicate or explain to me in what direction is the \textit{I}. Would your Lordship indicate or explain to me in what direction is the
Third Dimension, unknown to me? Third Dimension, unknown to me?
STRANGER. I came from it. It is up above and down below. \textit{Stranger}. I came from it. It is up above and down below.
I. My Lord means seemingly that it is Northward and Southward. \textit{I}. My Lord means seemingly that it is Northward and Southward.
STRANGER. I mean nothing of the kind. I mean a direction in which you cannot \textit{Stranger}. I mean nothing of the kind. I mean a direction in which you cannot
look, because you have no eye in your side. look, because you have no eye in your side.
I. Pardon me, my Lord, a moment's inspection will convince your Lordship that \textit{I}. Pardon me, my Lord, a moment's inspection will convince your Lordship that
I have a perfectly luminary at the juncture of my two sides. I have a perfectly luminary at the juncture of my two sides.
Stranger: Yes: but in order to see into Space you ought to have an eye, not on \textit{Stranger}: Yes: but in order to see into Space you ought to have an eye, not on
your Perimeter, but on your side, that is, on what you would probably call your Perimeter, but on your side, that is, on what you would probably call
your inside; but we in Spaceland should call it your side. your inside; but we in Spaceland should call it your side.
I. An eye in my inside! An eye in my stomach! Your Lordship jests. \textit{I}. An eye in my inside! An eye in my stomach! Your Lordship jests.
STRANGER. I am in no jesting humour. I tell you that I come from Space, or, \textit{Stranger}. I am in no jesting humour. I tell you that I come from Space, or,
since you will not understand what Space means, from the Land of Three since you will not understand what Space means, from the Land of Three
Dimensions whence I but lately looked down upon your Plane which you call Dimensions whence I but lately looked down upon your Plane which you call
Space forsooth. From that position of advantage I discerned all that you speak Space forsooth. From that position of advantage I discerned all that you speak
@ -2317,9 +2317,9 @@ of as solid (by which you mean ``enclosed on four sides''), your houses, your
churches, your very chests and safes, yes even your insides and stomachs, all churches, your very chests and safes, yes even your insides and stomachs, all
lying open and exposed to my view. lying open and exposed to my view.
I. Such assertions are easily made, my Lord. \textit{I}. Such assertions are easily made, my Lord.
STRANGER. But not easily proved, you mean. But I mean to prove mine. \textit{Stranger}. But not easily proved, you mean. But I mean to prove mine.
When I descended here, I saw your four Sons, the Pentagons, each in his When I descended here, I saw your four Sons, the Pentagons, each in his
apartment, and your two Grandsons the Hexagons; I saw your youngest Hexagon apartment, and your two Grandsons the Hexagons; I saw your youngest Hexagon
@ -2328,22 +2328,22 @@ alone. I saw your Isosceles servants, three in number, in the kitchen at
supper, and the little Page in the scullery. Then I came here, and how do you supper, and the little Page in the scullery. Then I came here, and how do you
think I came? think I came?
I. Through the roof, I suppose. \textit{I}. Through the roof, I suppose.
STRANGER. Not so. Your roof, as you know very well, has been recently \textit{Stranger}. Not so. Your roof, as you know very well, has been recently
repaired, and has no aperture by which even a Woman could penetrate. I tell repaired, and has no aperture by which even a Woman could penetrate. I tell
you I come from Space. Are you not convinced by what I have told you of your you I come from Space. Are you not convinced by what I have told you of your
children and household? children and household?
I. Your Lordship must be aware that such facts touching the belongings of his \textit{I}. Your Lordship must be aware that such facts touching the belongings of his
humble servant might be easily ascertained by any one of the neighbourhood humble servant might be easily ascertained by any one of the neighbourhood
possessing your Lordship's ample means of information. possessing your Lordship's ample means of information.
STRANGER. (To himself.) What must I do? Stay; one more argument suggests \textit{Stranger}. (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 itself to me. When you see a Straight Line --- your wife, for example --- how many
Dimensions do you attribute to her? Dimensions do you attribute to her?
I. Your Lordship would treat me as if I were one of the vulgar who, being \textit{I}. Your Lordship would treat me as if I were one of the vulgar who, being
ignorant of Mathematics, suppose that a Woman is really a Straight Line, and ignorant of Mathematics, suppose that a Woman is really a Straight Line, and
only of One Dimension. No, no, my Lord; we Squares are better advised, and are only of One Dimension. No, no, my Lord; we Squares are better advised, and are
as well aware of your Lordship that a Woman, though popularly called a as well aware of your Lordship that a Woman, though popularly called a
@ -2351,35 +2351,35 @@ Straight Line, is, really and scientifically, a very thin Parallelogram,
possessing Two Dimensions, like the rest of us, viz., length and breadth (or possessing Two Dimensions, like the rest of us, viz., length and breadth (or
thickness). thickness).
