Copyright © 2020 Henk Reints, Henk-Reints.nl
Created: 2020-10-19 21:49:46 +0200
Pyramids of Giza
Link: Google Maps
See also: http://henk-reints.nl/Pyramid-geometry.pdf
Corner positions determined on Google Maps as accurately as I (HR) could.
Original measures in cubits from https://en.wikipedia.org pages.
The calculations below are done with 1 Egyptian Royal cubit = 0.525 metres.
The slopes are based on the original values in cubits, the rest is based on
the true corner locations using Vincenty's formula to find distances and bearings.
Note: Google Maps satellite view is usually not from straight above some object, so the URLs
below may seemingly misplace markers due to perspective distortion (especially pyramid centres).
Notes:
~π = 22/7 = approximation of π 
~φ =  8/5 = approximation of φ
            atan(5/8) = +032°00'19" = +032°.0054
            atan(8/5) = +057°59'41" = +057°.9946, approximates base-ridge angle of Khufu & especially Menkaure
~φ/~π ≈ 28/55 ≈ 0.509090909090909
 φ/ π         ≈ 0.5150362148004839
 φ/ π ≈ 17/33 ≈ 0.5151515151515151
Mathematical facts are not an achievement of any pyramid builder!
Khufu:
original size: base: 231.0 m = 440 cb, height: 147.0 m = 280 cb, 2×base/height = 22/7
circumference ≈ 2 × π × height (cf. circle; "π-ramid")
mid-base:centre:top = Kepler triangle /1.000959 ("φ-ramid")
π-ramid <≈ φ-ramid is a mathematical fact, not an achievement.
base×4 ×12×60×60 = 39916.800 km = Earth's polar circumference minus 91.063 km
½base of φ-ramid exceeds π-ramid by:
theoretical (φ & π) approximated (8⁄5 & 22⁄7) actual base indentation
0.21 cb = 11 cm 1.36 cb = 71 cm ~ 50 - 100 cm
slant slope ridge slope base-ridge angle
+051°50'34" = +051°.8428 +041°59'09" = +041°.9858 +058°17'29" = +058°.2913
volume: 18 069 333.33 cb³ = 2 614 689.00 m³
corners: latitude longitude link
NW: +029°58'48".794 = +029°.9802206 +031°07'58".786 = +031°.1329961 Google Maps
NE: +029°58'48".832 = +029°.9802311 +031°08'07".293 = +031°.1353592 Google Maps
SE: +029°58'41".296 = +029°.9781377 +031°08'07".437 = +031°.1353992 Google Maps
SW: +029°58'41".290 = +029°.9781360 +031°07'58".906 = +031°.1330295 Google Maps
centre: +029°58'45".053 = +029°.9791813 +031°08'03".106 = +031°.1341960 Google Maps
sides: distance initial bearing final bearing mean bearing misalignment
N:  228.05 m =  434.4 cb +089°42'25" = +089°.7070 +089°42'29" = +089°.7082 +089°42'27" = +089°.7076 -000°17'33" = -000°.2924
S:  228.70 m =  435.6 cb +089°57'08" = +089°.9522 +089°57'12" = +089°.9534 +089°57'10" = +089°.9528 -000°02'50" = -000°.0472
W:  231.10 m =  440.2 cb -000°47'57" = -000°.7991 -000°47'57" = -000°.7992 -000°47'57" = -000°.7992 -000°47'57" = -000°.7992
