Paper, 'On a remarkable application of Cotes's theorem' by J F W [John Frederick William] Herschel A binding error has resulted in the final page of PT/7/1 being inserted into the volume after page 4 of this manuscript. Illustrations for this paper have been separated from the manuscript and are found at PT/73/4/1. Subject: Mathematics Published in Philosophical Transactions as 'On a remarkable application of Cotes's theorem'. Written by Herschel in Slough. Communicated by William Herschel. Read 12 November 1812. Abstract published in Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society of London], Volume 1, 1832. 6 October 1812