Universal Analysis of Equations (1702) - Page 20

(14)

PROBLEM VI.

Let there be an equation of the Second (as they call it) Formula.

aa — ba = c

In numbers aa — 5a = 31

c + bg — gg

Theor. x = ———————————

2g — b

g = 8
c + bg — gg = + 7
2 g — b = 11) + 7.0 (+ 0.6 = x

      8.
    + 0.6
    -----
    g = 8.6

c + bg — gg = + .04
2g — b = 12.2) + .0400 (+ .0032 = x

      8.6
    + .0032
    -------
    g = 8.6032

c + bg — gg = + .00094976
2g — b = 12.2064) + .000949760 (+ .000077808 = x

      8.6032
    + .000077808
    ------------
    a = 8.603277808