E:  232.10 m =  442.1 cb -000°57'11" = -000°.9530 -000°57'11" = -000°.9530 -000°57'11" = -000°.9530 -000°57'11" = -000°.9530
total:  919.95 m = 1752.3 cb ×12×60×60 = 39741.547 km = Earth's polar circumference minus 266.316 km
mean absolute misalignment: +000°31'23" = +000°.5230
max. absolute misalignment: +000°57'11" = +000°.9530
diagonals: distance initial bearing final bearing mean bearing
SW_NE:  323.25 m =  615.7 cb +044°04'12" = +044°.0700 +044°04'16" = +044°.0711 +044°04'14" = +044°.0706
NW_SE:  327.25 m =  623.3 cb +134°52'23" = +134°.8730 +134°52'27" = +134°.8742 +134°52'25" = +134°.8736
Khafre:
original size: base: 215.8 m = 411 cb, height: 143.9 m = 274 cb, 4×base/height = 6
circumference = 6 × height (a circle fits exactly 6 times around itself)
slant slope ridge slope base-ridge angle
+053°07'48" = +053°.1301 +043°18'50" = +043°.3139 +059°02'10" = +059°.0362
note: Khafre's ridge slope equals the slant slope of Sneferu's Bent Pyramid (upper half) and Red Pyramid
volume: 15 428 118.00 cb³ = 2 232 496.89 m³
corners: latitude longitude link
NW: +029°58'37".045 = +029°.9769569 +031°07'46".665 = +031°.1296293 Google Maps
NE: +029°58'37".045 = +029°.9769570 +031°07'54".756 = +031°.1318767 Google Maps
SE: +029°58'30".058 = +029°.9750160 +031°07'54".601 = +031°.1318336 Google Maps
SW: +029°58'30".058 = +029°.9750160 +031°07'46".568 = +031°.1296022 Google Maps
centre: +029°58'33".551 = +029°.9759865 +031°07'50".648 = +031°.1307354 Google Maps
sides: distance initial bearing final bearing mean bearing misalignment
N:  216.90 m =  413.1 cb +089°59'47" = +089°.9965 +089°59'51" = +089°.9976 +089°59'49" = +089°.9971 -000°00'11" = -000°.0029
S:  215.35 m =  410.2 cb +089°59'58" = +089°.9994 +090°00'02" = +090°.0006 +090°00'00" = +090°.0000 +000°00'00" = +000°.0000
W:  215.15 m =  409.8 cb +000°41'47" = +000°.6964 +000°41'47" = +000°.6965 +000°41'47" = +000°.6965 +000°41'47" = +000°.6965
E:  215.20 m =  409.9 cb +001°06'27" = +001°.1075 +001°06'27" = +001°.1075 +001°06'27" = +001°.1075 +001°06'27" = +001°.1075
total:  862.60 m = 1643.1 cb
mean absolute misalignment: +000°27'06" = +000°.4517
max. absolute misalignment: +001°06'27" = +001°.1075
diagonals: distance initial bearing final bearing mean bearing
SW_NE:  307.40 m =  585.5 cb +045°34'21" = +045°.5724 +045°34'25" = +045°.5735 +045°34'23" = +045°.5730
NW_SE:  302.55 m =  576.3 cb +135°19'23" = +135°.3231 +135°19'27" = +135°.3242 +135°19'25" = +135°.3236
Menkaure:
original size: base: 105.0 m = 200 cb, height: 65.6 m = 125 cb, 1×base/height = 8/5
base/height ≈ φ (Golden Ratio)
