Letter from Arthur Storer to Isaac Newton, dated 10 August 1678

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$\begin{array}{|l|}\hline \begin{array}{cc}\begin{array}{c}\phantom{\text{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}}\end{array}& \begin{array}{lllllllllllllllllll}& \hfill \begin{array}{c}{\text{y}}^{\text{e}}\\ \text{Latitude}\end{array}\hfill & & \hfill \begin{array}{c}12\\ 0\end{array}\hfill & \hfill \begin{array}{c}11\\ 1\end{array}\hfill & \hfill \begin{array}{c}10\\ 2\end{array}\hfill & \hfill \begin{array}{c}9\\ 3\end{array}\hfill & \hfill \begin{array}{c}8\\ 4\end{array}\hfill & \hfill \begin{array}{c}7\\ 5\end{array}\hfill & \hfill \begin{array}{c}6\\ 6\end{array}\hfill & \hfill \begin{array}{c}5\\ 7\end{array}\hfill & \hfill \begin{array}{c}4\\ 8\end{array}\hfill & \hfill \begin{array}{c}3\\ 9\end{array}\hfill & \hfill \begin{array}{c}2\\ 10\end{array}\hfill & \hfill \begin{array}{c}1\\ 11\end{array}\hfill & \hfill \begin{array}{c}12\\ 0\end{array}\hfill & & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & & & {\text{ deg}}^{\text{rs}}\text{min }& {\text{ deg}}^{\text{rs}}\text{min }& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& \text{under }{\text{y}}^{\text{e}}\text{ pole}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\phantom{\text{ deg}}}^{\phantom{\text{rs}}}\phantom{\text{min }}& {\text{ deg}}^{\text{rs}}\text{min }& {\text{ deg}}^{\text{rs}}\text{min }& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \end{array}\end{array}\\ \\ \\ \begin{array}{cc}\begin{array}{c}\text{A Table of}\\ \text{the North Stars}\\ \text{Hourly Altitude}\\ \text{from}{\text{y}}^{\text{e}}\text{Meridian:}\\ \text{Being Above}\\ \text{the Pole to the}\\ \text{Hour of :6: \& then}\\ \text{under}{\text{y}}^{\text{e}}\text{Pole}\\ \text{to the Hour of 12:}\\ \text{The North Stars}\\ \text{Destination being}\\ \stackrel{\text{degs min}}{87=36}\\ \phantom{\text{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}}\end{array}& \begin{array}{lllllllllllllllllll}& \hfill 60\hfill & & 2=24& 2=19& 2=03:& 1=39·& 1=08:& 0=32:& 0=05·& 0=42·& 1=16·& 1=\underset{.·}{45}& 2=\phantom{0}8:& 2=\underset{.·}{20}& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 53\hfill & & 2=24& 2=19& 2=04& 1=40& 1=\underset{.·}{10}& 0=34& 0=04& 0=41& 1=14& 1=44& 2=07:& 2=\underset{.·}{20}& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 50\hfill & & 2=24& 2=19& 2=04& 1=40& 1=\underset{.·}{10}& 0=34& 0=\underset{.·}{04}& 0=41& 1=14·& 1=43:& 2=\underset{.·}{06}& 2=\underset{.·}{20}& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 40\hfill & & 2=24& 2=19& 2=04& 1=40& 1=10& 0=35& 0=03& 0=\underset{.·}{40}& 1=\underset{.·}{14}& 1=43& 2=05·& 2=19·& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 30\hfill & & 2=24& 2=19·& 2=04:& 1=41& 1=11& 0=35:& 0=02& 0=\underset{.·}{39}& 1=13·& 1=\underset{.}{43}& 2=05& 2=19& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 20\hfill & & 2=24& 2=19& 2=04& 1=41& 1=11& 0=36& 0=01& 0=38& 1=\underset{.·}{13}& 1=42& 2=05& 2=\underset{·}{19}& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 10\hfill & & 2=24& 2=19& 2=\underset{.·}{05}& 1=41& 1=12& 0=37& 0=00:& 0=37:& 1=12& 1=42& 2=05& 2=19& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 0\hfill & & 2=24& 2=19& 2=05& 1=\underset{.