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You complain to me of the difficulty
you find in retaining what you learn of Euclid.
Ideas rise all along in your mind in correspondence
to the termsexpressions, & the nor one you insensibleconvinced
to the necessity wherewith each inclusion follows
from it's premises.
founded on
vanishes with it
But that conviction
terms presented under no
other than a particular
aspect
It is demanded to make a Parallelogram equal to any
right line figure Euclid has drawn one of
By this Prop one learns how to make 4 sides only. it is necessary to divide that
a parallelogram the figure should be divided into triangles.
of Triangles if therefore you meet Euclid has told you only to draw B.D. which
with a figure is divided into triangles does individe that individual right lines figure into
you can make a parallelogram equal triangles. now was the assumed figure
to all these divisions [party] taken
a Triangle it would not be necessary to Inacuracy
of B.D.
Prop XLV
together and if any draw any lines for it could be as well of
figure can be divided into triangles made to this triangle as to
this may equal any take sum of the two divisions of it.
Again if the learner should make any general
Idea from the ing had to draw B.D. which
are situated at two angles of the figure and
on that account imagine that in all cases he was
—
to draw a line from one angle to another
he in the case of this triangle could
not divide by so doing for that
line drawn would coincide with one
of the boundaries.
NB. The consequenceconclusion A Youngman
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Identifier: | JB/135/030/002"JB/" can not be assigned to a declared number type with value 135. |
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135 |
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030 |
euclid prefat: |
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002 |
classificat. prefat |
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text sheet |
2 |
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recto |
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jeremy bentham; samuel bentham |
[[watermarks::gr [with crown] [britannia motif]]] |
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46148 |
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