slant slope ridge slope base-ridge angle
+051°20'25" = +051°.3402 +041°28'23" = +041°.4729 +058°00'26" = +058°.0072
volume: 1 666 666.67 cb³ = 241 171.88 m³
corners: latitude longitude link
NW: +029°58'22".601 = +029°.9729446 +031°07'39".902 = +031°.1277506 Google Maps
NE: +029°58'22".652 = +029°.9729589 +031°07'43".631 = +031°.1287863 Google Maps
SE: +029°58'19".394 = +029°.9720540 +031°07'43".538 = +031°.1287605 Google Maps
SW: +029°58'19".372 = +029°.9720479 +031°07'39".828 = +031°.1277300 Google Maps
centre: +029°58'21".005 = +029°.9725014 +031°07'41".725 = +031°.1282569 Google Maps
sides: distance initial bearing final bearing mean bearing misalignment
N:   99.95 m =  190.4 cb +089°05'28" = +089°.0912 +089°05'30" = +089°.0917 +089°05'29" = +089°.0915 -000°54'31" = -000°.9085
S:   99.45 m =  189.4 cb +089°36'37" = +089°.6102 +089°36'39" = +089°.6107 +089°36'38" = +089°.6105 -000°23'22" = -000°.3895
W:   99.40 m =  189.4 cb +001°08'45" = +001°.1458 +001°08'45" = +001°.1459 +001°08'45" = +001°.1458 +001°08'45" = +001°.1458
E:  100.35 m =  191.1 cb +001°25'19" = +001°.4220 +001°25'19" = +001°.4220 +001°25'19" = +001°.4220 +001°25'19" = +001°.4220
total:  399.20 m =  760.4 cb
mean absolute misalignment: +000°57'59" = +000°.9665
max. absolute misalignment: +001°25'19" = +001°.4220
diagonals: distance initial bearing final bearing mean bearing
SW_NE:  143.50 m =  273.3 cb +045°16'15" = +045°.2709 +045°16'17" = +045°.2714 +045°16'16" = +045°.2712
NW_SE:  138.75 m =  264.3 cb +135°22'00" = +135°.3667 +135°22'02" = +135°.3672 +135°22'01" = +135°.3669
Sphinx:
location: latitude longitude link
head: +029°58'30".990 = +029°.9752751 +031°08'15".770 = +031°.1377139 Google Maps
Alignment of diagonals between nearest corners:
from to angle intermediate perpendicular
Khufu SW Khafre NE +003°39'48".38 = +003°.663438  171.65 m =  326.9 cb   11.00 m =   20.9 cb
Khafre NE Khufu SW +005°10'03".29 = +005°.167580  171.65 m =  326.9 cb   15.50 m =   29.5 cb
Khafre SW Menkaure NE +026°31'17".73 = +026°.521593  241.25 m =  459.5 cb  116.10 m =  221.1 cb
Menkaure NE Khafre SW +026°13'15".62 = +026°.221006  241.25 m =  459.5 cb  114.65 m =  218.4 cb
Khufu SW Menkaure NE +008°33'30".55 = +008°.558487  705.00 m = 1342.9 cb  105.70 m =  201.3 cb
Menkaure NE Khufu SW +009°45'43".35 = +009°.762043  705.00 m = 1342.9 cb  120.70 m =  229.9 cb
Khufu SE Sphinx -009°58'50".16 = -009°.980600  388.05 m =  739.2 cb  -67.95 m = -129.4 cb
Misalignment of Khufu & Khafre diagonals:
-001°30'09" = -001°.5024 (Khafre is rotated eastward w.r.t. Khufu)
Centre to centre:
