Any cadet of indifferent conduct will be reported by the captain to the Lords Commissioners of the Admiralty, who may dismiss him summarily. IX. No cadet will be allowed to count more than three months in the training ship towards sea-time. BOOKS, ETC. REQUIRED ON ENTRY. Sextant, box of mathematical instruments, spyglass, French grammar and dictionary (including sea terms), a book on navigation, Euclid's Elements, geography, book on the use of mathematical and nautical instruments, book on the steam engine, Colenso's Arithmetic and Algebra, Jeans' Trigonometry. The examination on leaving the training ship is to include all the subjects of the examination on entry except Latin, and the following in addition:-- Arithmetic: involution, extraction of square root. Algebra: simple equations. The elements of geometry. Plane trigonometry, including the solution of practical and useful problems. Spherical trigonometry: solution of triangles, and application to nautical astronomy. Navigation: day's work--meridian altitude, longitude by chronometer, to be able to explain and use the sextant, azimuth compass, artificial horizon, and theodolite. French: any selection from the first fifty lessons in Ollendorf, and to read, parse, and translate a passage. A certificate must be obtained from the captain and the master of proficiency in rigging, seamanship, etc.; also one of conduct and attention from the naval instructor. APPENDIX III. _ADMIRALTY CIRCULAR, August 3rd, 1869._ The Lords Commissioners of the Admiralty having decided-- I. To increase the time during which naval cadets will be under training; II. To introduce the system of limited competition for naval cadetships; III. Still further to reduce the number of naval cadets entered annually; have been pleased to make the following regulations:-- (1) These regulations will take effect after the examination in August, 1869. (2) Two examinations for naval cadetships will be held annually, under the direction of the Admiralty Director of Education--viz. on the third Wednesday in June and the last Wednesday in November; but the appointments as cadets of the successful candidates will date from July 15th and January 15th. (3) The first examination under these regulations will take place in November, 1869. (4) No candidate will be eligible for examination whose age will not be within the prescribed limits on January 15th following; nor for examination in June whose age will not be within the prescribed limits on July 15th following. (5) The limits of age for examination in November, 1869, will be not less than 12 or more than 14; for June, 1870, 12 to 13-1/2; and subsequently 12 to 13. (6) The number to be entered at each examination is 37, and twice that number will be nominated. (7) Every candidate will be required to pass a medical examination.