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1831 June 4
Posology
Introduction
§. Euclid's erroneous course.
3
So far so good. And now, at length, we come to
the point. Omni tulit punctum (says the Poet) qui miscuit
utile dulci. All points have carried, as is most meet,
Who in the useful has infused the sweet
Applying Confining his attention to one any one at pleasure of these few lines,
he finds it these same speculations of ours
bounded by — continued within, two ends to each of
which he gives the name of a point — in Greek stigma
ςτιγμα the idea which it presents to him being the
same that is presented to him by any surface after the
sharp end of any hard body has struck upon
it.
Thus is it with all these several objects — surfaces
lines and points. Who every saw or felt any one of them — by
itself? Nobody. When At what time did any one of them exist by
itself? at no time. In what place did any one
of them ever exist by itself? in no place. Yet
does Euclid speak of each one of them
every one of these sorts of things as if specimens of it
were and had been existing and about to exist in all places, at all
times.
Thus erroneous: — thus wide of distant from the truth — thus
erroneous thus false is Euclid's mode of considering the subject.
Is it Was it ever necessary to the discovery or to the utterance — to the
communication — of any of the important — the useful truths
the states of things which he afterwards thereafter makes known
to us? No such thing: So, as we proceed together,
Gentle Reader, you will see.
Identifier: | JB/135/314/001 "JB/" can not be assigned to a declared number type with value 135.
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