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3
H. Jan 3, 1832 Posology.
Observations on
the Definitions
of Euclid
— Stone's Euclid
The mechanical power called a
wedge is The sector of a solid is the
an example of the mechanical form
called a wedge. The appellation of sector seems to be an
inapposite one: it has not does not convey an idea of the distinction
between it
& the secant
— a secant might
wt. equal propriety
be termed a sector;
a new appellation
therefore seems
requisite: suppose
it were stiled a
quasi wedge
or a conic-formed
figure — with
the of a secant addition of the correspondent
secant
the two sides of it
constitute a
triangle
20. Right lined figures are those
each of which has right lines for
all its boundaries
21 & 22 & 23. This seems superfluous.
23. 23 The term many sided figure is
confined by Euclid to figures where the
number of sides is greater than four.
24 Of three-sided figures that is an
equilateral triangle the three sides
of which are equal to each other.
The definition of Euclid is not
satisfactory in as much as it is the
figure may have more than
three sides.
25. That An isosceles triangle is that
has an expression implied to denote
a triangle two sides of which are equal
to one another; the third side may
be of any dimensions consistent
with the formation of an angle between
those two equal sides. The greek Greek name from
whence this term was derived signifies
having two equal legs: legs therefore
& sides are in this case synonymous
terms.
26. A Scalene triangle has three
unequal sides no two sides equal
to one another
Approved.
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