Unpublished paper, 'On the rectification and quadrature of the spherical ellipse' by James Booth Booth establishes two fundamental theorems applicable to the quadrature and the rectification of the spherical ellipse. Annotations in pencil throughout. Subject: Mathematics / Geometry Received 6 May 1842. Communicated by J T [John Thomas] Graves. Whilst the Royal Society declined to publish this paper in full, an abstract of the paper was published in volume 4 of Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society] as 'On the rectification and quadrature of the spherical ellipse'. 1842