**THE SITEPLAN OF THE GIZA PLATEAU**

**Below is an illustration of WMF Petrie's survey by triangulation of the
three major pyramids at Giza: **

**The results of Petrie's survey by triangulation, in inches,
are as follows:**

NS Distance: | EW Distance: | Total Distance (angle west of due south): | |

Centre of First to centre of Second Pyramid | 13931.6 | 13165.8 | 19168.4 at 43º 22' 52" |

Centre of First to centre of Third Pyramid | 29102.0 | 22616.0 | 36857.7 at 37º 51' 6" |

Centre of Second to centre of Third Pyramid | 15170.4 | 9450.2 | 17873.2 at 31º 55' 12" |

**These measurements convert to cubits as follows:**

NS Distance: | EW Distance: | Total Distance | |

Centre of First to centre of Second Pyramid |
675.6 | 638.5 | 929.6 |

Centre of First to centre of Third Pyramid | 1411.3 | 1096.8 | 1787.5 |

Centre of Second to centre of Third Pyramid | 735.7 | 458.3 | 866.8 |

**Petrie's measurements of the base lengths of the pyramids at Giza are as
follows: **

Inches | Cubits | |

First Pyramid | 9,068.8 | 440 |

Second Pyramid | 8,474.9 | 411 |

Third Pyramid | 4,153.6 | 201.5 |

**Petrie's measurements of the heights of the pyramids at Giza are as
follows:**

Inches | Cubits | |

First Pyramid | 5776 | 280 |

Second Pyramid | 5664 | 274.5 |

Third Pyramid | 2580 | 125 |

**The distance from the southern edge of the first pyramid
to the southern edge of the second pyramid is 661 cubits. At the southern edge
of the second pyramid, the Lehner diagonal is 622 cubits west of the eastern
edge of the first pyramid:**

** 661 x 1216 ÷ 1292 = 622**

**622 cubits is also the length of the diagonal baselength
of the first pyramid:**

**440 x √2 = 622**

**The diagonal of the first pyramid arced to the southern
edge of the first pyramid and a line drawn due south from this point to the
Lehner diagonal marks the southern edge of the second pyramid.**

**The Lehner diagonal passes the southern edge of the second
pyramid 31 cubits east of the eastern edge of the second pyramid (653 - 622
= 31). The baselength of the first pyramid is 29 cubits longer than the baselength
of the second pyramid (440 - 411 = 29). Thus, a diagonal line from the SW corner
of the first pyramid to the SW corner of the second pyramid is very nearly parallel
to the diagonal from the SE corner of the first pyramid to the SE corner of
the third pyramid**

**The square root of two is 1.414. The EW distance from the western
edge of the second pyramid to the western edge of the third pyramid is 353.5
cubits: **

**250 x 1.414 = 353.5 **

**The square root of three is 1.732. The EW distance from the
center of the first pyramid to the eastern edge of the second pyramid is 433
cubits: **

**250 x 1.732 = 433 **

**The square root of five is 2.236. The EW distance from the
center of the second pyramid to the western edge of the third pyramid is 559
cubits: **

**250 x 2.236 = 559**

**The square root of seven is 2.646. The NS distance from the
southern edge of the first pyramid to the southern edge of the second pyramid
is 661 cubits:**

**250 x 2.646 = 661**

**The combined height of the pyramids is 280 + 274.5 + 125 =
679.5 cubits. This is equal to the two NS spaces between the three pyramids
(250 + 429.5 = 679.5). The combined baselength of the pyramids is 440 + 411
+ 201.5 = 1052.5 cubits. The combined height and baselength of the pyramids
is 679.5 + 1052.5 = 1732 cubits.**

**The sum of the two EW spaces (213 + 152) is 365 cubits, equal
to the number of days in a year. The circumference of a circle with a diameter
equal to the diagonal baselength of the second pyramid is equal to the number
of days in a year times five: **

**411 x √2 = 581.24**

**581.24 x π
= **

**1826/5 = 365**

**22,616 inches x 9 ÷ 7 = 29,078 inches**

**29,102 inches x 7 ÷ 9 = 22,634 inches**

**In cubits, the margin of error is within one cubit, over a
distance of 1,787 cubits:**

**The difference between the 1,411 cubit NS distance and
the 1,087 cubit EW distance between the apexes of the pyramids is also a good
approximation of π
x 100: **

