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Petrie, William M. Flinders
Researches on the great pyramid, or fresh connections, being a preliminary notice of some facts and a fuller statement — London, 1874

DOI Page / Citation link:
https://doi.org/10.11588/diglit.14#0038
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38

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(within f^òòo)• and along the axis we have 2 cubits or fifty inches per degree
of this angle (difference ^33). The equivalent of the degrees of the direct rise, up

6X6X10

inches

per

the centre of the face, of 12x12° fdiff. ^-) is not so simple ; being

degree (diff. j^j on the opposite slope or perpendicular of face.

The only similar angle is that of the theoretical cone (equal in circumference to
the Pyramid), which is also the angle of the Pyramid where the base is cut by the
base circle ; this angle is %25'° and the degree is represented by £ of 20 inches along

the axis (diff. ^ ).

Another way of viewing the external angles is from the apex or radiant point of the
Pyramid, the plane of the angle being vertical or coincident with the Pyramid axis, and
the equivalents of the degrees are across the base ; the top angle between the opposite

arris lines is -| of 100,θ (diff. 75V0.) eac^ degree 'IS equal to ^r χ10 cubits or
250 inches on the base (diíf. ¿§ ) ; here we have § x 100° for the arris angle at the
top, and ^ χ 100° the arris on the base ; 7 below and 8 above, like the Grand Gallery.
The top angle between the perpendiculars of the opposite faces is 212°, and the degrees
are approximately represented by f x 100 inches, the difference being much larger
than in the other examples ( ~ Y The angle from the apex to any two opposite in-
tersections of the base circle and the base, t. e. across the top of thé Pyramid cone, is
250'°0 and each degree is represented by | x 20 inches (diff. j^J which is necessarily

the same as the value of the degrees in the other way of viewing this angle from the
base.

The angles of the air channels are unfortunately rather vague, as they only profess
to be "within a degree." The N. channel is stated at 32° 45' sexagesimally, so it is
quite possible that it may be 32° 24' sexagesimal, or 9 χ 10° Pyramidal ; and ap-
parently from a comparison of measuring we might not be wrong in assuming 1500
inches for the vertical height of its sloping position, thus giving ì of 50 inches per
degree. The S. channel is 45° or 46°, if 45° sexagesimally, it is the circle ^ 8, or 125°,
and (the vertical height being the same as the N. channel) we have 12 ins. per degree
from the level of the King's Chamber.

The -angular roof stones over the chambers of construction can only be ascertained
from the plates in M Life and Work " (the accuracy of which in cases of known mea-
sures is considerable,) from which they seem to be 32° 50' ± 30' sexagesimally, which is
quite possibly the N. air channel angle just mentioned or 90° ; the vertical height of this,

5^-rr though less simple, would probably be a truer expression here and elsewhere in the external

Pyramid, as this is dependant on the π or 31 proportion of the Pyramid, 7 and 6 combined belonging more
especially to the Queen's Chamber.

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