Calendar of the University of SydneyAngus and Robertson, 1902 |
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Página 377
... Find the values of the sum and product of the roots of the equation ax2 + bx + c = 0 in terms of a , b and c . Prove that , if one of the roots of the equation is two - thirds of the other , 6b2 = 25ac . 4. Find the times between 5 and ...
... Find the values of the sum and product of the roots of the equation ax2 + bx + c = 0 in terms of a , b and c . Prove that , if one of the roots of the equation is two - thirds of the other , 6b2 = 25ac . 4. Find the times between 5 and ...
Página 377
... Find a geometrical progression whose first term is unity , and its sum to infinity equal to of its second term . 9. If a , b , c are in A.P. , b , c , d in G.P. , and c , d , e in H.P. , prove that a , c , e are in G.P. GEOMETRY AND ...
... Find a geometrical progression whose first term is unity , and its sum to infinity equal to of its second term . 9. If a , b , c are in A.P. , b , c , d in G.P. , and c , d , e in H.P. , prove that a , c , e are in G.P. GEOMETRY AND ...
Página 377
... Find the sine and cosine of 45 ° , 30 ° , and 15 ° . 6. Solve the equation sin x . tan x = 3 2 7. If 7 cos ( x + 3y ) ... find C , and find also sin A and sin B. 10. A ship sails from port 10 miles N.E. , DECEMBER EXAMINATION . ix .
... Find the sine and cosine of 45 ° , 30 ° , and 15 ° . 6. Solve the equation sin x . tan x = 3 2 7. If 7 cos ( x + 3y ) ... find C , and find also sin A and sin B. 10. A ship sails from port 10 miles N.E. , DECEMBER EXAMINATION . ix .
Página xiv
... find their logarithms to another base . 2. Find ( i . ) log 1274 , ( ii . ) 321-6742X ( 867 ) ( 22.22 ) 2 3. Shew that in a triangle ( i . ) tan A 2 = · √ ( 8 — b ) ( 8 — c ) s ( s — a ) ( ii . ) If A : B : C = 3 : 4 : 5 , then a : b ...
... find their logarithms to another base . 2. Find ( i . ) log 1274 , ( ii . ) 321-6742X ( 867 ) ( 22.22 ) 2 3. Shew that in a triangle ( i . ) tan A 2 = · √ ( 8 — b ) ( 8 — c ) s ( s — a ) ( ii . ) If A : B : C = 3 : 4 : 5 , then a : b ...
Página xiv
... find the height of the top of the flagstaff . 7. Find an expression for the present value of an annuity of 1 for n years , the rate of interest being 100 i per cent . If an annuity of 1 for 20 years is worth 12 : 462 , and the present ...
... find the height of the top of the flagstaff . 7. Find an expression for the present value of an annuity of 1 for n years , the rate of interest being 100 i per cent . If an annuity of 1 for 20 years is worth 12 : 462 , and the present ...
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Términos y frases comunes
Admitted ad eundem Alexander Alfred Anatomy appointed Arthur attend awarded B.Sc Bachelor of Arts Bachelor of Laws Book Bursary By-laws Candidates certificate Ch.M Chancellor Charles Chemistry Class Clinical College course December Degree of Bachelor Dentistry Describe Edith Edward elected Engineering English Ernest Faculty of Arts Faculty of Medicine Francis Frederick French Geology George German Graduates Greek Harris Henry History HONOURS James John Joseph Junior laboratory practice Latin lectures Lent Term LL.B LL.D LOGIC AND MENTAL Macmillan Mathematics Medal Medical meeting Metallurgy Michaelmas Term PASS PETER NICOL RUSSELL Physics Physiology prescribed Prize Professor proficiency prox Public Examination Reginald Registrar Robert Russell Scholarship Science Second Year Examination Senate Senior Shew South Wales Sunday after Trinity Surgery Sydney University Teece Third Thomas Translate at sight TRINITY TERM University of Sydney Vice-Chancellor W. C. Wentworth Walter William δὲ καὶ μὲν οἱ τὸ τῶν
Pasajes populares
Página cxcii - ... little did I dream that I should have lived to see such disasters fallen upon her in a nation of gallant men, in a nation of men of honour and of cavaliers. I thought ten thousand swords must have leaped from their scabbards to avenge even a look that threatened her with insult. But the age of chivalry is gone!
Página 377 - Aber freilich, wenn wir Deutschen nicht aus dem engen Kreise unserer eigenen Umgebung hinausblicken, so kommen wir gar zu leicht in diesen pedantischen Dünkel. Ich sehe mich daher gerne bei fremden Nationen um und rate jedem, es auch seinerseits zu tun. Nationalliteratur will jetzt nicht viel sagen, die Epoche der Weltliteratur ist an der Zeit, und jeder muß jetzt dazu wirken, diese Epoche zu beschleunigen.
Página cxix - Comme un vol de gerfauts hors du charnier natal, Fatigués de porter leurs misères hautaines, De Palos de Moguer routiers et capitaines Partaient, ivres d'un rêve héroïque et brutal.
Página 377 - Civitatibus maxima laus est, quam latissime circum se vastatis finibus solitudines habere. Hoc proprium virtutis existimant, expulsos agris finitimos cedere, neque quemquam prope audere consistere : simul hoc se fore tutiores arbitrantur, repentinae incursionis timore sublato.
Página 377 - Cum bellum civitas aut illatum defendit aut infert, magistratus qui ei bello praesint, ut vitae necisque habeant potestatem deliguntur. In pace nullus est communis magistratus, sed principes regionum atque pagorum inter suos jus dicunt, controversiasque minuunt.
Página cxcii - Little did I dream, when she added titles of veneration to those of enthusiastic, distant, respectful love, that she should ever be obliged to carry the sharp antidote against disgrace concealed in that bosom; little did I dream...
Página xiv - ... propres que sa personne à l'opérer, parce qu'ils ont toute l'autorité que donnent à des ouvrages, la raison, la justice et les lumières , tandis que sa personne n'en peut prendre aucune, faute de dignité. C'est le meilleur des humains, bon époux, tendre père, fidèle ami, vertueux citoyen; sa société est aussi douce que son caractère est facile; confiant jusqu'à l'imprudence, gai, naïf, ingénu comme on l'est à quinze ans, il était fait pour vivre avec des sages et pour être la...
Página clxxxix - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página xiv - Ah! my dear sonne," quoth he, " how should, alas! Silly old man, that lives in hidden cell, Bidding his beades all day for his trespas, Tydings of warre and worldly trouble tell ? With holy father sits not with such thinges to mell.
Página liv - But he that holds himself in reverence and due esteem, both for the dignity of God's image upon him and for the price of his redemption which he thinks is visibly marked upon his forehead, accounts himself both a fit person to do the noblest and godliest deeds...