Fragmentary calculations relating to weights of coins, on the reverse of a cover addressed to Newton as warden

${38}^{{\mathrm{dw}}^{\mathrm{t}}}⁤4^{\mathrm{gr}}⁤\frac{1}{2}=2\mathrm{oz}$

${304}^{{\mathrm{dw}}^{\mathrm{t}}}.36⁤\frac{1}{2}={\phantom{0}}^{\mathrm{lb}}=$

$\begin{array}{r}{\underline{1216}}^{\phantom{\mathrm{gr}}}\phantom{⁤\frac{1}{2}=11\mathrm{b}-14\mathrm{a}\phantom{.}}\\ {7296}^{\phantom{\mathrm{gr}}}\phantom{⁤\frac{1}{2}=11\mathrm{b}-14\mathrm{a}\phantom{.}}\\ 36⁤{\frac{1}{2}}^{\phantom{\mathrm{gr}}}\phantom{=11\mathrm{b}-14\mathrm{a}\phantom{.}}\\ {\overline{7332⁤\frac{1}{2}}}^{\mathrm{gr}}=\phantom{12}\mathrm{b}.\phantom{-15\mathrm{a}}\\ {1572}^{⁤}=\phantom{12}\mathrm{b}-\mathrm{a}.\phantom{15}\\ 1587\phantom{⁤{\frac{1}{2}}^{\mathrm{gr}}=}12\mathrm{b}-15\mathrm{a}\phantom{.}\\ {14⁤\frac{1}{2}}^{\phantom{\mathrm{gr}}}=11\mathrm{b}-14\mathrm{a}\phantom{.}\end{array}$

$\begin{array}{r}480,12=\phantom{=\mathrm{a}=5760\phantom{=4\mathrm{b}-4\mathrm{a}}}\\ 960\phantom{,12==\mathrm{a}=5760\phantom{=4\mathrm{b}-4\mathrm{a}}}\\ \overline{5760}=\mathrm{a}=5760\phantom{=4\mathrm{b}-4\mathrm{a},12=}\\ 6289=4\mathrm{b}-4\mathrm{a}\phantom{,12=}\\ 529=4\mathrm{b}-5\mathrm{a}\phantom{,12=}\end{array}$

$\begin{array}{l}\phantom{0}{19}^{\mathrm{d}}. 2⁤\frac{1}{4}\mathrm{g}.\\ \phantom{0}76\\ {456⁤\frac{1}{4}}^{\mathrm{gr}}\text{ in }\mathrm{oz}.\end{array}$

$\begin{array}{r}190. 22⁤\frac{1}{4}\\ 57. \phantom{0}7\phantom{⁤\frac{1}{4}}\\ 247. 29⁤\frac{1}{4}\\ 240. \phantom{29⁤\frac{1}{4}}\end{array}$

$\begin{array}{l}{305}^{{\mathrm{dw}}^{\mathrm{t}}}.12⁤\frac{1}{2}\mathrm{gr}\\ 240.\\ \phantom{0}65.12⁤\frac{1}{2}\end{array}$

$\begin{array}{r}20.355\phantom{⁤\frac{1}{4}}.480\\ 4.\phantom{0}71\phantom{⁤\frac{1}{4}.480}\\ 426\phantom{⁤\frac{1}{4}.480}\\ 3.\phantom{0}53⁤\frac{1}{4}\phantom{.480}\\ 479⁤\frac{1}{4}\phantom{.480}\end{array}$

$\begin{array}{c}\begin{array}{ll}\text{Vncia Germanica est }458⁤\frac{1}{4}\mathrm{gr}=& {19.}^{\mathrm{dwt}}{2⁤\frac{1}{4}}^{\mathrm{gr}}. \mathrm{A}\\ \phantom{\text{Vncia }}\text{Anglicana}\phantom{\text{ est }458⁤\frac{1}{4}\mathrm{gr}=}& {20.}^{\phantom{\mathrm{dwt}}}0\phantom{⁤{\frac{1}{4}}^{\mathrm{gr}}. }\mathrm{b}\end{array}\\ \begin{array}{cc}76\phantom{000000000000000000000000000000}\hfill & \hfill 17⁤\frac{3}{4}=\mathrm{b}-\mathrm{a}\phantom{0000.}\\ & \hfill 479⁤\frac{1}{4}\phantom{=}26\mathrm{b}-26\mathrm{a}\phantom{.}\\ & \hfill \frac{3}{4}=26\mathrm{a}-25\mathrm{b}.\end{array}\\ \begin{array}{l}{19}^{\mathrm{dwt}}⁤4^{\mathrm{gr}}=\text{unc. Germ}={460}^{\mathrm{gr}}.\\ \begin{array}{cc}{480}^{\mathrm{gr}}=\text{Vnc. Tojana}& \text{lib Tr: lib Germ.}\\ {460}^{\mathrm{gr}}\phantom{=\text{Vnc. }}\text{Germanica}& \phantom{\mathrm{li}}18\phantom{\text{Tr: lib}}23\\ {438}^{\mathrm{gr}}\phantom{=\text{Vnc. }}\text{Averdupois}& \end{array}\end{array}\hfill \end{array}$

$\begin{array}{ll}2\text{ ounces }& {38}^{{\mathrm{dw}}^{\mathrm{t}}}\phantom{.0}4⁤\frac{1}{2}\\ 1\text{ ounce }& 19.\\ \frac{1}{2}\text{ ounce }& \phantom{0}9{.}^{\phantom{{\mathrm{dw}}^{\mathrm{t}}}}15⁤\frac{1}{2}\\ \frac{1}{4}\text{ ounce }& \phantom{0}4{.}^{\phantom{{\mathrm{dw}}^{\mathrm{t}}}}22⁤\frac{1}{4}\\ \frac{1}{8}\text{ ounce }& \phantom{0}2{.}^{\phantom{{\mathrm{dw}}^{\mathrm{t}}}}10⁤\frac{1}{2}\end{array}$

<48v>

Libra {so} unciarum 16 ap in Saxonia Brandenburgia Istria &c est $7332⁤\frac{1}{2}$ grana|o|rum Troicorum$={305}^{\mathrm{dwt}}.{12⁤\frac{1}{2}}^{\mathrm{gr}}$. Est ad libram Troicam ut 14 {illeg}d 11.     25 unciæ Angl. faciunt 26 uncias Germanicas.

For
Isaac Newton Es
Warden of the
Mint
These