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Prop. 20. To find the centre of gravity of a straight line. Prop. 21. To find the centre of gravity of a triangle. Prop. 22. When a body is placed on a horizontal plane, it will stand ou fall, according as the vertical line, drawn from its centre of gravity, falls within or without its base.
Prop. 23. When a body is suspended from a point, it will rest with it centre of gravity in the vertical line passing through the point of suspension.
Pressure of non-elastic Fluids.
Prop. 2. The pressure upon any particle of a fluid of uniform density is proportional to its depth below the surface of the fluid.
Prop. 3. The surface of every Auid at rest is horizontal.
Prop. 4. If a vessel, the bottom of which is horizontal and the sides vertical, be filled with fluid, the pressure upon the bottom will be equal to the weight of the fluid.
Prop. 5. To explain the hydrostatic paradox.
Prop. 6. If a body floats on a fluid, it displaces as much of the fluid as is equal in weight to the weight of the body; and it presses downwards and is pressed upwards with a force equal to the weight of the Auid displaced.
Specific Gravities. Definition of Specific Gravity.
Prop. 7. If M be the magnitude of a body, S its specific gravity, and W its weight, W = MS.
Prop. 8. When a body of uniform density floats on a fluid, the part immersed : the whole body :: the specific gravity of the body : the specific gravity of the fluid.
Prop. 9. When a body is immersed in fluid, the weight lost : whole weight of the body :: the specific gravity of the fluid : the specific gravity of the body.
Prop. 10. To describe the hydrostatic balance, and to shew how to find the specific gravity of a body by means of it, lst, when its specific gravity is greater than that of the fluid in which it is weighed ; 2ndly, when it is less.
Prop. 11. To describe the common hydrometer, and to shew how to compare the specific gravities of two fluids by means of it,
Elastic Fluids. Prop. 12. Air has weight.
Prop. 13. The elastic force of air at a given temperature varies as the density.
Prop. 14. The elastic force of air is increased by an increase of tem. perature.
Prop. 15. To describe the construction of the common air-pump and its operation.
Prop. 16. To describe the construction of the condenser and its operation.
Prop. 17. To explain the construction of the common barometer, and to shew that the mercury is sustained in it by the pressure of the air on the surface of the mercury in the basin.
Prop. 18. The pressure of the atmosphere is accurately measured by the weight of the column of mercury in the barometer,
Prop. 19. To describe the construction of the common pump and its operation.
Prop. 20. To describe the construction of the forcing pump and its operation.
Prop. 21. To explain the action of the siphon.
Prop. 23. Having given the number of degrees on Fahrenheit's thermotneter, to find the corresponding number on the centigrade thermometer.
That the Questionists who are Candidates for an Ordinary Degree only, and not for Honors, and who pass, be arranged by the Examiners into four Classes, namely, a fourth, fifth, sixth, and seventh, according to merit, the names in each Class being arranged alphabetically, and that these Classes be published in the Senate-House on the Friday preceding the general B.A. Admission'.
REGULATIONS concerning the PROFESSORS' EXAMINATIONS, an
additional Condition for the ordinary B.A. Degree appointed by Grace, Oct. 31, 1848. 1. That, at the beginning of each academical year, the Vice-Chancellor shall issue a Programme of the subjects, places, and times, of the several Professors' Lectures for the year then to ensue.
2. That all Students, who, being Candidates for the Degree of B.A., or for the Honorary Degree of M.A., are not Candidates for Honors, shall, in addition to what is now required of then, have attended, before they be admitted to Examination for their respective Degrees, the Lectures delivered during one Term at least, by one or more of the following Professors :
Regius Professor of Laws, Jacksonian Professor of Natural and Regius Professor of Physic, Experimental Philosophy, Professor of Moral Philosophy, Downing Professor of the Laws of Professor of Chemistry,
England, Professor of Anatomy,.
Downing Professor of Medicine, Professor of Modern History, Professor of Mineralogy, Professor of Botany,
Professor of Political Economy; Woodwardian Professor of Geology, and shall have obtained a Certificate of having passed an Examination satisfactory to one of the Professors whose Lectures they have chosen to attend.
The Professors by whom these certificates are to be given, wish to make known to those Members of the University whom it may concern, the subjects of the Examinations on which the certificates will be given, and the books which may be consulted as a preparation for them.
It is to be understood, in general, that each Professor will deliver, in his public Lectures, a large portion of the information which he will require in his Examination, and that the books here recommended are to be consulted in the way which the Lectures relative to each subject respectively point out. The books on the respective subjects are to be regarded as a preparation in addition to that supplied by the Lectures on the corresponding subject.
