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قراءة كتاب The Solution of the Pyramid Problem; or, Pyramid Discoveries With a New Theory as to their Ancient Use
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اللغة: English
The Solution of the Pyramid Problem; or, Pyramid Discoveries With a New Theory as to their Ancient Use
الصفحة رقم: 3
and FB sine and co-sine, then is YA equal in length to versed sine of angle AFB.
This connects the 20, 21, 29 triangle FAB with the 3, 4, 5 triangle AZY.
I have not sufficient data at my disposal to enable me to connect the remaining eleven small pyramids to my satisfaction, and I consider the four are sufficient for my purpose.
Fig. 4.| At level of Own base | At level of Cephren's base | ||||
| Of these natural numbers the bases of the pyramids are as follows. | } | = | Cheops Cephren Mycerīnus |
56½ 52½ 26¼ |
52½ 52½ 27¼ |
I now establish the following list of measurements of the plan in connected natural numbers. (See Figure 4.)
Plan Ratios connected into Natural Numbers.
| BY YZ |
1 1 |
} | 48 | 48 48 |
BC FB |
6 5 |
} | 16 | 96 80 |
DC BC |
45 32 |
} | 3 | 135 96 |
FB BY |
5 3 |
} | 16 | 80 48 |
| DN NR |
61 60 |
} | 3 | 183 180 |
DN NZ |
61 48 |
} | 3 | 183 144 |
CY BC |
3 2 |
} | 48 | 144 96 |
FH DH |
96 55 |
} | 1 | 96 55 |
| CY DC |
16 25 |
} | 9 | 144 135 |
PN PA |
61 48 |
} | 2.4 | 146.4 115.2 |
JE EX |
3 2 |
} | 24 | 72 48 |
YX AY |
7 4 |
} | 9 | 63 36 |
| BA FB |
21 20 |
} | 4 | 84 80 |
CA DC |
4 3 |
} | 45 | 180 135 |
BC EB |
32 21 |
} | 3 | 96 63 |
EA AZ |
7 4 |
} | 15 | 105 60 |
| CB BA |
8 7 |
} | 12 | 96 84 |
YZ AY |
4 3 |
} | 12 | 48 36 |
FO OR |
32 21 |
} | 4 | 128 84 |
AB BO |
7 4 |
} | 12 | 84 48 |
| ED AE |
8 7 |
} | 15 | 120 105 |
BA EB |
4 3 |
} | 21 | 84 63 |
FT ST |
84 55 |
} | 1 | 84 55 |
BC AC |
8 15 |
} | 12 | 96 180 |
| VW FW |