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 best Motto before the Puncheons are finished.

For if from any regular series you subduct all the terms but the first or two or three first there will be produced a new series equall to the terms which 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.

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

The following designe is also proposed. In allusion to the Kings Arms as Elector of Hannover, which is a pransing horse without bridle or sadle: A Pegasus flying with this Motto Altius negus, infinus nolo.

<316v>

The Motto may be historical suppose Procerib. et pop. consent. & below in the exercue Or Above, Coronat. et inunct. Oct. & below, MDCCXIV. Or any other of the Mottos where the king is on the Reverse or which can be thought of before the Puncheons be finished And if it be thought fit to express the liberty of the people gt Britain according to the setled constitution, it may be done by drawing a yoke under the foot of Bri- tannia.	Silver 5s 7d per ounce & 1d refining = 5s 8d per ounce = 35li 8s per pound weight = 20medalles. 20 medalls = 3.18s. 200 medalls = 39li, 1200 = 234li Gold = 4li 7s per ounce. refining 1s per ounce. Gold & refining 4li. 9s per ounce = 52li. 16s per pound weight = 16 medalls. Coin ing 3s per Medall. Gold & Coyning = 55li. 4s = 1lwt = 16 medalls. 80 medalls = 276li. 300 Medalls = 1035. 1200 ☾ = 234. 1269.
	22 silver Medals = 12oz = 3li 7s silver, 1s refining & 11s workmanship = 3li 19s = 4li. − 1s 1200 medalls = 200li − 2li 10s + 18li 4. 6 + 3. {illeg} = 215. 18s. 0d 80 Gold Medalls = 276li. 100 Gold medalls = 276 + 69 = 345li. 200 Gold Medalls = 690li. 1200 Silver Medalls = 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 And in Lib. 11 Princip Prop. XIV he called the second difference the difference of moments.