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# JB/135/236/001

Completed

1820 May 27 M
Posology 1

II Morphoscopics
46

2

7
Mode of Explaining irregular
figures, division
into regular ones.

Question 7 In what manner are irregular figures explained
by the relation they have to some regular
figures?

Ans. By being conceived to be, and thence spoken of as
if they were divided into such or such regular figures

8
Mode of explaining
complex figures, division
into simple

Question 8 In what manner are complicated figures
explained?

Ans. By the relation they bear to the most simple
figures: by being conceived to be and thence spoken of as if
they were, divided into such or such regular and simple figures.

9
Mode of directing an
irregular into regular
figures — Example
1. A field — having
sides more than one
divided into trilateral
figures called triangles

more than one

Question 9. What examples can you produce of a more
complicated figure being divided into a number
of more the most simple ones

Ans. A field+,
+ if Polygonal
not if curvilinear
shaped

be it ever so irregular, and have
ever so many sides to it, may, I am told, be divided into
a certain number of parts called triangles: and then in order that measure may be taken of it, and if the
quantity of ground employable surface contained in it may be known,
it is necessary, I am told, that it should be divided
into such triangles: but as to what a triangle is, and the
manner in which a field is can thus to be divided, this is
a matter which I have yet to learn, and hope to learn
in due time.

10
☞ Here exhibit an
example of this sort
from Euclid's Elements

☞ N. B. Here exhibit on a field the diagram in the form of an irregular
polygon: and by the side of it another of the same form and size,
but divided into triangles.

Identifier: | JB/135/236/001
"JB/" can not be assigned to a declared number type with value 135.

1820-05-27

7-10

135

posology

236

posology

001

text sheet

1

recto

e2 / g46

jeremy bentham

c wilmott 1819

andreas louriottis

1819

46354