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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".—
—
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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.
—
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Identifier: | JB/135/010/002 "JB/" can not be assigned to a declared number type with value 135.
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135 |
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010 |
expression (i) |
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002 |
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copy/fair copy sheet |
2 |
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recto |
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uk14 |
[[watermarks::gr [with crown] [britannia emblem]]] |
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46128 |
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