[[[[[
24. To M^r Ja^[?]: Hopes D^rs.
Dues to Ballances to 4^th. april 1755 }
1755. ------------------------------- } £ 33. s 6. d 0
1757. To a Ballances. [ ----------- £ 45. s 4. d 4[
xx + yy = b \frac{x}{y} = d
dy^2 + yy = b x = dy
yy + dy^2 = b dy
y + dy = \sqrt b \delta y - 2dy = d
y = \frac{\sqrt b - y}{d}
\delta \upsilon \sigma [Greek, dus, prefix for hard, bad]
\delta \upsilon \nu \alpha \mu \iota \sigma \Pi \omicron \tau \epsilon
\sigma \tau \alpha \sigma [dynamis Potestas]
\delta \upsilon \nu \alpha \mu \iota \sigma \Pi \omicron \tau \epsilon
\sigma \tau \alpha \sigma [same word, different calligraphy]
[drawing of a tree]
]]]]]]]