Regulations. 25. (1) The Senate, with the sanction of the Government, may from time to time make regulations consistent with the Act of Incorporation as amended by this Act and with this Act to provide for all matters relating to the University. Regulations. (2) In particular, and without prejudice to the generality of the foregoing power, such regulations may provide for (a) the procedure to be followed in holding any election of Ordinary Fellows; (b) the consititution, reconstitution or abolition of Faculties, the propor tion in which the members, other than the ex-officio members, of the Syndicate shall be elected to represent the various Faculties, and the mode in which such election shall be conducted. (c) the procedure at meetings of the Senate, Syndicate and Faculties and the quorum of members to be required for the transaction of business; (d) the appointment of Fellows and others to be members of Boards of Studies, and the procedure of such Boards and the quorum of members to be required for the transaction of business; (e) the appointment and duties of the Registrar and of officers and servants of the University, and of Professors and Lecturers appointed by the University; (ƒ) the appointment of Examiners, and the duties and powers of Examiner in relation to the examinations of the University; (g) the form of the certificate to be produced by a candidate for examina tion under section 19 and the conditions on which any such certifi cate may be granted; (h) the registers of Graduates and students to be kept by the University and the fee (if any) to be paid for the entry or retention of a name or any such register; (i) the inspection of Colleges and the reports, returns and other inform ation to be furnished by Colleges; 6) the registers of students to be kept by Colleges affiliated to the Univer sity; (k) the rules to be observed and enforced by Colleges affiliated to th University in respect of the transfer of students; the fees to be paid in respect of the courses of instruction given by Professors or Lecturers appointed by the University; (m) the residence and conduct of students; (n) the courses of study to be followed and the conditions to be complie with by candidates for any University examination, other than a examination for matriculation, and for degrees, diplomas, licenses titles, marks of honour, scholarships and prizes conferred or grante by the University; (o) the conditions to be complied with by schools desiring recognition for the purpose of sending up pupils as candidates for the matriculation examination and the conditions to be complied with by candidates for matriculation, whether sent up by recognised schools or not; (F) the conditions to be complied with by candidates, not being students of any College affiliated to the University, for degrees, diplomas, licenses, titles, marks of honour, scholarships and prizes conferred or granted by the University; and (2) the alteration or cancellation of any rule, regulation, statute or bylaw of the University in force at the commencement of this Act. 26. (1) Within one year after the commencement of this Act, or within (a) the Senate as constituted under this Act shall cause a revised body of (b) if any additions to, or alterations in, the draft submitted appear to the Government to be necessary, the Government, after consulting the Senate, may sanction the proposed body of regulations, with such additions and alterations as appear to the Government to be nccessary. (2) Where a draft body of regulations is not submitted by the Senate within the period of one year after the commencement of this Act, or, within such further period as may be fixed under sub-section (1), the Government may, within one year after the expiry of such period or of such further period, make regulations which shall have the same force as if they had been prepared and sanctioned under sub-section (1). Miscellaneous. 27. The Governor General in Council may, by general or special order define the territorial limits within which, and Territorial exercise of powers. specify the Colleges in respect of which, any powers conferred by or under the Act of Incorporation or this Act shall be exercised. Rector. 28. (1) The Lieutenant-Governor of Bengal for the time being shall be the Rector of the University of Calcutta and shall have precedence in any Convocation of the said University next after the Chancellor and before the ViceChancellor. (2) The Chancellor may delegate any power conferred upon him by the Act of Incorporation or this Act to the Rector. 29. The Acts mentioned in the second schedule are hereby repealed to the extent specified in the fourth column thereof. Repeals. B 1512-B H Page 39, insert the words and figures" For 1904 and 1905" below the words "II.-MATHEMATICS.