infinitesimals of the time, and then they would find, moncler
jackets that an infinite number of parts might be passed To understand the subject thoroughly, let it be
observed, that the only reason why unity is not reckoned a number, is, that Euclid and the authors who first treated of
Arithmetic, when they were laying down several properties common to all numbers, to avoid frequently repeating, that
this property belonged to all numbers, excepting unity, excluded unity, from the signification of the word number, in
virtue of the right we have already noticed, of making definitions at pleasure. If they had been so disposed, they might
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Vest or any other number they pleased, for this would have been allowable, if duly notified; as, on the other
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propositions, to avoid saying every time: this property belongs to all numbers, even to unity and fractions, and in this
extended sense I have employed the word in what I have written. But Euclid himself, who has taken from unity the
name of a number, which he had a right to do, Moncler Coats Men in order to show that it is not a nonentity, but, on the contrary, of the same kind
with numbers, thus defines homogeneous magnitudes," Magnitudes" says he, " are said to be of the same kind, when
one by repeated multiplication, becomes greater than the otheiAnd, consequently, since unity, by being multiplied,
may exceed any number whatever, it is of the same kind as numbers, in its essence and immutable nature, according
to that very Euclid who refused to call it a number. It is not the same with an indivisible point, in re they are
homogeneous; but two indivisible points will not form extension, because they are not homogeneous. Thus we see
how little reason there is to compare the relation between unity and numbers, to that which subsists between
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numbers, because, being multiplied,Moncler Jackets Women it never exceeds them. So that it is a true indivisible, in respect of numbers; as
an indivisible point is a cipher, in respect of extension. We find a similar relation between rest and
merry1215
jackets that an infinite number of parts might be passed To understand the subject thoroughly, let it be
observed, that the only reason why unity is not reckoned a number, is, that Euclid and the authors who first treated of
Arithmetic, when they were laying down several properties common to all numbers, to avoid frequently repeating, that
this property belonged to all numbers, excepting unity, excluded unity, from the signification of the word number, in
virtue of the right we have already noticed, of making definitions at pleasure. If they had been so disposed, they might
have excluded tivo and three, Moncler
Vest or any other number they pleased, for this would have been allowable, if duly notified; as, on the other
hand, unity, and even fractions, may be ranked among numbers; and this, indeed, we are obliged to do in general
propositions, to avoid saying every time: this property belongs to all numbers, even to unity and fractions, and in this
extended sense I have employed the word in what I have written. But Euclid himself, who has taken from unity the
name of a number, which he had a right to do, Moncler Coats Men in order to show that it is not a nonentity, but, on the contrary, of the same kind
with numbers, thus defines homogeneous magnitudes," Magnitudes" says he, " are said to be of the same kind, when
one by repeated multiplication, becomes greater than the otheiAnd, consequently, since unity, by being multiplied,
may exceed any number whatever, it is of the same kind as numbers, in its essence and immutable nature, according
to that very Euclid who refused to call it a number. It is not the same with an indivisible point, in re they are
homogeneous; but two indivisible points will not form extension, because they are not homogeneous. Thus we see
how little reason there is to compare the relation between unity and numbers, to that which subsists between
indivisible points and extension. But, if we must needs take a comparison from numbers that shall justly illustrate the
subject of exteusion, we must consider the relation of the cipher to numbers; for the cipher is not of the same kind as
numbers, because, being multiplied,Moncler Jackets Women it never exceeds them. So that it is a true indivisible, in respect of numbers; as
an indivisible point is a cipher, in respect of extension. We find a similar relation between rest and
merry1215
Sat Mar 10, 2012 4:46 pm by merry
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