**1,411 - 1,097 = 314**

**1096.8 + 220 + 100.75 = 1,417.5 cubits EW. **

**1411.3 + 220 + 100.75 = 1,732 cubits NS. **

**The slope of the diagonal from the NE corner of the first pyramid to the
SW corner of the third pyramid is 1.417.5/1,732. Robin
Cook observed that this reduces to a slope of 9/11. The angle west of due
south from the NE corner of the first pyramid to the SW corner of the second
pyramid is 39° 17' 51". A true 9/11 right triangle has an angle of 39°
17' 22". The margin of error is less than 30 arc seconds:**

**1417.5/1090.5 = 13/10.**

**The distance from the SW corner of the third pyramid to
the NE corner of the second pyramid is 1292 cubits. The distance from the SW
corner of the the third pyramid to the NE corner of the first pyramid is 2238
cubits. Ross also observed that 2238/1292 = 1.732.**

**A 45° diagonal from the apex of the third pyramid intersects the
SE diagonal of the first pyramid very nearly 220 cubits from the apex of the
first pyramid. Thus, a circle inscribed inside the first pyramid very nearly
marks the point on the SE diagonal of the first pyramid that is at a 45° angle
to the apex of the third pyramid. This 45° diagonal line from the SE diagonal
of the first pyramid to the apex of the third pyramid is divided by the SE
diagonal of the second pyramid in the ratio of 11/10, as shown in the diagaram
above. The length of this diagonal is 1773 cubits, a close approximation of
the square root of
π x 1000. The EW distance between the apex of the first
pyramid and the apex of the third pyramid divides the 45° diagonal into golden
sections.**

**A smaller square is drawn from the mid point of the southern
edge of the great pyramid and the mid point of the northern edge of the third
pyramid. Another golden section rectangle is formed by the apex of the great
pyramid and the point where the arc intersects the level of the southern edge
of the pyramid. The EW side length of this rectangle is 356 cubits (220 +
136 = 356) and the NS side length is 220 cubits (356/1.618 = 220). The diagonal
of this rectangle is extended to the NS green line from the mid point of the
northern edge of the third pyramid. The EW distance of this diagonal is 1094
cubits (1414 - 220 - 100 = 1094). The NS distance of this diagonal is 676 cubits
(1094/1.618 = 676). The SE and NW diagonal of the second pyramid is aligned
with the diagonal of the green square. The diagonal from the mid point of the
western edge of the great pyramid to the apex of the third pyramid intersects
the diagonal of the green square at the apex of the second pyramid. The diagonal
from the apex of the great pyramid also intersects the NS green line from the
third pyramid at the same NS level as the apex of the second pyramid, 676 cubits
south of the apex of the great pyramid.**

**EW P1 - P3/NS P1 - P2 = 1.618**

**NS P2 - P3/EW P2 - P3 = 1.618**

**The diagonal baselength of the first pyramid is 622 cubits
(440 x √2 = 622). 1/8th of the baselength of the first pyramid
is 55 cubits (440/8 = 55). Extending the diagonal of the first pyramid to the
SE by 1/8th of the baselength of the first pyramid gives a diagonal length of
677 cubits (the short side of the diagonal bounding box below). The long side
of the diagonal bounding box in the diagram is 677 x φ²
= 1772.4 cubits. 1772.4 is the square root of
π x 1000. The corner of the diagonal bounding box at the
SE corner of the third pyramid is 1732 cubits south and 1214 cubits west of
the NE corner of the first pyramid. The south edge of the third pyramid is 1732
cubits south of the north edge of the first pyramid and with a baselength of
200 cubits, the west edge of the third pyramid is 1414 cubits west of the east
edge of the first pyramid. **

**√3² + √4²
= √7²**

**The NS distance from the southern edge of Menkaure to the northern
edge of Khufu's valley temple is 2,100 cubits. The EW distance from the western
edge of Menkaure to the eastern edge of Khufu's valley temple is 2,800 cubits.**
**The diagonal of the rectangle described by the SW corner of Menkaure and
the NE corner of Khufu's valley temple is 3,500 cubits long, demonstrating a
3-4-5 right triangle of 2,100 - 2,800 - 3,500 cubits.**

**See Also:**

**Geometric construction of the Giza
siteplan**

**Giza siteplan: Squaring the circle**

**Survey diagrams of the Giza Plateau by:**