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Angle bisection

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nicholas kollerstrom
New member
Username: astro3

Post Number: 1
Registered: 09-2009
Posted From: 78.151.207.67
Posted on Saturday, September 19, 2009 - 02:09 pm:   Edit Post Delete Post Print Post    Move Post (Moderator/Admin Only) Ban Poster IP (Moderator/Admin only)

Hi everyone I’m new here.

Does anyone have data on the slope angle of the descending passage of the 2nd Giza pyramid, that of Khafre?

Tell you why I ask, its about the idea that these are bisecting the outer wall angles. The slope angle of the GP Descending Passage is 26deg 33’, ie arctan (1/2) and this is exactly half of the 2nd pyramid’s slope angle assuming it was designed on a 3:4:5 triangle, ie arctan (4/3).

The slope angle of the Descending passage of the 2nd pyramid is normally cited as being 25 deg 55’ and this exactly bisects the GP’s famous slope angle of 51 deg 51.’ But its hard to find any source for this slope angle measurement.

If true this would certainly be a startling link up between the two big pyramids, even if we have no idea as to why they would wish to bisect each other's slope angles in this manner.

This issue has been previously discussed here on the Guardian’s Ancient Egypt board:
http://egyptologist.org/cgi-bin/discus/board-admin.cgi?action=quick&do=print&HTT P_REFERER=8/9994&postindex=46950

and the main source here cited for that 25deg 55’ slope angle was I.E.S. Edwards, ‘The Pyramids of Egypt.’ But the author of the post Erik Calero asks, whether Dr Hawass has a more recent value, also whether Viot and Rinaldi (L’archittettura.... 1963) has any more accurate values? Was there any answer to this?

If the pyramid builders could bisect angles within an arcminute accuracy that would be remarkable. If it is happening symmetrically between the two pyramids then it could hardly be a coincidence.
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Helmut Fritz
Junior Member
Username: helmut

Post Number: 72
Registered: 09-2002
Posted From: 78.51.68.66
Posted on Monday, December 07, 2009 - 06:20 pm:   Edit Post Delete Post Print Post    Move Post (Moderator/Admin Only) Ban Poster IP (Moderator/Admin only)

Nicholas,
For what it's worth:
in the book "Ägyptische Pyramiden" by Alberto Siliotti (with an introduction by Zahi Hawass), the slope of the upper passage is listed as 25 deg 55’, the slope of the lower passage as 21 deg 40’.
I do not know who Alberto Silliotti is and if his data can be assumed to be trustworthy.

(Message edited by Helmut on December 07, 2009)

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