The greatest common measure of these numbers is about 102717, therefore—
| Radius | 10000000 | ÷ 102717 = 97 |
| Co-sine | 7422684 | ÷ 102717 = 72 |
| Sine | 6701025 | ÷ 102717 = 65 |
and 65, 72, 97 is the primary triangle to which the satellites are 4, 9, and 5, 13. (See Fig. 63.) The figures in the calculation do not balance exactly, in consequence of the insufficient delicacy of the tables or calculations.
Fig. 63.
The connection between primaries and satellites is shown by figure 64.
Fig. 64.
Let the triangle ADB be a satellite, 5, 2, which we will call BD 20, and AD 8. Let C be centre of semi-circle ABE.
| AD | : | DB | :: | DB | : | DE | = | 50 | (Euc. VI. 8) | ||
| AD | + | DE | = | AE | = | 58 | = diameter | ||||
| AE | ÷ | 2 | = | AC | = | BC | = | 29 | = radius | ||
| AC | - | AD | = | DC | = | 21 | = co-sine | ||||
| and | DB | = | 20 | =sine |