hended; at the same time it was interesting, if he had the right version of the matter. It was argued that a client had a right to dismiss his architect just as he would dismiss his medical man or his lawyer (that was the exact illustration) at any time he chose, paying him for his trouble up to the time of dismissal. But Lord Chief Justice Erle held that it was not so. That a person might dismiss his medical man or his solicitor and pay him to the time of his dismissal, was undisputed; but his Lordship said an architect was employed to do certain work as a whole, and that this work was not done, his retainer was not completely fulfilled, until all was finished; so that dismissal could not be effected upon the same terms as the dismissal of a lawyer or medical attendant. This was an interesting point, and it might be important for them to understand thoroughly what his lordship meant.

Each Candidate is expected, on entering the Examination room, to proceed immediately to the seat that may be assigned to him; to maintain quiet and silence; to address himself only to the Moderators in case he may require explanation or assistance; and to conform to their arrangements.

Answers are to be written only on one side of the paper. A margin of about one inch is to be left on the lefthand side of each page; and the answer to each question is to be begun at the top of a fresh page. The division and number of each question is to be written in the margin opposite the first line of the answer. The Candidate's number is to be put at the opposite top corner of each page.

A larger number of questions has been given than it is expected the Candidates can answer in the time allotted. This is done in order that they may have the advantage of selection; and the Examiners wish to impress most earnestly upon the Candidates the necessity of attending to the correctness of the answers, rather than to the number of them.

The mathematical subjects must be strictly worked out: the propositions from Euclid and the riders are to be considered as distinct questions, and are to be answered separately. It is not necessary that the questions in Physics, Professional Practice, and Materials should be worked out, in detail, further than is requisite to show that the Candidate has a competent knowledge of the subject; but mere indication of the rule will not be a sufficient answer.

It must be clearly understood that the Examiners wish to develope and recognize what the Candidates do fairly know, and not to try and throw difficulties and perplexities in their way.

CLASS OF PROFICIENCY.

FIRST DAY.-MORNING.

DESIGN AND DRAWING.

One plan, elevation, and at least one section of a design for a Private Chapel with a timber roof; to be over a Library about 15 feet high in the clear, vaulted in brick or stone-work, in two bays longitudinally, i. e. with one row of pillars down the centre. The floor of the Library to be one foot above the level of ground adjoining. The staircase from the Library to the Chapel to be of incombustible materials, and to be vaulted. There is, also, to be an external staircase, with a porch, to the Chapel. To be in any style that the Candidate may select; and to be drawn (in pencil will be sufficient) not sketched, to a scale of of an inch to a foot: no colour but Indian ink is to be used.

FIRST DAY.-AFTERNOON.

PRACTICAL GEOMETRICAL DRAWING.

1. Draw the plan of a bay window of three sides; each of the canted sides being one half of the central face, and forming an angle of 55° with the wall of the house; and the width of the opening under the breastsumer being 12 feet.

E

2. Reduce this irregular figure

A

B

>C to a simple triangle by the parallel ruler only.

3. Draw the element of a Decorated Gothic clerestory window in the form of a spherical triangle, placing therein three equal spherical triangles with proper cuspings, &c. shewing the centres and points of contact of the curves.

4. Draw three parallelograms, 4 inches high by 3 inches base, and place therein by means of ordinates a semi-ellipse, a parabola, and a hyperbola.

5. A timber roof is of the form and dimensions as in margin, and the pitch is one-third

6. Referring to the above diagram, there is a middle gutter from A to B, falling both ways, 8 inches wide in the narrowest part, with a rise of 2 inches in every 10 feet, and with drips where shewn 2 inches high each,-what is the width of the lead above and below the drip and at the widest part, supposing it turns 7 inches up each lear board.

SECOND DAY.-MORNING.

MATHEMATICS.

Arithmetic.

