17 January – Jacobite rising:
Battle of Falkirk Muir – British Government troops are defeated by Jacobite forces.
1 February – as retreating Jacobite forces remove munitions stored in the church at
St. Ninians (near Stirling), it blows up.
21 February – Jacobite rising:
Siege of Inverness ends with British government forces surrendering Old Fort George to the Jacobite army under threat of
mining.[1]
8 April – Jacobite rising: Jacobite supporters sack
Cullen House.
3 May – Jacobite rising: "Battle of Loch nan Uamh" – Royal Navy
sloops attack French
privateers which have landed money (and brandy) intended to aid the Jacobite cause in the
Sound of Arisaig.[2]
28 May – Jacobite rising: British troops burn the old castle at
Achnacarry.
Matthew Stewart publishes Some General Theorems of Considerable use in the Higher Parts of Mathematics, including an account of
Stewart's theorem on the measurement of the
triangle.