-Two papers." Page 39, insert the following between lines 11 and 12: "For 1906 and subsequent years." PAPER I. Arithmetic. Simple and compound rules, vulgar and decimal fractions (omitting recurring decimals), contracted methods of multiplication and division proportion, metric system, exchanges, interest, present worth and discount, stocks and shares, profit and loss, square root, square and cubic measure. The use of algebraical symbols and processes shall be permitted. Examples of a difficult nature or involviny lengthy processes should be omitted. Algebra. Simple rules, easy factors, highest common factor and least common multiple (both, as far as solvable by easy factorisation), simple fractions. simple simultaneous equations with not more than two unknown quantities (not involving literal coefficients), easy numerical quadratic equations by factorisation, easy problems on the above types of equations, square root, use of squared paper for plotting points and straight lines, graphical solution of simple simultaneous equations. PAPER II. The questions in practical Geometry shall be set on the constructions contained in Schedule A together with easy extensions of them as riders if desired. A candidate should provide himself with a ruler graduated in inches and tenths of an inch and in centimetres and millimetres, a set square a protractor, compasses and a hard pencil. All figures should be drawn accurately. The questions on theoretical Geometry shall consist of theorems contained in Schedule B, together with questions upon these theorems, easy deductions from them, and arithmetical illustrations. Any proof of a proposition shall be accepted which forms a part of any systematic treatment of the subject; the order in which the theorems are stated in Schedule B is not imposed as the sequence of the treatment. The use of intelligible abbreviations is recommended. SCHEDULE A. Bisection of angles; of straight lines and arcs of circles. Construction of an angle equal to a given angle. Construction of parallels to a given straight line. Simple cases of construction of triangles from sufficient data. Division of straight lines into a number of equal parts. Construction of tangents to a circle. Construction of regular figures of 3, 4, 6, 8 sides in or about a given circle. Description of a circle in or about a triangle and a square. Description of a segment of a circle on a given straight line containing a given angle. SCHEDULE B. Angles at a point. If a straight line stands on another straight line, the sum of the two angles so formed is equal to two right angles; and the converse. If two straight lines intersect, the vertically opposite angles are equal. Parallel Straight Lines. When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right angles, then the two straight lines are parallel; and the converse. Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. If the sides of a convex polygon are produced in order, the sum of the angles so formed is equal to four right angles. If two triangles have two sides of the one equal to two sides of the other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. If two sides of a triangle are equal, the angles opposite to these sides are equal; and the converse. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it; and the converse. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest. The opposite sides and angles of a parallelogram are equal, each diagonal bisects the parallelogram, and the diagonals bisect one another. If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any straight line that cuts them are also equal. Areas. Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles on the same or equal bases and of the same altitude are equal in area. Equal triangles on the same or equal bases are of the same altitude. B 1512-c Illustrations and explanations of the Geometrical theorems correspondin to the following algebraical identities : k (a + b + c + ...) =ka + kb + kc + ...; The square on a side of a triangle is greater than, equal to, or less tha the sum of the squares on the other two sides, according as the ang contained by those sides is obtuse, right or acute. The difference in th cases of inequality is twice the rectangle contained by one of the tw sides and the projection on it of the other. In any triangle the sum of the squares on two sides is equal to twi the square on half the base, together with twice the square on the medi which bisects the base. Loci. The locus of a point which is equidistant from two fixed points is t perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two intersecting straig lines consists of the pair of straight lines which bisect the angles betwe the two given lines. The Circle. A straight line drawn from the centre of a circle to bisect a chord wh is not a diameter, is at right angles to the chord; conversely, the perpen cular to a chord from the centre bisects the chord. There is one circle, and one only, which passes through three gi points not in a straight line. In equal circles (or in the same circle) (i) if two arcs subtend equal ang at the centres, they are equal; (ii) conversely, if two arcs are equal, t subtend equal angles at the centres. In equal circles (or in the same circle) (i) if two chords are equal t cut off equal arcs; (ii) conversely, if two arcs are equal, the chords of arcs are equal. Equal chords of a circle are equidistant from the centre; and converse. The tangent at any point of a circle and the radius through the p are perpendicular to one another. If two tangents are drawn to a circle from an external point (i) the tangents are equal, (ii) they subtend equal angles at the centre of the circle, (iii) they make equal angles with the straight line joining the gi point to the centre. If two circles touch, the point of contact lies on the straight line thro the centres. The angle which an arc of a circle subtends at the centre is double which it subtends at any point on the remaining part of the circumfere |