from to distance initial bearing final bearing mean bearing Δlatitude Δlongitude
Menkaure Khafre  454.40 m =  865.5 cb +031°45'53" = +031°.7647 +031°45'57" = +031°.7659 +031°45'55" = +031°.7653 N:  386.35 m =  735.9 cb E:  239.20 m =  455.6 cb
Menkaure Khufu  936.40 m = 1783.6 cb +037°44'26" = +037°.7406 +037°44'37" = +037°.7435 +037°44'31" = +037°.7420 N:  740.50 m = 1410.5 cb E:  573.15 m = 1091.7 cb
Menkaure Sphinx  963.10 m = 1834.5 cb +071°22'48" = +071°.3800 +071°23'05" = +071°.3847 +071°22'56" = +071°.3823 N:  307.50 m =  585.7 cb E:  912.70 m = 1738.5 cb
Khafre Khufu  486.80 m =  927.2 cb +043°19'07" = +043°.3187 +043°19'14" = +043°.3204 +043°19'10" = +043°.3196 N:  354.15 m =  674.6 cb E:  333.95 m =  636.1 cb
Khafre Sphinx  678.10 m = 1291.6 cb +096°40'35" = +096°.6765 +096°40'48" = +096°.6800 +096°40'42" = +096°.6782 S:   78.85 m =  150.2 cb E:  673.50 m = 1282.8 cb
Khafre Menkaure  454.40 m =  865.5 cb -148°14'03" = -148°.2341 -148°14'07" = -148°.2353 -148°14'05" = -148°.2347 S:  386.35 m =  735.9 cb W:  239.20 m =  455.7 cb
Khufu Sphinx  550.25 m = 1048.1 cb +141°54'03" = +141°.9009 +141°54'09" = +141°.9026 +141°54'06" = +141°.9017 S:  433.00 m =  824.8 cb E:  339.50 m =  646.7 cb
Khufu Menkaure  936.40 m = 1783.6 cb -142°15'23" = -142°.2565 -142°15'34" = -142°.2594 -142°15'29" = -142°.2580 S:  740.50 m = 1410.5 cb W:  573.20 m = 1091.8 cb
Khufu Khafre  486.80 m =  927.2 cb -136°40'46" = -136°.6796 -136°40'53" = -136°.6813 -136°40'50" = -136°.6804 S:  354.15 m =  674.6 cb W:  334.00 m =  636.1 cb
Sphinx Menkaure  963.10 m = 1834.5 cb -108°36'55" = -108°.6153 -108°37'12" = -108°.6200 -108°37'04" = -108°.6177 S:  307.50 m =  585.7 cb W:  912.75 m = 1738.5 cb
Sphinx Khafre  678.10 m = 1291.6 cb -083°19'12" = -083°.3200 -083°19'25" = -083°.3235 -083°19'18" = -083°.3218 N:   78.85 m =  150.2 cb W:  673.50 m = 1282.8 cb
Sphinx Khufu  550.25 m = 1048.1 cb -038°05'51" = -038°.0974 -038°05'57" = -038°.0991 -038°05'54" = -038°.0983 N:  433.00 m =  824.8 cb W:  339.50 m =  646.7 cb
Angles (pyramid centres, Sphinx head):
from to and angle
Menkaure Khafre Khufu +005°58'33" = +005°.9759
Menkaure Khufu Sphinx +033°38'22" = +033°.6394
Menkaure Khafre Sphinx +039°36'55" = +039°.6153
Khafre Khufu Sphinx +053°21'28" = +053°.3578
Khafre Sphinx Menkaure +115°05'22" = +115°.0894
Khafre Khufu Menkaure +168°26'50" = +168°.4472
Khufu Sphinx Menkaure +075°50'34" = +075°.8427
Khufu Menkaure Khafre +005°34'37" = +005°.5769
Khufu Sphinx Khafre +081°25'10" = +081°.4196
Sphinx Menkaure Khafre +025°17'43" = +025°.2953
Sphinx Khafre Khufu +045°13'22" = +045°.2226
Sphinx Menkaure Khufu +070°31'05" = +070°.5179
