THE HONG KONG GOVERNMENT GAZETTE, DECEMBER 24, 1930. 693
grade of certificate prior to 1st January, 1931, may (subject to the provisions of paragraph 19) be re-examined after that date for the grade of certificate for which they have previously failed without performing any additional sea service. All candidates who undergo their first examination for a particular grade of certificate on or after 1st January, 1931, will be required to qualify under the rovised sea service rules.
On and after 1st January, 1931, candidates for all grades of certificate will be examined in accordance with the revised syllabuses contained in these Rules.
SECOND MATE (FOREIGN-GOING).
29. Qualifications. A candidate must be not less than twenty years of age, and must have served four years at sea in foreign-going ships or the equivalent, six years, in home trade ships.
Syllabus.
30. General.--Candidates should demonstrate their understanding of their work by means of sketches and figures drawn with reasonable accuracy but not to scale.
The "Knowledge of Principles" paper is intended to test the candidate's grasp of fundamental technical ideas and pro- cesses required in his work at sea. Mathematical proofs of formulae are not required, but a candidate should be able to demonstrate the truth of a formula by means of a figure where possible.
31. Paper 1. (Written.)
Knowledge of Principles. (3 hours.)
(a) The reading of simple graphical diagrams, eg., stability curves, weather statistics, etc.
(b) The practical use of logarithms to base 10; their use in simple calculations involving multiplication, division, simple powers and roots.
(c) Areas and perimeters of rectangle, triangle, circle, volumes, and surface areas of box-shaped bodies, cylinders and wedges. Practical applications, e.g., weight of general cargo of varied shapes; capacities of holds and bunkers; weight of contents of bunkers.
(d) Plane sections of a sphere. Great and small circles. Angle between two great circles. Shortest distance between two points on a sphere. Formation of spherical triangles. Sides and angles of spherical triangles.
(e) Trigonometrical ratios--sine, cosine, tangent, cose- cant, secant cotangent; haversine.
The simple relations between these ratios. The relation between the ratios of angles which together make (a) one right angle (b) two right angles-e.g., the sine of an angle
the cosine of its complement, etc.
The solution of a plane right-angled triangle. Use of the Traverse Table for solving right-angled triangles. Practical problems on right-angled triangles, e.g., doubling the angle on the bow, four-point hearing, danger angles, distance from a point of land of known height, etc.
(f) Given two sides and the included angle of a spherical triangle, to find the third side
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