In stating the nature of the Examination, the method will be followed, where it can conveniently be done, which was adopted by the University in 1837, to define the nature and extent of the Examination then instituted in Mechanics and Hydrostatics; namely, to refer to a Syllabus of the portion
1 Pos Schedule of the order of days, &c. at the Examination, see pp. 14, 15.
of the subject intended to be included : and to give it to be understood tha the Examination on each occasion will consist of questions referring to small number of the whole list of propositions, &c., there enunciated : (th whole number of articles in the list being, in that case, about sixty.)
The Regius Professor of Laws: As a Syllabus indicating the range of hi Examination, refers to the Table of Contents of Dr Whewell's Elements o Morality, B. iv. Jus, B. vi. International Law; the requisite knowledge t be sought in the Professor's Lectures.
The Professor of Moral Philosophy. Syllabus: The Table of Contents o his Elements of Morality, B. 1. 11.
111.; for the knowledge, see the book itselt and the illustrations given in the Professor's Lectures.
The Professor of Modern History refers to the following books for infor mation which he will require in his Examination for certificate : () Préci de l'Histoire des Français, par J. C. Simonde de Sismondi. Paris, 1839 Treuttel et Wurtz: (2) Sharon Turner's History of the Anglo-Sarons. It i proposed to publish, before the end of the long vacation, a Syllabus of bot! these books. Candidates will be at liberty to answer questions, at thei choice, in both of these books, or in one of them only.
The Downing Professor of the Laws of England gives the following statement of the range of his Examination :
The Examination for Certificates of proficiency in English Law will be
confined to the following subjects : The Law concerning the principal Relations of Society, as Husband and
Wife, Parent and Child, Master and Servant. The Law relative to the principal Contracts of Society, as Sale, Bailment,
Leasing, Mortgaging, Bills of Exchange. The Duties of Magistrates. The Definitions of Crimes. The Church Establishment, including the Law regarding Tithes, Dilapi
dations, Parochial Rates, Pews, Parochial Registers. The principal rules of the Law of Evidence, such as those regarding
Presumptive Evidence, Hearsay Evidence, and Secondary Evidence. Elementary information upon all the subjects of the Examination may be found in Blackstone's Commentaries, (Serjt
. Stephens', or some other modern edition): and Kent's Commentaries. The Table of Contents of Blackstone's Commentaries, so far as it relates to
the above subjects, may be considered as the Professor's Syllabus
for the present purpose. The Examinations will be confined to such parts of the above subjects, as
are treated of in the lectures. And in the course of the lectures the students will receive more particular information as to the questions which will be proposed at the examinations, and as to the books from
which a competent knowledge of the above subjects may be best acquired. The Professor of Political Economy has published a Syllabus of his subject, for the present purpose, containing reference to the requisite books.
The Regius Professor of Physic will examine for certificates in the subject on which his Lectures are given ; namely, the Principles of General Pathology. He refers to Dr Alison's Outlines of Pathology, and the first three chapters of Dr C. J. B. Williams's Principles of Medicine, as containing information on this subject.
The Professor of Chemistry refers to Daubeny's Introduction to the Atomic Theory, and Fownes's Manual of Chemistry, as containing all he will require in his examination for certificates. The Table of Contents of these two volumes may be regarded as his Syllabus for the present purpose.
The Professor of Anatomy will draw up a Syllabus of his subject, with a view to his Lectures and Examinations.
The Professor of Botany has published a Syllabus, and gives the requisite information in his Lectures.
Part I. of Balfour's Manual contains all, or nearly all, that will be equired on the Structure and Physiology of Plants. And our British plants should be examined by the Florus of either Hooker and Arnott, or Babingon, for obtaining such information as will be necessary to qualífy a student or describing plants contained in the few orders named in the Syllabus, and llustrated during the Lectures.
The Professor of Geology intends to publish a Syllabus, and to make it he guide of his Examinations,
The Jacksonian Professor will examine for certificates in the general principles of Mechanism, and in certain processes and Machines employed in nanufactures, as delivered in his Lectures. He will draw up a Syllabus.
The Downing Professor of Medicine will publish a Syllabus of the Course of Lectures he intends to give, to meet the new Professorial Reguations, and will point out in it the subjects in which he will examine, and he books to be consulted respecting them.
The Professor of Mineralogy has published a Treatise on Mineralogy; in which he determines the range of subject to be included in his Examination or certificate.