Distance from Khafre to Menkaure-Khufu line (centres):
47.30 m = 90.1 cb
Circumscribed circle of pyramid centres (seems nothing special):
centre: Lat: +029°57'49".759 = +029°.9638221, Lon: +031°08'55".849 = +031°.1488468, Google Maps
distance to Khufu  diagonal: -209.45 m = -399.0 cb
distance to Khafre diagonal:  297.40 m =  566.5 cb
distance to Khufu distance to Khafre distance to Menkaure mean distance sigma distance
2213.20 m = 4215.6 cb 2207.70 m = 4205.1 cb 2207.95 m = 4205.6 cb 2209.60 m = 4208.8 cb 2.55 m = 4.8 cb
Distance ratio approximations (pyramid centres, Sphinx head):
distance 1 distance 2 ratio ≤ 1 best fractions (denominator < 99)
Khafre-Khufu   =*   Khafre-Menkaure/*  0.93345 14/15
Khafre-Khufu   =* */Khafre-Sphinx      0.71788 = ½√2+1.5% 2/3 3/4 5/7 28/39
Khafre-Khufu   =* */Khufu-Menkaure     0.51985 1/2 13/25
Khafre-Khufu   =* */Khufu-Sphinx       0.88468 7/8 8/9 23/26
Khafre-Khufu   =* */Menkaure-Sphinx    0.50543 1/2 46/91 47/93
Khafre-Menkaure=* */Khafre-Khufu       0.93345 14/15
Khafre-Menkaure=* */Khafre-Sphinx      0.67011 2/3 63/94 65/97
Khafre-Menkaure=* */Khufu-Menkaure     0.48525 1/2 16/33 33/68
Khafre-Menkaure=* */Khufu-Sphinx       0.82581 4/5 5/6 14/17 19/23
Khafre-Menkaure=* */Menkaure-Sphinx    0.47180 1/2 8/17 17/36 25/53
Khafre-Sphinx  =*   Khafre-Khufu   /*  0.71788 = ½√2+1.5% 2/3 3/4 5/7 28/39
Khafre-Sphinx  =*   Khafre-Menkaure/*  0.67011 2/3 63/94 65/97
Khafre-Sphinx  =* */Khufu-Menkaure     0.72414 = ½√2+2.4% 2/3 3/4 5/7 8/11 13/18 21/29
Khafre-Sphinx  =*   Khufu-Sphinx   /*  0.81146 4/5 13/16 43/53
Khafre-Sphinx  =* */Menkaure-Sphinx    0.70406 = ½√2-0.4% 2/3 5/7 7/10 12/17 19/27 69/98
Khufu-Menkaure =*   Khufu-Khafre   /*  0.51985 1/2 13/25
Khufu-Menkaure =*   Khufu-Sphinx   /*  0.58761 1/2 3/5 7/12 10/17 47/80 57/97
Khufu-Menkaure =*   Khafre-Menkaure/*  0.48525 1/2 16/33 33/68
Khufu-Menkaure =*   Khafre-Sphinx  /*  0.72414 = ½√2+2.4% 2/3 3/4 5/7 8/11 13/18 21/29
Khufu-Menkaure =* */Menkaure-Sphinx    0.97228 35/36
Khufu-Sphinx   =*   Khufu-Khafre   /*  0.88468 7/8 8/9 23/26
Khufu-Sphinx   =* */Khufu-Menkaure     0.58761 1/2 3/5 7/12 10/17 47/80 57/97
Khufu-Sphinx   =*   Khafre-Menkaure/*  0.82581 4/5 5/6 14/17 19/23
Khufu-Sphinx   =* */Khafre-Sphinx      0.81146 4/5 13/16 43/53
Khufu-Sphinx   =* */Menkaure-Sphinx    0.57132 1/2 4/7
Menkaure-Sphinx=*   Menkaure-Khafre/*  0.47180 1/2 8/17 17/36 25/53
Menkaure-Sphinx=*   Menkaure-Khufu /*  0.97228 35/36
Menkaure-Sphinx=*   Khafre-Khufu   /*  0.50543 1/2 46/91 47/93
Menkaure-Sphinx=*   Khafre-Sphinx  /*  0.70406 = ½√2-0.4% 2/3 5/7 7/10 12/17 19/27 69/98
Menkaure-Sphinx=*   Khufu-Sphinx   /*  0.57132 1/2 4/7
