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 the Meridian in degrees & Minutes whose declination being suppoased to be in theese our times – ${87}^{\mathrm{degrees}}={36}^{\mathrm{minutes}}$: by which Declination I have Calculated theese tables which I suppoase may hold good Especially in the Altitude which is Above Or Below the pole for Every Hour which is for Every Tenth Latitude from $60$: To the Equinoctiall / And as for the Azimuth I have heare in Like manner shewede it in degrees & minutes Being counted from the North / But this way of Azimuth is Calculated without haveing any Respect at All to the Altitude and by such a duble way of workeing in such an Eaysey manner that it may be supposed to be moore dubius but seemeingly very plauseable so that the product of one Simple Multiplycation being Added & Substacted To or from a Nother given sum & Likewise the halfe of the product given which so done sheweth the Hourly Azimuth for :6: Hours vizd for 10 or 2 before the North Meridian And 10 Or 2 before the South Meridian & Likewise for the Hour of 6: And likewise the Rest of the Other Hours in the same manner by a doble way of workeing: As suppose that the North Star Comes to the Meridian at the Hour of 12: at midnight & I would Have the Azimuth at 10 at night and 2 in the Morning and 10 in the 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 at night & 3 in the Morning & 9 in the Morning and 3 in the Affernoon which foure hours ar wrought by the product of one simple Multiplication which is by onley Adding it to Or Substacting it from a Nother Summ given: so that the 24 Hours Azimuth is found by the product of 5 summs of multiplication: by Addition & {Substraction}: which maketh mee something to dout of the Exactness theareof: therefore I would desire you if time will permit to Examine the Table for the truth thereof which if it hold Good; I suppose that there cannot well be a More Eaysey 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 pricked by the Minutes Sum Small prickes Every prick being 1 quarter of a minute which if it be before the minute it is less if after more: for I might as well sett downe the series as the minutes which was as dearley shewed in the Calculation but being needless I did omit it: therfore I would desire you to Examine the 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 September: Haveing no moore at present 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 Trinity College
In Cambridg
{p^rs}