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1831 May 8

II Morphoscopics
Ch. or §. Contrivance


Specimen or say Sample the 1st The contrivance exhibited
in the fir Proposition the first of Euclid's elements, namely
the Problem. How to describe a triangle having its three
sides equal

In addition to those that have have gone before, here follows another
edition of the indication given of the contrivance

Draw two circles with the same radius: This radius
will be seen to have two ends: one of them to the left of you; call it the left end: the other on
the right of you,
call it the right end.
Begin with the left
end: and keeping it
fixt, employ the other
in the performing of
a revolution: that is
to say in moving
round till the line
has r its original
position: which
done, then and there stop it.

of the radius one of the ends will all the time have been fixt
the other When the revolution has been accomplished performed

You have now one circle made. Proceed and make
the radius will have
another since
position at . Then keeping fixt in that same position the rotation
employ the other
another circle with the same radius Taking this same
position. Keep now the right end line in its former position keep now the right end of it fixt: and while it is so fixt
employ the left end in making a revolution the
same in other respects as the former, till it is returned to
that same position. This done you will have two circles,
one to the left the other to the right equal the one to the other, and cutting one another, at two points
of intersection, one, the upper point of intersection being above the right
line being as it lies in its original position, the other beneath
that same line Inclosed between the left hand and the right hand circle
is a space, belonging in common to both: and the two spaces
the one of them pointing to the left only belonging exclusively to the left hand circle on the left hand, the other to the right
circle on the right hand are equal to each other: being so in virtue of axiom the ?
one of Euclid's axioms.

The Of the three sided figure thus formed, one of the sides
is constituted by a radius which belongs in common to both circles
the two others by two radii the one of them being a radius of
the circle on the left, without being a radius of the circle on the
right hand; the other a radius of the circle at the right hand
without being so of the circle on the left hand.

Identifier: | JB/135/257/001
"JB/" can not be assigned to a declared number type with value 135.



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