Calendar of the University of SydneyAngus and Robertson, 1898 |
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Página 309
... shew that the following ratios do not satisfy the test 15 acres : 16 acres , 17 pints : 18 pints . 8. Three sides of a quadrilateral are a , b , c in length , and the two angles which they contain are half right angles . Prove that the ...
... shew that the following ratios do not satisfy the test 15 acres : 16 acres , 17 pints : 18 pints . 8. Three sides of a quadrilateral are a , b , c in length , and the two angles which they contain are half right angles . Prove that the ...
Página 309
... shew that sin 22 } ° = 4. Prove that cos ( A + B ) = cos A cos B - sin A sin B , also that cos ( A + B + C ) = cos A cos B cos C - cos A sin B sin C -cos B sin Csin A - cos Csin A sin B. 5. Shew from a figure that sin ( 270 ° + A ) ...
... shew that sin 22 } ° = 4. Prove that cos ( A + B ) = cos A cos B - sin A sin B , also that cos ( A + B + C ) = cos A cos B cos C - cos A sin B sin C -cos B sin Csin A - cos Csin A sin B. 5. Shew from a figure that sin ( 270 ° + A ) ...
Página xiv
... shew that the other elements of ABC are sometimes ambiguous . Also if C1 , C2 are the two values of C , prove that cos ( C1 + C2 ) : cos ( C1 — C2 ) = a : b . - 8. A , B are two points , 100 yards apart , on the bank of a river , and C ...
... shew that the other elements of ABC are sometimes ambiguous . Also if C1 , C2 are the two values of C , prove that cos ( C1 + C2 ) : cos ( C1 — C2 ) = a : b . - 8. A , B are two points , 100 yards apart , on the bank of a river , and C ...
Página xiv
... shew that each is proportional to the sine of the angle between the other two . 2. An endless string of length 5a passes through a heavy ring of weight W. The string is hung over 4 smooth pegs in a vertical wall at the angles of a ...
... shew that each is proportional to the sine of the angle between the other two . 2. An endless string of length 5a passes through a heavy ring of weight W. The string is hung over 4 smooth pegs in a vertical wall at the angles of a ...
Página xiv
... shew that , if the radius of the base is equal to the height , the whole pressure on the cylinder ( includ- ing the plane ends ) is double that on the curved surface only . 4 Define Centre of Pressure , and find its depth , ( i . ) in ...
... shew that , if the radius of the base is equal to the height , the whole pressure on the cylinder ( includ- ing the plane ends ) is double that on the curved surface only . 4 Define Centre of Pressure , and find its depth , ( i . ) in ...
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Términos y frases comunes
Admitted ad eundem Æneid Alfred Anatomy angle Annual Arthur Arthur Renwick attend awarded B.Sc Bachelor of Arts Bursary By-laws candidate Ch.M Charles Chemistry CLASS Clinical College course Degree of Bachelor Describe Discuss Edward election English equation Ernest Explain Faculty of Arts Faculty of Medicine following subjects Francis Frederick French Geology George German Greek Henry History HONOURS James John Joseph Junior Laboratory Latin lectures LL.B LL.D LOGIC AND MENTAL Macmillan Mathematics Matriculation Examination Medal Medical Mental Philosophy Michaelmas Term PASS PETER NICOL RUSSELL Physics Physiology plane Practical Prize Professor proficiency prox Registrar Robert Russell Scholarship Second Year Examination Senate Senior Public Examination Shew South Wales Sunday after Trinity Surgery Sydney University tangent Thomas Translate triangle TRINITY TERM University of Sydney W. C. Wentworth Walker Wentworth William γὰρ δὲ ἐν καὶ μὲν οἱ τὴν τῆς τοῦ τῶν
Pasajes populares
Página xcvi - Less than archangel ruined, and the excess Of glory obscured ; as when the sun, new risen, Looks through the horizontal misty air Shorn of his beams, or from behind the moon, In dim eclipse, disastrous twilight sheds On half the nations, and with fear of change Perplexes monarchs.
Página xcix - HIGH on a throne of royal state, which far Outshone the wealth of Ormus and of Ind, Or where the gorgeous East with richest hand Showers on her kings barbaric pearl and gold...
Página 299 - The world is still deceiv'd with ornament. In law, what plea so tainted and corrupt But, being season'd with a gracious voice, Obscures the show of evil? In religion, What damned error but some sober brow Will bless it, and approve it with a text, Hiding the grossness with fair ornament? There is no vice so simple but assumes Some mark of virtue on his outward parts.
Página cix - I should leave him to his own noble sentiments, if the unworthy and illiberal language with which he has been treated, beyond all example of Parliamentary liberty, did not make a few words necessary — not so much injustice to him as to my own feelings.
Página xxxviii - Thus had the EvERLASTING No (das ewige Nein) pealed authoritatively through all the recesses of my Being, of my ME; and then it was that my whole ME stood up, in native God-created majesty, and with emphasis recorded its Protest.
Página 308 - Mon vieil ami, ne nous séparons pas. T'ai-je imprégné des flots de musc et d'ambre Qu'un fat exhale en se mirant? M'at-on jamais vu dans une antichambre T'exposer au mépris d'un grand? Pour des rubans la France entière Fut en proie à de longs débats ; La fleur des champs brille à ta boutonnière : Mon vieil ami, ne nous séparons pas. Ne crains plus tant ces jours de courses vaines Où notre destin fut pareil; Ces jours mêlés de plaisirs et de peines, Mêlés de pluie et de soleil.
Página xcvi - Like all that pertains to crime, it seemed never to have known a youthful era. Before this ugly edifice, and between it and the wheel-track of the street, was a grass-plot, much overgrown with burdock, pigweed, apple-peru, and such unsightly vegetation, which evidently found something congenial in the soil that had so early borne the black flower of civilized society, a prison.
Página 307 - SOIS-MOI fidèle, ô pauvre habit que j'aime ! Ensemble nous devenons vieux. Depuis dix ans je te brosse moi-même , Et Socrate n'eût pas fait mieux. Quand le sort à ta mince étoffe Livrerait de nouveaux combats , Imite-moi; résiste en philosophe. Mon vieil ami , ne nous séparons pas. Je nie souviens , car j'ai bonne mémoire , Du premier jour où je te mis.
Página xiv - ... and virtue can alone make you esteemed and valued by mankind ; that parts and learning can alone make you admired and celebrated by them ; but that the possession of lesser talents was most absolutely necessary towards making you liked, beloved, and sought after. in private life. Of these lesser talents, good breeding is the principal and most necessary one, not only as...
Página 5 - No candidate shall be admitted to the examination unless he have previously paid this fee to the registrar. If a candidate fail to pass the examination, the fee shall not be returned to him, but he shall be admitted to...