67 22 48·49 13 5 12 3 2 33 41 24·24 71 4 31·29 37 12 35 7 5 35 32 15·64 73 44 23·27 25 7 24 4 3 36 52 11·63 75 45 0·90 65 16 63 9 7 37 52 30·45 77 19 10·63 41 9 40 5 4 38 39 35·31 79 36 40·11 61 11 60 6 5 39 48 20·05 81 12 9·31 85 13 84 7 6 40 36 4·65 83 16 1·38 145 17 144 9 8 41 38 0·69 87 12 20·30 841 41 840 21 20 43 36 10·15 Reference to the plan ratio table at the commencement, and to the tables here introduced, will shew that most of the primary triangles mentioned are indicated on the plan ratio table principally by the lines corresponding to the ratios of the satellites. Thus-- PRIMARY TRIANGLE INDICATED BY 17, 144, 145. Triangle FP, PA, AF on plan. 13, 84, 85. Plan ratio of SJ to SU, 7 to 6. 11, 60, 61. Plan ratio BC to FB, 6 to 5, and DN to NR, 61 to 60. 12, 35, 37. Plan ratio EO to AY, 37 to 12, and EA to AY, 35 to 12. 5, 12, 13. Plan ratio CY to BC, 3 to 2; JE to EX, 3 to 2; CA to YA, 5 to 1; and NZ to ZA, 12 to 5. 8, 15, 17. Plan ratio FB to BY, 5 to 3, and AC to BC, 15 to 8. 33, 56, 55. Plan ratio YX to AY, 7 to 4; AB to BO, 7 to 4; and EA to AZ, 7 to 4. 28, 45, 53. Exists on plan, AB, BJ, JA. 3, 4, 5. Pervades the plan, and is also indicated by plan ratio GX to DG, 2 to 1; SU to SV, 2 to 1; and CY to YZ, 3 to 1. 48, 55, 73. Exists on plan, FW, WV, VF--and is also indicated by plan ratio FO to OZ, 8 to 3. 65, 72, 97. Plan ratio AC to CH, 9 to 4; MY to YZ, 9 to 4. 20, 21, 29. Exists on plan FB, BA, AF; and plan ratio, GU to DG, 5 to 2. It seems probable that could I add to my pyramid plan the lines and triangles that the missing eleven pyramids would supply, it would comprise a complete table on which would appear indications of all the ratios and triangles made use of in right-angled trigonometry, a "_ratiometer_" in fact.