STRANGER. But the very fact that a Line is visible implies that it possesses \textit{Stranger}. But the very fact that a Line is visible implies that it possesses
yet another Dimension. yet another Dimension.
I. My Lord, I have just acknowledge that a Woman is broad as well as long. We \textit{I}. My Lord, I have just acknowledge that a Woman is broad as well as long. We
see her length, we infer her breadth; which, though very slight, is capable of see her length, we infer her breadth; which, though very slight, is capable of
measurement. measurement.
STRANGER. You do not understand me. I mean that when you see a Woman, you \textit{Stranger}. You do not understand me. I mean that when you see a Woman, you
ought --- besides inferring her breadth --- to see her length, and to see what we ought --- besides inferring her breadth --- to see her length, and to see what we
call her height; although the last Dimension is infinitesimal in your country. call her height; although the last Dimension is infinitesimal in your country.
If a Line were mere length without ``height,'' it would cease to occupy Space If a Line were mere length without ``height,'' it would cease to occupy Space
and would become invisible. Surely you must recognize this? and would become invisible. Surely you must recognize this?
I. I must indeed confess that I do not in the least understand your Lordship. \textit{I}. I must indeed confess that I do not in the least understand your Lordship.
When we in Flatland see a Line, we see length and brightness. If the When we in Flatland see a Line, we see length and brightness. If the
brightness disappears, the Line is extinguished, and, as you say, ceases to brightness disappears, the Line is extinguished, and, as you say, ceases to
occupy Space. But am I to suppose that your Lordship gives the brightness the occupy Space. But am I to suppose that your Lordship gives the brightness the
title of a Dimension, and that what we call ``bright'' you call ``high''? title of a Dimension, and that what we call ``bright'' you call ``high''?
STRANGER. No, indeed. By ``height'' I mean a Dimension like your length: only, \textit{Stranger}. No, indeed. By ``height'' I mean a Dimension like your length: only,
with you, ``height'' is not so easily perceptible, being extremely small. with you, ``height'' is not so easily perceptible, being extremely small.
I. My Lord, your assertion is easily put to the test. You say I have a Third \textit{I}. My Lord, your assertion is easily put to the test. You say I have a Third
Dimension, which you call ``height.'' Now, Dimension implies direction and Dimension, which you call ``height.'' Now, Dimension implies direction and
measurement. Do but measure my ``height,'' or merely indicate to me the measurement. Do but measure my ``height,'' or merely indicate to me the
direction in which my ``height'' extends, and I will become your convert. direction in which my ``height'' extends, and I will become your convert.
Otherwise, your Lordship's own understanding must hold me excused. Otherwise, your Lordship's own understanding must hold me excused.
STRANGER. (To himself.) I can do neither. How shall I convince him? Surely a \textit{Stranger}. (To himself.) I can do neither. How shall I convince him? Surely a
plain statement of facts followed by ocular demonstration ought to suffice. --- plain statement of facts followed by ocular demonstration ought to suffice. ---
Now, Sir; listen to me. Now, Sir; listen to me.
@ -2443,33 +2443,33 @@ After a long pause he muttered to himself, ``One resource alone remains, if I
am not to resort to action. I must try the method of Analogy.'' Then followed a am not to resort to action. I must try the method of Analogy.'' Then followed a
still longer silence, after which he continued our dialogue. still longer silence, after which he continued our dialogue.
SPHERE. Tell me, Mr. Mathematician; if a Point moves Northward, and leaves a \textit{Sphere}. Tell me, Mr. Mathematician; if a Point moves Northward, and leaves a
luminous wake, what name would you give to the wake? luminous wake, what name would you give to the wake?
I. A straight Line. \textit{I}. A straight Line.
SPHERE. And a straight Line has how many extremities? \textit{Sphere}. And a straight Line has how many extremities?
I. Two. \textit{I}. Two.
SPHERE. Now conceive the Northward straight Line moving parallel to itself, \textit{Sphere}. Now conceive the Northward straight Line moving parallel to itself,
East and West, so that every point in it leaves behind it the wake of a East and West, so that every point in it leaves behind it the wake of a
straight Line. What name will you give to the Figure thereby formed? We will straight Line. What name will you give to the Figure thereby formed? We will
suppose that it moves through a distance equal to the original straight line. suppose that it moves through a distance equal to the original straight line.
--- What name, I say? --- What name, I say?
I. A square. \textit{I}. A square.
SPHERE. And how many sides has a Square? How many angles? \textit{Sphere}. And how many sides has a Square? How many angles?
I. Four sides and four angles. \textit{I}. Four sides and four angles.
SPHERE. Now stretch your imagination a little, and conceive a Square in \textit{Sphere}. Now stretch your imagination a little, and conceive a Square in
Flatland, moving parallel to itself upward. Flatland, moving parallel to itself upward.
