n 5. That on the Monday previous to the commencement of the Examiration the Examiners shall publish the names of the persons to be examined, uranged in alphabetical order, and separated into two divisions. 6. That the distribution of the Subjects and Times of Examination shall e according to the preceding Schedule. 7. That the Examination shall be conducted entirely by printed papers. 8. That the Papers in the Classical Subjects and in the Acts and Epistles hall consist of passages to be translated, accompanied with such plain Quesions in Grammar, History and Geography, as arise immediately out of those assages. 9. That the Papers in the Mathematical Subjects shall consist of quesions in Arithmetic and Algebra, and of Propositions in Euclid, Mechanics, nd Hydrostatics, according to the annexed Schedule: and also of such Questions and applications as arise directly out of the aforementioned prosositions. 10. That no person shall be approved by the Examiners, unless he shew i competent knowledge of all the subjects of the Examination. 11. That there shall be three additional Examinations in every year; the irst commencing on the Thursday preceding Ash-Wednesday, the second on be Thursday preceding the Division of the Easter Term, and the third on he Thursday preceding the Division of the Michaelmas. Term. 12. That in these additional Examinations the distribution of the subects and the hours of the Examination shall be at the discretion of the Exminers, the subjects being the same as at the Examination in the preceding january. 13. That no person shall be allowed to attend any Examination whose lame is not sent by the Prælector of his College to the Examiners before he cornmencement of the Examination. 14. That in every year at the first Congregation after the 10th day of Jctober, the Senate shall elect four Examiners, (who shall be members of he Senate, and nominated by the several Colleges according to the Cycle of Proctors and Taxors) to assist in conducting the Examinations of the three pllowing Terms. 15. That two of these Examiners shall confine themselves to the Classical Sabjects, and two to Paley's Moral Philosophy, Ecclesiastical History, the iets of the Apostles, and the Epistles. 16. That the two Examiners in the Mathematical Subjects, at the Exmination in January, be as hitherto the Moderators of the year next but one reeeding; and that at the other three Examinations the Moderators for the ime being examine in the Mathematical Subjects. 17. That each of the six Examiners shall receive £20 from the Univerity Chest. 18. That the Pro-Proctors and two at least of the Examiners attend in he Senate-House during each portion of the Examination in January. SCHEDULE OF THE ORDER OF DAYS, HOURS, SUBJECTS, AND EXAMINERS AT THE GENERAL QUESTIONISTS' EXAMINATION. SCHEDULE of MATHEMATICAL SUBJECTS of Examination, for the Degree of B.A. of Persons not Candidates for Honors. ARITHMETIC. Addition, subtraction, multiplication, division, reduction, rule of three the same rules in vulgar and decimal fractions : practice, simple and compound interest, discount, extraction of square and cube roots; du decimals, together with the proofs of the Rules and the reasons for the processes employed. ALGEBRA. 1. Definitions and explanations of algebraical signs and terms 2. Addition, subtraction, multiplication and division of simple algebraical quantities and simple algebraical fractions. 3. Algebraical definitions of ratio and proportion. 4. If a : :: :, then a d=bc, and the converse : also b: 0 :: 0 :C, and a :c :: 6 :d, and a +b:b :: c+d: d, 5. If a :b :: 0 :d, and c:d :: e:f, then a : b :: e : f. 6. If a :b :: 0 :d, and b:e :: d:f, then a :e::C:f. 7. Geometrical definition of Proportion. (Euc. Book v. Def. 5.) 8. If quantities be proportional according to the algebraical definition, the are proportional according to the geometrical definition. 9. Definition of a quantity varying as another, directly, or inversely, or as twa others jointly. 10. Easy equations of a degree not higher than the second, involving one two, unknown quantities, and Questions producing such Equations. EUCLID, Book 1. II. III. MECHANICS. The Lever, Definition of Lever. Axioms. Prop. 1. A horizontal prism or cylinder of uniform density will produce the same effect by its weight as if it were collected at its middle poini. Prop. 2. If two weights acting perpendicularly on a straight leveres opposite sides of the fulcrum balance each other, they are inversely as the i distances from the fulcrum; and the pressure on the fulcrum is equal ta their sum. Prop. 3. If two forces acting perpendicularly on a straight lever in ope posite directions and on the same side of the fulcrum balance each othea they are inversely as their distances from the fulcrum; and the pressure oa the fulcrum is equal to the difference of the forces. Prop. 4. To explain the kinds of levers. Prop. 5. If two forces acting perpendicularly at the extremities of the rms of any lever balance each other, they are inversely as the arms. Prop. 6. If two forces acting at any angles on the arms of any lever alance each other, they are inversely as the perpendiculars drawn from the lcrum to the directions in which the forces act. Prop. 7. If two weights balance each other on a straight lever when it horizontal, they will balance each other in every position of the lever. Composition and Resolution of Forces. Definition of Component and Resultant Forces. Prop. 8. If the adjacent sides of a parallelogram represent the comonent forces in direction and magnitude, the diagonal will represent the sultant force in direction and magnitude. Prop. 9. If three forces, represented in magnitude and direction by the des of a triangle, act on a point, they will keep it at rest. And also of such Questions and Applications as arise directly out of be aforenamed Propositions. Mechanical Powers. Definition of Wheel and Axle. Prop. 10. There is an equilibrium upon the wheel and axle when the ower is to the weight as the radius of the axle to the radius of the wheel. Definition of Pulley. Prop. 11. In the single moveable pulley where the strings are parallel, here is an equilibrium when the power is to the weight as 1 to 2. Prop. 12. In a system in which the same string passes round any numer of pulleys, and the parts of it between the pulleys are parallel, there is n equilibrium when power (P) weight (W):: 1 : the number of strings at be lower block. Prop. 13. In a system in which each pulley bangs by a separate string, nd the strings are parallel, there is an equilibrium when P: W:: 1 : that power of 2 whose index is the number of moveable pulleys. Prop. 14. The weight (W) being on an inclined plane, and the force (P) leting parallel to the plane, there is an equilibrium when Ộ :W:: the height if the plane : its length. Definition of Velocity. Prop. 15. Assuming that the arcs which subtend equal angles at the entres of two circles are as the radii of the circles, to shew that if P and W alance each other on the wheel and axle, and the whole be put in motion, P:W:: W's velocity : P's velocity. Prop. 16. To shew that if P and W balance each other in the machines lescribed in propositions 11, 12, 13, and 14, and the whole be put in motion, P:W :: W's velocity in the direction of gravity : P's velocity. The Centre of Gravity. Definition of Centre of Gravity. Prop. 17. If a body balance itself on a line in all positions, the centre of gravity is in that line. Prop. 18. To find the centre of gravity of two heavy points ; and to shew hat the pressure at the centre of gravity is equal to the sum of the weights a all positions. Prop. 19. To find the centre of gravity of any number of heavy points ; iod to shew that the pressure at the centre of gravity is equal to the sum of he weights in all positions. |