}{42}& 1=12& 0=37:& 0=00& 0=37:& 1=12& 1=42& 2=05& 2=19& 2=24& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \phantom{\text{Latitude}}& & \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& {\text{ deg}}^{\text{s}\phantom{\text{r}}}\text{min }& {\text{ deg}}^{\text{s}\phantom{\text{r}}}\text{min }& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{\text{under }{\text{y}}^{\text{e}}\text{ pole}}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& {\text{ deg}}^{\text{rs}}\text{min }& {\text{ deg}}^{\text{rs}}\text{min }& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \end{array}\end{array}\\ \\ \\ \begin{array}{cc}\begin{array}{c}\text{A Table of}\\ \text{the North Stars}\\ \text{Hourly Azimuth}\\ \text{from}{\text{y}}^{\text{e}}\text{North}\\ \text{At Every Hour}\\ \text{from}{\text{y}}^{\text{e}}\text{Meridian:}\\ \text{Eather Before or}\\ \text{Affter: in}{\text{deg}}^{\text{rs}}\\ \text{\& Min}\\ \text{The Declination}\\ \text{being}87=36\\ \text{from}{\text{y}}^{\text{e}}\text{Equinoctiall}\\ \text{to}\stackrel{degr}{:60:}\text{of}\\ \text{Latitude North}\\ \phantom{\text{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}}\end{array}& \begin{array}{lllllllllllllllllll}& \hfill \underset{\phantom{.·}}{60}\hfill & & \begin{array}{c}\text{North}\\ \text{above}\\ \text{the pole}\\ 0=\underset{\phantom{.·}}{00}\end{array}& 1=\underset{\phantom{.·}}{20}·& 2=\underset{\phantom{.}·}{35}& 3=\underset{\phantom{.·}}{34}:& 4=\underset{\phantom{.·}}{18}:& 4=\underset{\phantom{.·}}{43}& 4=\underset{\phantom{.}·}{48}& 4=\underset{\phantom{.·}}{33}& 4=\underset{\phantom{.·}}{00}:& 3=\underset{\phantom{.·}}{14}& 2=\underset{\phantom{.·}}{15}:& 1=\underset{·}{10}& 0=\underset{\phantom{.·}}{00}& & \begin{array}{c}\text{North}\\ \text{under}\\ {\text{y}}^{\text{e}}\text{pole}\\ 0=\underset{\phantom{.·}}{00}\end{array}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 53\hfill & & 0=00& 1=05& 2=06& 2=56·& 3=33& 3=54& 3=59& 3=48& 3=21& 2=43& 1=54& 0=59& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 50\hfill & & 0=00& 1=01& 1=57& 2=44·& 3=19& 3=39& 3=43⁝& 3=33& 3=09:& 2=33& 1=47& 0=55& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 40\hfill & & 0=00& 0=51& 1=37& 2=16& 2=46& 3=03& 3=08& 3=00& 2=40& 2=10& 1=31& 0=47& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 30\hfill & & 0=00& 0=44·& 1=\underset{·}{25}& 2=\underset{·}{00}& 2=\underset{·}{26}& 2=\underset{·}{42}& 2=\underset{\phantom{·}}{46}·& 2=\underset{·}{40}& 2=22·& 1=\underset{·}{56}& 1=21:& 0=42·& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 20\hfill & & 0=00& 0=40:& 1=\underset{·}{18}& 1=\underset{·}{50}& 2=\underset{·}{14}& 2=\underset{.·}{29}& 2=33& 2=27:& 2=\underset{·}{12}& 1=47& 1=\underset{·}{16}& 0=39·& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 10\hfill & & 0=00& 0=38:& 1=\underset{·}{14}& 1=44& 2=07& 2=21:& 2=26·& 2=\underset{·}{21}& 2=06·& 01=43& 1=13·& 0=\underset{.·}{38}& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \hfill 0\hfill & & 0=00& 0=37·& 1=12& 1=\underset{·}{42}& 1=12& 0=37:& 0=00& 0=37:& 1=12& 1=\underset{·}{42}& 1=17& 0=37& 0=00& & \phantom{\text{\_\_\_\_\_\_\_\_\_}}& \\ & & & & & & & & & & & & & & & & & & \\ & \phantom{\text{Latitude}}& & \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{\text{under }{\text{y}}^{\text{e}}\text{ pole}}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& \phantom{{\text{ deg}}^{\text{rs}}\text{min }}& & & \end{array}\end{array}\\ \hline\end{array}$