Khafre_volume  =* */Khufu_volume       0.85383 5/6 6/7 35/41
Menkaure_volume=* */Khafre_volume      0.10803 1/9 3/28 4/37
Menkaure_volume=* */Khufu_volume       0.092237 1/10 1/11 6/65
note: Menkaure distances to Khufu and Sphinx = nearly isosceles
All ratios by denominator:
fraction ratio(s)
1/2 φ/π
Khafre-Khufu/Khufu-Menkaure
Khafre-Khufu/Menkaure-Sphinx
Khafre-Menkaure/Khufu-Menkaure
Khafre-Menkaure/Menkaure-Sphinx
Khufu-Sphinx/Khufu-Menkaure
Khufu-Sphinx/Menkaure-Sphinx
~φ/~π
2/3 Khafre-Khufu/Khafre-Sphinx
Khafre-Menkaure/Khafre-Sphinx
Khafre-Sphinx/Khufu-Menkaure
Khafre-Sphinx/Menkaure-Sphinx
3/4 Khafre-Khufu/Khafre-Sphinx
Khafre-Sphinx/Khufu-Menkaure
3/5 Khufu-Sphinx/Khufu-Menkaure
4/5 Khafre-Menkaure/Khufu-Sphinx
Khufu-Sphinx/Khafre-Sphinx
5/6 Khafre-Menkaure/Khufu-Sphinx
Khafre_volume/Khufu_volume
4/7 Khufu-Sphinx/Menkaure-Sphinx
5/7 Khafre-Khufu/Khafre-Sphinx
Khafre-Sphinx/Khufu-Menkaure
Khafre-Sphinx/Menkaure-Sphinx
6/7 Khafre_volume/Khufu_volume
7/8 Khafre-Khufu/Khufu-Sphinx
1/9 Menkaure_volume/Khafre_volume
8/9 Khafre-Khufu/Khufu-Sphinx
1/10 Menkaure_volume/Khufu_volume
7/10 Khafre-Sphinx/Menkaure-Sphinx
1/11 Menkaure_volume/Khufu_volume
8/11 Khafre-Sphinx/Khufu-Menkaure
7/12 Khufu-Sphinx/Khufu-Menkaure
14/15 Khafre-Menkaure/Khafre-Khufu
13/16 Khufu-Sphinx/Khafre-Sphinx
8/17 Khafre-Menkaure/Menkaure-Sphinx
10/17 Khufu-Sphinx/Khufu-Menkaure
12/17 Khafre-Sphinx/Menkaure-Sphinx
14/17 Khafre-Menkaure/Khufu-Sphinx
13/18 Khafre-Sphinx/Khufu-Menkaure
19/23 Khafre-Menkaure/Khufu-Sphinx
13/25 Khafre-Khufu/Khufu-Menkaure
23/26 Khafre-Khufu/Khufu-Sphinx
19/27 Khafre-Sphinx/Menkaure-Sphinx
3/28 Menkaure_volume/Khafre_volume
21/29 Khafre-Sphinx/Khufu-Menkaure
16/33 Khafre-Menkaure/Khufu-Menkaure
17/33 φ/π
17/36 Khafre-Menkaure/Menkaure-Sphinx
35/36 Khufu-Menkaure/Menkaure-Sphinx
4/37 Menkaure_volume/Khafre_volume
28/39 Khafre-Khufu/Khafre-Sphinx
35/41 Khafre_volume/Khufu_volume
25/53 Khafre-Menkaure/Menkaure-Sphinx
43/53 Khufu-Sphinx/Khafre-Sphinx
28/55 ~φ/~π
6/65 Menkaure_volume/Khufu_volume
33/68 Khafre-Menkaure/Khufu-Menkaure
47/80 Khufu-Sphinx/Khufu-Menkaure
46/91 Khafre-Khufu/Menkaure-Sphinx
47/93 Khafre-Khufu/Menkaure-Sphinx
63/94 Khafre-Menkaure/Khafre-Sphinx
57/97 Khufu-Sphinx/Khufu-Menkaure
65/97 Khafre-Menkaure/Khafre-Sphinx
69/98 Khafre-Sphinx/Menkaure-Sphinx
All ratios by value:
fraction value ratio(s)
1/11 0.09090909090909091 Menkaure_volume/Khufu_volume
6/65 0.09230769230769231 Menkaure_volume/Khufu_volume
1/10 0.1 Menkaure_volume/Khufu_volume
3/28 0.10714285714285713 Menkaure_volume/Khafre_volume
4/37 0.10810810810810811 Menkaure_volume/Khafre_volume
