Portraits of the Rev. Dr Alexander Carlyle (1722-1805), minister of Inveresk (1748-1805)
The Preserver of the Church from Fanaticism, by John Kay, in his A Series of Original Portraits & Caricature Etchings (New edition, vol. 1, Adam & Charles Black, Edinburgh, 1877, facing p. 65).
From a painting by Archibald Skirving (1749-1819) in the Scottish National Portrait Gallery, Edinburgh.
For more information about "Jupiter" Carlyle, see Alexander Carlyle at Wikipedia.