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1820 May 27 M
Posology 1
II Morphoscopics
47
10
Mode of distinguishing
figures from figures
is by their boundaries
Question 10. By what means is it that figures different bodies are described
and distinguished from each other? in respect of their figure
Ans. By their boundaries.
11
The boundary of a body
are a surface
Question What are the boundaries of a fig body?
Ans. Its surfaces.
12
The boundaries of a
surface are its lines.
Question What are the boundaries of a surface?
Ans. Lines.
13
The boundaries of a
line are its points
Question What are the boundaries of a surface? line?
Answer. Points.
14
Surfaces a body
may have in any
number less than
three: they are termed
its sides
Ques How many surfaces may a body have
for its boundaries
Ans. It may have them in any number: but it can
not fewer than threeX: namely length, breadth and thickness[+]
[+] in which constitutes
its length, in which constitutes
its breadth, and
in which constitutes
its thickness. II
X qe four
Question How many right lines may a surface have
for its boundaries?
Ans. It may have them in any number. But
it can not have fewer than three: which those are termed its three sides
Questn How many points may
15
Name generally given
to a three sided figure
of one surface, a triangle (a)
Question. What is the name that has been generally
given to a surface having for its boundaries three lines
and no more.
Ans. A triangle
Question Why has it been called a triangle?
Ans. Because being a [three sided] figure surface with three sides
it can not but have three angles that is to say corners: namely
a corner opposite to each one of the sides (a)
15 (a)
☞ Note here
the irregularity of the
denominations
1. Triangle
2. Quadrilateral (figure)
3. Pentagon
6. Hexagon &c.
16
Number of boundaries
a line can have, two
and no more.
Question How many points may can a line have for its
boundaries.
Ans. It has Two, and no more
17
A Trilateral a triangle
should have been called
18
Sorts of lines, two
1. Right or say straight
Quere whether crooked
or say bent?
2. Curve
Question How many, and what, are the sorts of lines
that require in the first place to be distinguished from each
other.
Ans. Two: a right line called also a straight line; and a
curved line, called also a curve, or crooked line.
II ☞ Here insert an explanation of length breadth & thickness.
Identifier: | JB/135/237/001 "JB/" can not be assigned to a declared number type with value 135.
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1820-05-27 |
10-18 |
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237 |
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g47 |
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jeremy bentham |
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