S^ir

Haveing spent somme time In Calculating the Sun & fixed Stars Hourly Altitude & Azimuth: I have heare in this Small Table shewed the Hourly Altitude & Azimuth of the North Star for Every Hour from y^e Meridian in deg^rs & Min whose declination being suppoased to be in theese our times – ${87}^{\mathrm{degrees}}={36}^{\mathrm{minutes}}$: by w^ch Declination I have Calculated theese tables w^ch I suppoase may hold good Especially in the Altitude w^ch is Above Or Below the pole for Every Hour w^ch is for Every Tenth Latitude from $60$: To the Equinoctiall / And as for the Azimuth I have heare in Like manner shewede it in deg & min Being counted from y^e North / But this way of Azimuth is Calculated without haveing any Respect at All to y^e Altitude and by such a duble way of workeing in such an Eaysey way manner that it may be supposed to be moore dubius but seemeingly very plauseable so y^t the product of one Simple Multiplycation being Added & Substacted {illeg}|T|o or from a Nother given sum & Likewise the halfe of the product given w^ch so done sheweth the Hourly Azimuth for :6: Hours vizd for 10 or 2 before the North Meridian {illeg} And 10 Or 2 before the South Meridian & Likewise for y^e Hour of 6: And likewise the Rest of the Other Hours in y^e same manner by a doble way of workeing: As suppose y^t the North Stars Comes to y^e Meridian at y^e Hour of 12: at midnight & I would Have y^e Azimuth at 10 at night and 2 in the Morning and 10 in y^e morning and 2 in the Affter Noon & Likewise 6 in the Morning & :6: at night these Six hours of the North Star Or the Sunn Or Any Other Stars Azimuth is found \in/ the like Manner But for Any Other Hour as suppoase 9 in y^e at night & 3 in y^e Morning & 5|9| in the Morning and 3 in the Affernoon w^ch foure hours ar wrought by the product of one simple Multiplication w^ch is by onley Adding it to Or Substacting it from a Nother Summ given: so y^t the 24 Hours Azimuth is Resol found by the product of 5 sumss of multiplication: by Addition & {Substraction}: w^ch maketh mee som{illeg}|e|thing to dout of the Exactness theareof: therefore I would desire you if time will permit to Examine the Table for the truth thereof w^ch if it hold Good; I suppose that there cannot well be a More Eaysey & E{illeg} way of Callculation of Hourly Azimuth I have in many places Not onely sett doune the degree & minute of the Azimuth but I have likewise pr{illeg}|i|cked by the Minutes Sum Small prickes Every prick being {illeg}|1| quarter of a minute w^ch if it be before y^e min it is less if after more: for I might as well sett downe y^e ser as the minutes w^ch was as dearley shewed in the Calculation but being needless I did omit it: therfore I would desire you to Examine y^e Table & give me Notice of the truth thereof as soone as may be for I shall wery shortley Be for Mary Land: hoping to be at London by the Latter End of this Month or the beginning of the Next Sept: Hav\e/ing no moore at p^rsent I Remaine at your Command to serve you.

Arthur Storer

Boothby Aug: 10^th 1678.

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If I should be at London before you wright you may direct your Letter To M^r William Kings Junior Silke weaver in three horshoo Alley in Old Street:

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For M^r Isaac Newton of Trin^r {sic} Coll
In Cambridg
{p^rs}