I. What? Northward? \textit{I}. What? Northward?
SPHERE. No, not Northward; upward; out of Flatland altogether. \textit{Sphere}. No, not Northward; upward; out of Flatland altogether.
If it moved Northward, the Southern points in the Square would have to move If it moved Northward, the Southern points in the Square would have to move
through the positions previously occupied by the Northern points. But that is through the positions previously occupied by the Northern points. But that is
@ -2490,7 +2490,7 @@ anywhere, so that I could get rid of him --- I replied: ---
motion which you are pleased to denote by the word `upward'? I presume it is motion which you are pleased to denote by the word `upward'? I presume it is
describable in the language of Flatland.'' describable in the language of Flatland.''
SPHERE. Oh, certainly. It is all plain and simple, and in strict accordance \textit{Sphere}. Oh, certainly. It is all plain and simple, and in strict accordance
with Analogy --- only, by the way, you must not speak of the result as being a with Analogy --- only, by the way, you must not speak of the result as being a
Figure, but as a Solid. But I will describe it to you. Or rather not I, but Figure, but as a Solid. But I will describe it to you. Or rather not I, but
Analogy. Analogy.
@ -2505,35 +2505,35 @@ One Line produces a Square with four terminal Points.
Now you can give yourself the answer to your own question: 1, 2, 4, are Now you can give yourself the answer to your own question: 1, 2, 4, are
evidently in Geometrical Progression. What is the next number? evidently in Geometrical Progression. What is the next number?
I. Eight. \textit{I}. Eight.
SPHERE. Exactly. The one Square produces a \textit{Sphere}. Exactly. The one Square produces a
Something-which-you-do-not-as-yet-know-a-name-for-but-which-we-call-a-Cube Something-which-you-do-not-as-yet-know-a-name-for-but-which-we-call-a-Cube
with eight terminal Points. Now are you convinced? with eight terminal Points. Now are you convinced?
I. And has this Creature sides, as well as Angles or what you call ``terminal \textit{I}. And has this Creature sides, as well as Angles or what you call ``terminal
Points''? Points''?
SPHERE. Of course; and all according to Analogy. But, by the way, not what you \textit{Sphere}. Of course; and all according to Analogy. But, by the way, not what you
call sides, but what we call sides. You would call them solids. call sides, but what we call sides. You would call them solids.
I. And how many solids or sides will appertain to this Being whom I am to \textit{I}. And how many solids or sides will appertain to this Being whom I am to
generate by the motion of my inside in an ``upward'' direction, and whom you generate by the motion of my inside in an ``upward'' direction, and whom you
call a Cube? call a Cube?
SPHERE. How can you ask? And you a mathematician! The side of anything is \textit{Sphere}. How can you ask? And you a mathematician! The side of anything is
always, if I may so say, one Dimension behind the thing. Consequently, as always, if I may so say, one Dimension behind the thing. Consequently, as
there is no Dimension behind a Point, a Point has 0 sides; a Line, if I may so there is no Dimension behind a Point, a Point has 0 sides; a Line, if I may so
say, has 2 sides (for the points of a Line may be called by courtesy, its say, has 2 sides (for the points of a Line may be called by courtesy, its
sides); a Square has 4 sides; 0, 2, 4; what Progression do you call that? sides); a Square has 4 sides; 0, 2, 4; what Progression do you call that?
I. Arithmetical. \textit{I}. Arithmetical.
SPHERE. And what is the next number? \textit{Sphere}. And what is the next number?
I. Six. \textit{I}. Six.
SPHERE. Exactly. Then you see you have answered your own question. The Cube \textit{Sphere}. Exactly. Then you see you have answered your own question. The Cube
which you will generate will be bounded by six sides, that is to say, six of which you will generate will be bounded by six sides, that is to say, six of
your insides. You see it all now, eh? your insides. You see it all now, eh?
@ -2552,7 +2552,7 @@ contact; not edging to the right nor to the left, but moving somehow out of
the world, and vanishing into nothing. Soon there was a blank. But still I the world, and vanishing into nothing. Soon there was a blank. But still I
heard the Intruder's voice. heard the Intruder's voice.
SPHERE. Why will you refuse to listen to reason? I had hoped to find in you --- \textit{Sphere}. Why will you refuse to listen to reason? I had hoped to find in you ---
as being a man of sense and an accomplished mathematician --- a fit apostle for as being a man of sense and an accomplished mathematician --- a fit apostle for
the Gospel of the Three Dimensions, which I am allowed to preach once only in the Gospel of the Three Dimensions, which I am allowed to preach once only in
a thousand years: but now I know not how to convince you. Stay, I have it. a thousand years: but now I know not how to convince you. Stay, I have it.