The present volume contains 84 papers numbered 300 to 383 published for the most part in the years 1861 to 1866: No. 378, Report on Catalogue of Philosophical Memoirs, was however published in the British Association Report for 1856, and No. 379, Notices of Communications to the British Association, were published in the British Association Reports 1854 to 1864 : the concluding Paper 383, Problems and Solutions, contains problems for the most part geometrical ones proposed or solved by me in the Educational Times in the years 1863 to 1865. (From author's preface)