1/9 0.1111111111111111 Menkaure_volume/Khafre_volume
8/17 0.47058823529411764 Khafre-Menkaure/Menkaure-Sphinx
25/53 0.4716981132075472 Khafre-Menkaure/Menkaure-Sphinx
17/36 0.4722222222222222 Khafre-Menkaure/Menkaure-Sphinx
16/33 0.48484848484848486 Khafre-Menkaure/Khufu-Menkaure
33/68 0.4852941176470588 Khafre-Menkaure/Khufu-Menkaure
1/2 0.5 φ/π
Khafre-Khufu/Khufu-Menkaure
Khafre-Khufu/Menkaure-Sphinx
Khafre-Menkaure/Khufu-Menkaure
Khafre-Menkaure/Menkaure-Sphinx
Khufu-Sphinx/Khufu-Menkaure
Khufu-Sphinx/Menkaure-Sphinx
~φ/~π
47/93 0.5053763440860215 Khafre-Khufu/Menkaure-Sphinx
46/91 0.5054945054945055 Khafre-Khufu/Menkaure-Sphinx
28/55 0.509090909090909 ~φ/~π
17/33 0.5151515151515151 φ/π
13/25 0.52 Khafre-Khufu/Khufu-Menkaure
4/7 0.5714285714285714 Khufu-Sphinx/Menkaure-Sphinx
7/12 0.5833333333333334 Khufu-Sphinx/Khufu-Menkaure
47/80 0.5875 Khufu-Sphinx/Khufu-Menkaure
57/97 0.5876288659793815 Khufu-Sphinx/Khufu-Menkaure
10/17 0.5882352941176471 Khufu-Sphinx/Khufu-Menkaure
3/5 0.6 Khufu-Sphinx/Khufu-Menkaure
2/3 0.6666666666666666 Khafre-Khufu/Khafre-Sphinx
Khafre-Menkaure/Khafre-Sphinx
Khafre-Sphinx/Khufu-Menkaure
Khafre-Sphinx/Menkaure-Sphinx
65/97 0.6701030927835051 Khafre-Menkaure/Khafre-Sphinx
63/94 0.6702127659574468 Khafre-Menkaure/Khafre-Sphinx
7/10 0.7 Khafre-Sphinx/Menkaure-Sphinx
19/27 0.7037037037037037 Khafre-Sphinx/Menkaure-Sphinx
69/98 0.7040816326530612 Khafre-Sphinx/Menkaure-Sphinx
12/17 0.7058823529411765 Khafre-Sphinx/Menkaure-Sphinx
5/7 0.7142857142857143 Khafre-Khufu/Khafre-Sphinx
Khafre-Sphinx/Khufu-Menkaure
Khafre-Sphinx/Menkaure-Sphinx
28/39 0.717948717948718 Khafre-Khufu/Khafre-Sphinx
13/18 0.7222222222222222 Khafre-Sphinx/Khufu-Menkaure
21/29 0.7241379310344828 Khafre-Sphinx/Khufu-Menkaure
8/11 0.7272727272727273 Khafre-Sphinx/Khufu-Menkaure
3/4 0.75 Khafre-Khufu/Khafre-Sphinx
Khafre-Sphinx/Khufu-Menkaure
4/5 0.8 Khafre-Menkaure/Khufu-Sphinx
Khufu-Sphinx/Khafre-Sphinx
43/53 0.8113207547169812 Khufu-Sphinx/Khafre-Sphinx
13/16 0.8125 Khufu-Sphinx/Khafre-Sphinx
14/17 0.8235294117647058 Khafre-Menkaure/Khufu-Sphinx
19/23 0.8260869565217391 Khafre-Menkaure/Khufu-Sphinx
5/6 0.8333333333333334 Khafre-Menkaure/Khufu-Sphinx
Khafre_volume/Khufu_volume
35/41 0.8536585365853658 Khafre_volume/Khufu_volume
6/7 0.8571428571428571 Khafre_volume/Khufu_volume
7/8 0.875 Khafre-Khufu/Khufu-Sphinx
23/26 0.8846153846153846 Khafre-Khufu/Khufu-Sphinx
8/9 0.8888888888888888 Khafre-Khufu/Khufu-Sphinx
14/15 0.9333333333333333 Khafre-Menkaure/Khafre-Khufu
35/36 0.9722222222222222 Khufu-Menkaure/Menkaure-Sphinx
All distances:
distance description
 -67.95 m = -129.4 cb Khufu SE - Sphinx : perpendicular
