xml:lang="en" lang="en" dir="ltr">
##### Views

Keep up to date with the latest news - subscribe to the Transcribe Bentham newsletter; Find a new page to transcribe in our list of Untranscribed Manuscripts

# JB/135/161/001

Completed

1831 Nov. 23

Posology.

Euclids Imperfect
Definitions
An angle continued

3

(1)
Preface. Of the subject matter in question I had to
before me that Euclid had; that from that scene
i saw elucidated to my own eyes.

Euclids definition of an angle is a definition ignotum
per ignotius
. According to him an angle γωνία is
a κλίνω. Κλίνω has its conjugate in the
Latin words inclino declive according to which
it is a bending. But what is a bending? what b
has it? It is a mere fictitious entity. The idea
it presents is rather of a curve than a straight line
for when a straight line — a curve for example or bend
what does it make but a curve? what at so readily:
how can the line be made a strait one without a line
and manipulation. Curious it is that downe
to this time mathematicians all over
the world should of been conted to take up with
such obscure conseptions.

(3)
Thus confused is the conception which from
the origin of the art and science down to the present time
what for these two thousand years men have been
content to possess and entertain of this an effectual subject matter belonging
to an art and science of which clearness is regarded
as the essential and distinctive character.

(2)
No otherwise than by reference made to the corresponding
circle — to the circle in which the lines by which
it is bounded terminate, can the angle measured — can
the size of it be determined and expressed: and whatsoever
be this circle it forms the third base a figure is completed,
much of that figure a figure named a triangle, and of that same triangle it forms the third boundary, the
two others being the two right lines between which
the angle is contained: nor can this figure, with
the angle in question belonging to it, be thus formed, without
forming, at the same time the two other sides boundaries of that same
triangle.

Identifier: | JB/135/161/001
"JB/" can not be assigned to a declared number type with value 135.

1831-11-23

135

posology

161

posology

001

text sheet

1

recto

e3

jeremy bentham

street & co 1830

antonio alcala galiano

1830

46279