98 is carréphylic - approach of √98-7√2 ~ 9.8994949366
Subsequent approximations of √98 - the position of a fraction indicates whether it is over or under the root-value.
| Diophantine equation: | s2-98p2 = 1 | | | |
| d = distance to nearest square N2: | -2 | | | |
| Smallest non-trivial s: | (2*100-2)/2 | rational: 99 | actual: 99 | ⇒ F=198 |
| Smallest non-trivial p: | 2*10/2 | rational: 10 | actual: 10 | ⇒ primus foldage=10 |
| v-value qt-blocks: | 102-98*12: | +2 | | |
| Number of series: | 17 | | | |
Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
| In the numerator: | U(1,99)198 | = | 1/2*U(2,198)198 | - | half the secundus of 198. |
| In the denominator: | U(0,10)198 | = | 10*U(0,1)198 | - | the 10-fold primus of 198. |
| as well as ... |
| In the numerator: | U(0,980)198 | = | 980*U(0,1)198 | - | the 98*10-fold primus of 198. |
| In the denominator: | U(1,99)198 | = | 1/2*U(2,198)198 | - | half the secundus of 198. |
| and ... |
| In the numerator: | U(10,10)198 | = | 10*U(1,1)198 | - | the 10-fold tertius of 198. |
| In the denominator: | U(-1,1)198 | = | | - | the quartus of 198. |
| and ... |
| In the numerator: | U(-49,49)198 | = | 49*U(-1,1)198 | - | the 49-fold quartus of 198. |
| In the denominator: | U(5,5)198 | = | 5*U(1,1)198 | - | the 5-fold tertius of 198. |
