Fig. 3. Cheops, Cephren, Mycerinus _Figure 3_ represents the combination,--A being Cheops, F Cephren, and D Mycerinus. Lines DC, CA, and AD are to each other as 3, 4, and 5; and lines FB, BA, and AF are to each other as 20, 21, and 29. The line CB is to BA, as 8 to 7; the line FH is to DH, as 96 to 55; and the line FB is to BC, as 5 to 6. The Ratios of the first triangle multiplied by forty-five, of the second multiplied by four, and the other three sets by twelve, one, and sixteen respectively, produce the following connected lengths in natural numbers for all the lines. DC 135 CA 180 AD 225 ----------- FB 80 BA 84 AF 116 ----------- CB 96 BA 84 ----------- FH 96 DH 55 ----------- FB 80 BC 96 Figure 4 connects another pyramid of the group--it is the one to the southward and eastward of Cheops. In this connection, A Y Z A is a 3, 4, 5 triangle, and B Y Z O B is a square. Lines YA to CA are as 1 to 5 CY to YZ as 3 to 1 FO to ZO as 8 to 3 and DA to AZ as 15 to 4. I may also point out on the same plan that calling the line FA radius, and the lines BA 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_ _At level of_ _Own base_ _Cephren's base_ _Of these natural_ } _Cheops_ 56½ 52½ _numbers the bases_ } = _Cephren_ 52½ 52½ _of the pyramids are_} _Mycerinus_ 26¼ 27¼ _as follows._ } I now establish the following list of measurements of the plan in connected natural numbers. (_See Figure 4._) Plan Ratios connected into Natural Numbers.