Each Examination for a Professor's certificate will require the candidate to answer a small number (say 10 to 15,) of questions such as correspond to each article of the above Syllabuses.
Examinations with a view to granting certificates will be held by the above Professors in the course of the Lent and Easter Terms of 1853: of which due notice will be given.
In order to check the practice of Degrading, the following Regulations were adopted by Grace of the Senate, Feb. 27, 1829.
1.–That no person who has degraded, be permitted to become a Candidate for University Scholarships or any other Academical Honors during his Undergraduateship, or for Honors in the Mathematical Tripos, unless he shall previously have obtained special permission for so doing, from a Syndicate hereafter to be appointed for that purpose.
2.—That the Syndicate do consist of the Vice-Chancellor, the Public Orator, the Greek Professor, and the two Moderators for the time being, who shall be invested with full power to examine into the cases of Applicants for permission to become Candidates for Honors after they have degraded, and io grant or withhold such permission, as they may think proper.
3.—That this Syndicate do meet on a certain day in October in each year, of which notice is to be given by the Vice-Chancellor, for the purpose of taking into consideration the cases of applicants; and that all applications be made in writing by the Tutor of the person or persons making such application, accompanied with certificates of ill health, or such other certificates as he may consider necessary.
The following Regulations respecting standing of which Candidates for the Degree of B. A. ought to be before they are allowed to be examined for that degree, and respecting the period after examination for which the certificate of approval signed by the Examiners shall remain in force-were adopted by Grace of the Senate, May 8, 1833:
1.–That no person be admitted on or before Ash-Wednesday in the Lent tern of each year, ad respondendum quæstioni, who shall not have been pube licly examined at the usual time of examination in the month of January that year, and produce a certificate from the Examiners of examination an approval ; except those who in consequence of ill health may, by the pei mission of the Proctors and Examiners, have absented themselves from suc examination.
2.–That no person be admitted to examination for the degree of B.A until he has entered into his eleventh term, he having previously kept nin terms exclusive of the term in which he was admitted, and that no certificat of approval, in the case of a person so examined in his eleventh term, sha be valid, unless it shall appear when such person applies for the admissio ad respondendum quæstioni, that he has kept the said eleventh term.
The Syndicate appointed to consider whether any and what ad
ditional tests should be adopted for ascertaining that th Candidates for the Several Honor Triposes in each year ar of the proper standing, and to report to the Senate, beg leavi to report,
That, upon enquiry into the rules and customs of the University relating to the subject, they find that a Student in Arts is of the proper standing to be a Candidate for Honors in the Mathematical Tripos, or in the Classica Tripos, or among the Commencing Bachelors in the Moral Sciences o Natural Sciences Tripos of any year, if at the time of publication of such Tripos he shall have entered into his Eleventh Term at least, having previously kept Nine Terms, exclusive of the Term in which he was admitted provided however that not more than Eleven Terms shall have passed after the first of the said Nine Terms; and that no Student in Arts of a different standing can be a Candidate for such Honors, unless he shall have obtained permission from the Syndicate appointed to consider the cases of persons who have degraded.
The Syndicate further find that a Student in Arts is of the proper standing to be a Candidate for Honors among the Middle Bachelors in the Moral Sciences or Natural Sciences Tripos of any year, if at the last preceding Examination for such Tripos he was duly qualified in point of standing and other circumstances, to be a Candidate for Honors in that Tripos among the Commencing Bachelors.
Also, that Students in Law or Medicine are of the proper standing to be Candidates for Honours in the Moral Sciences Tripos, and in the Natural Sciences Tripos among the Commencing Bachelors in the fourth Lent Term after the completion of their first Term of residence, and among the Middle Bachelors in the fifth Lent Term after the completion of their first Term of residence, provided that they shall have kept Nine Terms before such fourth Lent Term.
The Syndicate further find that a person entitled to an Honorary degree may, without passing the Previous Examination, be a Candidate for Honors in the Mathematical Tripos, or in the Classical Íripos, or among the Commencing Bachelors in the Moral Sciences or Natural Sciences Tripos of any year, if at the time of publication of such Tripos he shall have entered into his Éighth Term at least, having previously kept Six Terms exclusive of the Term in which he was admitted, provided however that not more than Eight Terms shall have passed after the completion of his first Term of residence.
The Syndicate are of opinion that it is highly desirable that some efficient means should be provided of securing compliance with the rules and customs of the University on the part of Candidates for Honors.