Holograph notes on possible subjects and mottoes for George I's Coronation medal

<316r>

The hand putting on the Crown represents Providence

The Motto may be
Favente Deo,
or
Favente Deo, gaudente populo.
or
Plaudentibus populis.
or
ob securitatem publicam
or
Fide publica
or
In auguratus above & only the date below.
Time may be taken to think of the {illeg}best Motto before the Puncheons are finished.

Themanner  {sic}is only s{illeg}

For if from any regular series you sub{illeg}duct all the terms but the lafirst or two or three first there will be produced a new series equall to the terms {illeg}wch are were not subducted. So from the series $\frac{\mathrm{1}}{\mathrm{1}}$ + $\frac{\mathrm{1}}{\mathrm{2}}$ + $\frac{\mathrm{1}}{\mathrm{3}}$ + $\frac{\mathrm{1}}{\mathrm{4}}$ + $\frac{\mathrm{1}}{\mathrm{5}}$ + & subduct all the terms but the first & there will remain a new series equal to the first term vizt

= =	{	$\frac{\mathrm{1}}{\mathrm{1}}$ + $\frac{\mathrm{1}}{\mathrm{2}}$ + $\frac{\mathrm{1}}{\mathrm{3}}$ + $\frac{\mathrm{1}}{\mathrm{4}}$ + $\frac{\mathrm{1}}{\mathrm{5}}$ &c	}	= 1.
		− $\frac{\mathrm{1}}{\mathrm{2}}$ − $\frac{\mathrm{1}}{\mathrm{3}}$ − $\frac{\mathrm{1}}{\mathrm{4}}$ − $\frac{\mathrm{1}}{\mathrm{5}}$ − $\frac{\mathrm{1}}{\mathrm{6}}$ &c
		$\frac{\mathrm{1}}{\mathrm{1,2}}$ + $\frac{\mathrm{1}}{\mathrm{2,3}}$ + $\frac{\mathrm{1}}{\mathrm{3,4}}$ + $\frac{\mathrm{1}}{\mathrm{4,5}}$ + $\frac{\mathrm{1}}{\mathrm{5,6}}$	&c	= 1.

or {sic}	{illeg}$\frac{\mathrm{}}{\mathrm{}}$ $\frac{\mathrm{1}}{\mathrm{1}}$ + $\frac{\mathrm{1}}{\mathrm{2}}$ + $\frac{\mathrm{1}}{\mathrm{3}}$ + $\frac{\mathrm{1}}{\mathrm{4}}$
	− $\frac{\mathrm{1}}{\mathrm{2}}$ − $\frac{\mathrm{1}}{\mathrm{3}}$ − $\frac{\mathrm{1}}{\mathrm{4}}$ − $\frac{\mathrm{1}}{\mathrm{5}}$ − $\frac{\mathrm{1}}{\mathrm{6}}$ − $\frac{\mathrm{1}}{\mathrm{7}}$ − $\frac{\mathrm{1}}{\mathrm{8}}$ − $\frac{\mathrm{1}}{\mathrm{9}}$ −
	$\frac{\mathrm{1}}{\mathrm{1,2}}$ + $\frac{\mathrm{1}}{\mathrm{2x3}}$ + $\frac{\mathrm{1}}{\mathrm{4x5}}$ + $\frac{\mathrm{1}}{\mathrm{6x7}}$ + $\frac{\mathrm{1}}{\mathrm{8x9}}$ + &c = 1.

Another Draft of this sortmighymight be a Woman present the King with a Governail, & the Woman might be either with a Scepterspear in {sic} in her left hand to represent Great Britain or with a in a Veil to Represent Religion.

The following designe is also proposed. to me. In allusion to the Kings Arms as Elector of Hannover, wch is a pransing horse wthout bridle or sadle: A Pegasus flying with this Motto Altius negus{illeg}, infinus nolo.

<316v>

The Motto may be historical namely vizt suppose Procerib. et pop. consent. & below in the exercue {illeg} Or above In anAbove, Coronat. et inunct. Oct. & below, MDCCXIV. Or {illeg} any other of the Mottos where the king is on the Reverse or wch can be thought of before the Puncheons ofbe finished And if it be thought fit to express the liberty of the people ( {sic}gt Britain according to the seatled constitution, it may be done by drawing a yoke under the foot of Bri- tannia.	Silver 5s 7d per oz & 1d refining = 5s 8d per oz = 5335li 8s per lwt = 20medalles. 20 medalls = 3.18s. 200 medalls = 39li, {illeg}1200 = 234li Gold = 4li {illeg}7s pr oz. refining 1s per oz. Gold & refining 4li. 9s per oz = 52li. 16s per lwt = 16 medalls. Coin ing 3s pr Medall. Gold & Coyning = 55li. 4s = 1lwt = 16 medalls. 80 medalls = 276li. {illeg}300 Medalls = {sic} 690li 200 Medalls = 1{illeg}035. 1200 ☾ = 234. 1269.
	22 silver Medals = 12oz = 3li 7s silver, 1s refining & 2211s workmanship = 3li 19s = 4li. − 1s 1200 medalls = 200li − {illeg} 2li 10s + 18li 4. 6 + 3. {illeg} = 215. 18s. 0d {illeg}80 Gold Medalls = 276li. 100 Gold medalls = 276 + 69 = 345li. 200 G. Med = 690li. 1200 S. Med = 215. 18s 905. 18
828 552 138 138 69 690 1035

{illeg} in {illeg} he names the differences of monies as your may see in Lib. 2, Prop. XIV] {sic} in cas And in Lib. 11 Princip Prop. XIV he called the second difference the differentce of moments.