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1. <sic>Synonimous</sic> terms to be as much as possible [always] <note>Synonimous terms<lb/> | 1. <sic>Synonimous</sic> terms to be as much as possible [always] <note>Synonimous terms<lb/> | ||
to be avoided</note><lb/> | to be avoided</note><lb/> | ||
avoided: for Ex: Rectangle, Oblong, Long-Square &c</p> | avoided: for Ex: <hi rend="underline">Rectangle, Oblong, Long-Square</hi> &c</p> | ||
—<lb/> | —<lb/> | ||
<p>2. Words that have various meanings to be confined <note>Words of Various<lb/> | <p>2. Words that have various meanings to be confined <note>Words of Various<lb/> | ||
| Line 24: | Line 24: | ||
<p>4. Not to make the Imagination commit and error altho' <note>Errors of <lb/> | <p>4. Not to make the Imagination commit and error altho' <note>Errors of <lb/> | ||
Imagination</note><lb/> | Imagination</note><lb/> | ||
you correct it | you correct it afterward: for example, do not say a<lb/> | ||
line must be drawn from any point in a circle to<lb/> | line must be drawn from any point in a circle to<lb/> | ||
the Circumference, and | the Circumference, and afterward say it must go<lb/> | ||
through the <sic>Center</sic>; but say "a line must be drawn<lb/> | through the <sic>Center</sic>; but say "a line must be drawn<lb/> | ||
from the point through the <sic>Centre</sic> to the<lb/> | from the point through the <sic>Centre</sic> to the<lb/> | ||
Circumference".—</p> | Circumference".—</p> | ||
—<lb/><pb/> | —<lb/><pb/> | ||
<head>EXPRESSION. (I)</head><lb/> | |||
—<lb/> | |||
<note>N<hi rend="superscript">o</hi>. <lb/> | |||
5</note> | |||
<p>Beginners are apt to confound the notion of the whole content<lb/> | |||
<note>Area confounded<lb/> | |||
with the Boundaries <lb/> | |||
of Figures</note> or Area of a figure with that of the mere boundaries. The<lb/> | |||
idea I used to have of the <hi rend="underline">Square of a Line</hi> (and I know in<lb/> | |||
this I was not Singular) was <hi rend="underline">four times that line</hi>;<lb/> | |||
because it had four such Lines for its boundaries, and those<lb/> | |||
boundaries only are represented to the Eye. In a Circle,<lb/> | |||
in like manner, I used to consider nothing but the<lb/> | |||
circumference: so that the Ideas of the word <hi rend="underline">Circle</hi> and<lb/> | |||
<hi rend="underline">circumference of a Circle</hi> were the same. This is not by<lb/> | |||
any means to be wondered at: how should the Idea of<lb/> | |||
the learner be otherwise than confused, when that of the<lb/> | |||
Master is no better? Many are the instances in which<lb/> | |||
the Ideas of a Circle and its CIrcumference, and of the<lb/> | |||
boundaries of Triangles and their Areas, stand confounded,<lb/> | |||
as well by Euclid as by all his Editors.</p> | |||
— | |||
<p>Errors of expression or language must take from the credit <note>6</note><lb/> | |||
of the Meaning.</p> | |||
—<lb/> | |||
<p>Use the Words <hi rend="underline">longest</hi> and <hi rend="underline">shortest</hi> as relative expressions <lb/> | |||
<note>Longer & Shorter<lb/> | |||
Greater & less<lb/> | |||
when used.</note> in treating <hi rend="underline">Lines</hi>, greater and lesser in treating of<lb/> | |||
<hi rend="underline">Figures</hi> and <hi rend="underline">Angles</hi>: Greatness signifying more than<lb/> | |||
Length.</p> | |||
—<lb/><pb/> | |||
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EXPRESSION (I)
No.
1. Synonimous terms to be as much as possible [always] Synonimous terms
to be avoided
avoided: for Ex: Rectangle, Oblong, Long-Square &c
—
2. Words that have various meanings to be confined Words of Various
Meanings confined
to one
to one of those meanings, and other words substituted
to express the rest.
—
3. In announcing a Proposition use the most general General Terms
instead of confined
in Propositions
terms instead of more confined: for Example,
the general term Boundary, instead of the confined
one Base, Side &c
—
4. Not to make the Imagination commit and error altho' Errors of
Imagination
you correct it afterward: for example, do not say a
line must be drawn from any point in a circle to
the Circumference, and afterward say it must go
through the Center; but say "a line must be drawn
from the point through the Centre to the
Circumference".—
—
---page break---
EXPRESSION. (I)
—
No.
5
Beginners are apt to confound the notion of the whole content
Area confounded
with the Boundaries
of Figures or Area of a figure with that of the mere boundaries. The
idea I used to have of the Square of a Line (and I know in
this I was not Singular) was four times that line;
because it had four such Lines for its boundaries, and those
boundaries only are represented to the Eye. In a Circle,
in like manner, I used to consider nothing but the
circumference: so that the Ideas of the word Circle and
circumference of a Circle were the same. This is not by
any means to be wondered at: how should the Idea of
the learner be otherwise than confused, when that of the
Master is no better? Many are the instances in which
the Ideas of a Circle and its CIrcumference, and of the
boundaries of Triangles and their Areas, stand confounded,
as well by Euclid as by all his Editors.
—
Errors of expression or language must take from the credit 6
of the Meaning.
—
Use the Words longest and shortest as relative expressions
Longer & Shorter
Greater & less
when used. in treating Lines, greater and lesser in treating of
Figures and Angles: Greatness signifying more than
Length.
—
---page break---
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