Examinations Papers1889 |
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Page 12
... Shew that the angles CAB and CB are together equal to the angle ACD . 3. BAC is a triangle having the angle A a righ angle . Shew that the square on BC is equal to the squares on BA and AC . 4. ABC is a straight line . Shew that the ...
... Shew that the angles CAB and CB are together equal to the angle ACD . 3. BAC is a triangle having the angle A a righ angle . Shew that the square on BC is equal to the squares on BA and AC . 4. ABC is a straight line . Shew that the ...
Page 16
... Malplaquet : Torres Vedras . II . - 1 . Shew how the powers originally possessed by the Kings of Rome were gradually divided among various magistrates . 2. Describe the different occasions on which a Publius Decius 16 EXAMINATION PAPERS ,
... Malplaquet : Torres Vedras . II . - 1 . Shew how the powers originally possessed by the Kings of Rome were gradually divided among various magistrates . 2. Describe the different occasions on which a Publius Decius 16 EXAMINATION PAPERS ,
Page 44
... shew that each expression = ZxY x + y + z2 , and that either x + y + z = 0 , 1 or + + y - 0 . 3. If x2 + px + q is positive for all real values of x , prove that 4q - p2 is positive . If x , y are real quantities satisfying the equa ...
... shew that each expression = ZxY x + y + z2 , and that either x + y + z = 0 , 1 or + + y - 0 . 3. If x2 + px + q is positive for all real values of x , prove that 4q - p2 is positive . If x , y are real quantities satisfying the equa ...
Page 45
... shew that a ( 1 — a ) ( 1 — ß3 ) с + b + = 0 , mx + b + aß αβ с = 0 . 5. If n is one of the imaginary cube roots of unity , shew that 1+ w + w2 = 0 , and that 1 1 + + 1 a + b + c a + wb + w2c a + w2b + wc 3 ( a2 - bc ) 3 abc = a3 + b3 + ...
... shew that a ( 1 — a ) ( 1 — ß3 ) с + b + = 0 , mx + b + aß αβ с = 0 . 5. If n is one of the imaginary cube roots of unity , shew that 1+ w + w2 = 0 , and that 1 1 + + 1 a + b + c a + wb + w2c a + w2b + wc 3 ( a2 - bc ) 3 abc = a3 + b3 + ...
Page 47
... of the diagonals . 4. If two circles meet in one point only that point is on the line joining their centres . Two circles touch externally ; shew how to place a MATRICULATION - HONOUR EXAM . , O.T. 1888 . 47 Geometry and Trigonometry.
... of the diagonals . 4. If two circles meet in one point only that point is on the line joining their centres . Two circles touch externally ; shew how to place a MATRICULATION - HONOUR EXAM . , O.T. 1888 . 47 Geometry and Trigonometry.
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Page 62 - A MAN that is young in years may be old in hours, if he have lost no time. But that happeneth rarely. Generally, youth is like the first cogitations, not so wise as the second. For there is a youth in thoughts, as well as in ages. And yet the invention of young men is more lively than that of old ; and imaginations stream into their minds better, and as it were more divinely. Natures that have much heat and great and violent desires and perturbations, are not ripe for action till they have passed...
Page 155 - THE night has a thousand eyes, And the day but one; Yet the light of the bright world dies With the dying sun. The mind has a thousand eyes, And the heart but one; Yet the light of a whole life dies When love is done.
Page 151 - Lords and Commons of England! consider what nation it is whereof ye are, and whereof ye are the governors : a nation not slow and dull, but of a quick, ingenious, and piercing spirit; acute to invent, subtle and sinewy to discourse, not beneath the reach. of any point the highest that human capacity can soar to.
Page 157 - PEUPLE On parlera de sa gloire Sous le chaume bien longtemps. L'humble toit, dans cinquante ans, Ne connaîtra plus d'autre histoire. Là viendront les villageois Dire alors à quelque vieille : Par des récits d'autrefois, Mère, abrégez notre veille.
Page 161 - Ein wechselnd Weben, Ein glühend Leben, So schaff ich am sausenden Webstuhl der Zeit Und wirke der Gottheit lebendiges Kleid.
Page 38 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 157 - Les hommes ne sont pas seulement sujets à perdre le souvenir des bienfaits et des injures : ils haïssent même ceux qui les ont obligés, et cessent de haïr ceux qui leur ont fait des outrages.
Page 22 - Pyrrha, sub antrof cui flavam religas comam, simplex munditiis? heu quoties fidem mutatosque deos flebit et aspera nigris aequora ventis emirabitur insolens, qui nunc te fruitur credulus aurea; qui semper vacuam, semper amabilem sperat nescius aurae fallacis. miseri, quibus intentata nites ! me tabula sacer votiva paries indicat uvida suspendisse potenti vestimenta maris deo.
Page 23 - Me vel extremos Numidarum in agros Classe releget. I pedes quo te rapiunt et aurae Dum favet nox et Venus, i secundo Omine et nostri memorem sepulcro Scalpe querelam." MISERARDM est neque amori dare ludum neque dulci Mala vino lavere, aut exanimari metuentes Patruae verbera linguae. Tibi qualum Cythereae puer ales, tibi telas Operosaeque Minervae studium aufert, Neobule, Liparaei nitor Hebri, Simul unctos Tiberinis...
Page 161 - What is to be thought of her ? What is to be thought of the poor shepherd girl from the hills and forests of Lorraine, that like the Hebrew shepherd boy from the hills and forests of Judea — rose suddenly out of the quiet, out of the safety, out of the religious inspiration, rooted in deep pastoral solitudes, to a station in the van of armies, and to the more perilous station at the right hand of kings?