N.B. The French mètre is 39-3708 English inches or 3.2809 English lineal feet and the English foot is 33527 French lineal mètre. The Florentine braccio is 22.98 English lineal inches, and the lira Toscana 7.82 pence sterling.

1. Suppose the French metrical system introduced into England, in what dimensions will you be compelled to specify

2. Suppose the introduction of the French system abandoned but a decimal system enforced, the English foot being retained as the unit; how would you square out the following dimensions— 12 ft. 2 in. x 6 ft. 4 in.; 13 ft. 7 in. x 2 ft. 8 in.; 29 ft. 5 in. x 6 ft. 4 in.; and how would you cube out the timber as in the foregoing question.

3. Land in a certain Manor descends according to the custom of Gavelkind, i.e. all sons inherit their deceased father's property in equal undivided shares. A man dies leaving three sons A, B, and C: they die; A leaving 5 sons, B 3, and C 4 sons. One of C's sons buys the share of one of B's sons, and the shares of two of A's sons. How much of the estate has he, including his own paternal share?

4. Divide the same sum 3·1416 respectively by 4, 04, and by 004 prefixing the proper number of decimals to each operation and shewing the reason.

5. If 24 men can excavate a foundation in 36 days in summer when they can make 12 hours a day each, how many days must be allowed for 30 men to do the same in winter, when they can only work 8 hours a day?

6. A cubic braccio of marble at Carrara is worth 11 Tuscan lire;-how much can it be sold for in London per English cubic foot, adding 12 per cent. for freight and charges, and 15 per cent. profit?

7.

To what will the following claim against a Railway Company amount properly carried out(a). A ground rent of £8. per annum for 7 years, and the reversion to the rack rent of a house worth £50. per annum in perpetuity afterwards, less 10 per cent. for losses and repairs, 5 per cent. collection and management, and insurance £600. @ 4s. 6d.

(b). A like ground rent of £10. per annum for 5 years, and the reversion to a rack rent of £80. per annum, subject to the like deductions, the insurance being for £1100. @ 4s. 6d.

(c). A piece of building ground 230 ft. front worth (unrealized) a ground rent of 6s. per foot, allowing 2 years peppercorn and 6 years to cover. (Continued over.)

The ground rents to be taken on the 3 per cent. table-£ 1. per annum for 7 years tab. value=6·230; for 5 years 4.579. The reversion on the 6 per cent. table-£1. received at the end of 7 years tab. value='6651; of 5 years-7473.

The building ground to be taken on the 4 per cent. table-£1. receivable at the end of 5 years (3 years mean of 6 and the peppercorn) tab. value='8219.

Add 15 per cent. compulsory sale, and write out the whole fair as if to be handed up to a jury.

1.

Algebra.

26 + 2c - 2; also 3 ax2 + 2 by

Add together 5a+3b+ 2c - 5 and 3 a − a x2 + 2 cy2 — 10, and bx2 + ay2 + 20.

2. State the rule for subtraction and give the reason for the same. between 13 a 2 b+9c-3 d and 4 a6b9c10d; also from

— x2 - 3 xy + 3y2, and from the remainder 3x2 + 4xy — 5y2.

--

What is the difference 3x+2xy - y2 take

3. Extract the square root of 4 a1- 28 x3- 17 x2+6x+, and prove the result by involution. 4. Solve the following equations:

5.

A builder can buy bright pavers for facing at 60s. per M, and good stocks at 36s.,-how many of each sort must he use to make his brickwork cost him 42s. per M?

for

6. On letting some land out of a large estate to a farmer agreeing that he would keep ten sheep every acre under the plough, and would have also an acre of pasture for every four sheep he kept, he ultimately took 700 acres,-how many sheep should he have?

7. The formula for the strength of cast iron girders of proper section supported at both ends is

W the breaking weight in tons, the load being placed in the centre,

a = area of bottom flange in inches,

Transform this formula so as to shew how to find the area, or the depth, or the length as may be required.