DOI Seite / Zitierlink:
https://doi.org/10.11588/diglit.8#0071
( 70 )
to English, they will produce 640.8 for the height; and
700 French, produce 747-6 English feet for the length.
If then we suppose Sir Robert's recorded height too
much for the true height, in the same proportion as his
recorded length, is found too much for the true length; the
¡statement then is thus, as 747.6 : 729.6 :: 640.8: 625.3714
&c. for the height by Sir Robert's statements, corrected
by the true dimension of the length of the Pyramid's base.
But as this height of 625 &c. feet English, merely the
inference of a corrected statement, may not be so satis-
factory as to exclude all doubt; it will serve, however,
to prove the much greater inaccuracies in the various
recorded heights, by other authors, of whom none have
asserted above 500 English feet, as the vertical altitude.
We are now to consider also this height infered from Sir
Robert's record, corrected by an indisputable criterion,
is only from the centre of the base to the centre of the
flat at top, which, whatever it's real sides may be, will
certainly add something to the above infered altitude of
625 &c. English feet; and with this addition, the height
will be found to approach so very near to the dimension,
which I shall prove, will constitute the perfection of this
ancient geometrical paragon ; as to leave no room for
hesitation even, in deciding, that, and no other, is the true
vertical height, when the sides of the Pyramid are, or
are imagined to be, carried up to an apex.
First, then, the triangular sides of the Pyramid are
now ascertained to be isosceles trigons, whereof each
has for it's base, the length of the Pyramid's base ; as-
suming, then, for the perpendicular of this triangle, the
whole length of it's base ; that is for the shortest possible
line from the verticle angle, to the side of the base, which
of necessity falls on the said side of the base at right
anglös
to English, they will produce 640.8 for the height; and
700 French, produce 747-6 English feet for the length.
If then we suppose Sir Robert's recorded height too
much for the true height, in the same proportion as his
recorded length, is found too much for the true length; the
¡statement then is thus, as 747.6 : 729.6 :: 640.8: 625.3714
&c. for the height by Sir Robert's statements, corrected
by the true dimension of the length of the Pyramid's base.
But as this height of 625 &c. feet English, merely the
inference of a corrected statement, may not be so satis-
factory as to exclude all doubt; it will serve, however,
to prove the much greater inaccuracies in the various
recorded heights, by other authors, of whom none have
asserted above 500 English feet, as the vertical altitude.
We are now to consider also this height infered from Sir
Robert's record, corrected by an indisputable criterion,
is only from the centre of the base to the centre of the
flat at top, which, whatever it's real sides may be, will
certainly add something to the above infered altitude of
625 &c. English feet; and with this addition, the height
will be found to approach so very near to the dimension,
which I shall prove, will constitute the perfection of this
ancient geometrical paragon ; as to leave no room for
hesitation even, in deciding, that, and no other, is the true
vertical height, when the sides of the Pyramid are, or
are imagined to be, carried up to an apex.
First, then, the triangular sides of the Pyramid are
now ascertained to be isosceles trigons, whereof each
has for it's base, the length of the Pyramid's base ; as-
suming, then, for the perpendicular of this triangle, the
whole length of it's base ; that is for the shortest possible
line from the verticle angle, to the side of the base, which
of necessity falls on the said side of the base at right
anglös