Calendar of the University of SydneyAngus and Robertson, 1898 |
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Página xlvi
... latus rectum , which revolves round the directrix . ds 11. Find in the curve dx x 2y = c + e22 , с and find the length of the arc of this curve in terms of the abscissa . 12. Adapt the formulæ x = Σmx / Σm , xlvi . THIRD YEAR IN ARTS .
... latus rectum , which revolves round the directrix . ds 11. Find in the curve dx x 2y = c + e22 , с and find the length of the arc of this curve in terms of the abscissa . 12. Adapt the formulæ x = Σmx / Σm , xlvi . THIRD YEAR IN ARTS .
Página xlvii
... latus - , 2 rectum is equal to one - half its minor axis . 5. Define an asymptote , and , from your definition , find the asymptotes of x2 y2 a b2 2 = 1 . Find the asymptotes of 4y - x2 - 10x = 0 , and shew that they touch x2 y2 + 9 4 6 ...
... latus - , 2 rectum is equal to one - half its minor axis . 5. Define an asymptote , and , from your definition , find the asymptotes of x2 y2 a b2 2 = 1 . Find the asymptotes of 4y - x2 - 10x = 0 , and shew that they touch x2 y2 + 9 4 6 ...
Página c
... latus rectum . 10. Investigate the locus of the middle points of a system of parallel chords of an ellipse , and shew that , if the coordi- nates of an extremity of a diameter are x'y ' , those of its conjugate are bx ' _ay ' + a Prove ...
... latus rectum . 10. Investigate the locus of the middle points of a system of parallel chords of an ellipse , and shew that , if the coordi- nates of an extremity of a diameter are x'y ' , those of its conjugate are bx ' _ay ' + a Prove ...
Página cxxxi
... latus rectum of the new path is n2 the old latus rectum . 6. Enunciate and prove the proposition which proves that , if a body sweeps out a circle uniformly , the acceleration is towards the centre and is measured by 72 SPHERICAL ...
... latus rectum of the new path is n2 the old latus rectum . 6. Enunciate and prove the proposition which proves that , if a body sweeps out a circle uniformly , the acceleration is towards the centre and is measured by 72 SPHERICAL ...
Página cxxxvi
... latus rectum passing through the centre of force , its velocity in the direction of the radius vector is sud- denly destroyed . Shew that it will proceed to describe the circle on the latus rectum as diameter . 8. A particle is placed ...
... latus rectum passing through the centre of force , its velocity in the direction of the radius vector is sud- denly destroyed . Shew that it will proceed to describe the circle on the latus rectum as diameter . 8. A particle is placed ...
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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...