  11.00 m =   20.9 cb Khufu SW - Khafre NE : perpendicular
  15.50 m =   29.5 cb Khafre NE - Khufu SW : perpendicular
  47.30 m =   90.1 cb Khafre to Menkaure-Khufu line
  78.85 m =  150.2 cb Khafre - Sphinx : Δlatitude
  99.40 m =  189.4 cb Menkaure W
  99.45 m =  189.4 cb Menkaure S
  99.95 m =  190.4 cb Menkaure N
 100.35 m =  191.1 cb Menkaure E
 105.70 m =  201.3 cb Khufu SW - Menkaure NE : perpendicular
 114.65 m =  218.4 cb Menkaure NE - Khafre SW : perpendicular
 116.10 m =  221.1 cb Khafre SW - Menkaure NE : perpendicular
 120.70 m =  229.9 cb Menkaure NE - Khufu SW : perpendicular
 138.75 m =  264.3 cb Menkaure diagonal NW_SE
 143.50 m =  273.3 cb Menkaure diagonal SW_NE
 171.65 m =  326.9 cb Khafre NE - Khufu SW : intermediate
 215.15 m =  409.8 cb Khafre W
 215.20 m =  409.9 cb Khafre E
 215.35 m =  410.2 cb Khafre S
 216.90 m =  413.1 cb Khafre N
 228.05 m =  434.4 cb Khufu N
 228.70 m =  435.6 cb Khufu S
 231.10 m =  440.2 cb Khufu W
 232.10 m =  442.1 cb Khufu E
 239.20 m =  455.6 cb Menkaure - Khafre : Δlongitude
 239.20 m =  455.7 cb Khafre - Menkaure : Δlongitude
 241.25 m =  459.5 cb Khafre SW - Menkaure NE : intermediate
 302.55 m =  576.3 cb Khafre diagonal NW_SE
 307.40 m =  585.5 cb Khafre diagonal SW_NE
 307.50 m =  585.7 cb Menkaure - Sphinx : Δlatitude
 323.25 m =  615.7 cb Khufu diagonal SW_NE
 327.25 m =  623.3 cb Khufu diagonal NW_SE
 333.95 m =  636.1 cb Khafre - Khufu : Δlongitude
 334.00 m =  636.1 cb Khufu - Khafre : Δlongitude
 339.50 m =  646.7 cb Sphinx - Khufu : Δlongitude
 354.15 m =  674.6 cb Khafre - Khufu : Δlatitude
 386.35 m =  735.9 cb Khafre - Menkaure : Δlatitude
 388.05 m =  739.2 cb Khufu SE - Sphinx : intermediate
 399.20 m =  760.4 cb Menkaure circumference
 433.00 m =  824.8 cb Khufu - Sphinx : Δlatitude
 454.40 m =  865.5 cb Menkaure - Khafre : distance
 486.80 m =  927.2 cb Khafre - Khufu : distance
 550.25 m = 1048.1 cb Sphinx - Khufu : distance
 573.15 m = 1091.7 cb Menkaure - Khufu : Δlongitude
 573.20 m = 1091.8 cb Khufu - Menkaure : Δlongitude
 673.50 m = 1282.8 cb Sphinx - Khafre : Δlongitude
 678.10 m = 1291.6 cb Sphinx - Khafre : distance
 705.00 m = 1342.9 cb Menkaure NE - Khufu SW : intermediate
 740.50 m = 1410.5 cb Khufu - Menkaure : Δlatitude
 862.60 m = 1643.1 cb Khafre circumference
 912.70 m = 1738.5 cb Menkaure - Sphinx : Δlongitude
 912.75 m = 1738.5 cb Sphinx - Menkaure : Δlongitude
 919.95 m = 1752.3 cb Khufu circumference
 936.40 m = 1783.6 cb Menkaure - Khufu : distance
 963.10 m = 1834.5 cb Menkaure - Sphinx : distance
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