Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906Clarendon Press, 1907 - 152 pages |
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Page 69
... straight line as base , construct a triangle , such that one of the base angles shall be twice , and the other three times the vertical angle . 3. Find the locus of the vertex of a triangle , when its area and base are given . 4. ABCD ...
... straight line as base , construct a triangle , such that one of the base angles shall be twice , and the other three times the vertical angle . 3. Find the locus of the vertex of a triangle , when its area and base are given . 4. ABCD ...
Page 70
... straight line is drawn perpendicular to the opposite side , show that the angle it makes with the base is half the ... straight line AC has been divided at B so that the square on AB is equal to the rectangle AC . BC , show that if AB be ...
... straight line is drawn perpendicular to the opposite side , show that the angle it makes with the base is half the ... straight line AC has been divided at B so that the square on AB is equal to the rectangle AC . BC , show that if AB be ...
Page 71
... straight line drawn from the vertex of an isosceles triangle to a point in the base is less than the square on a ... straight line is drawn to meet the circumferences of both again ; show that the part of the straight line cut off by the ...
... straight line drawn from the vertex of an isosceles triangle to a point in the base is less than the square on a ... straight line is drawn to meet the circumferences of both again ; show that the part of the straight line cut off by the ...
Page 72
... line joining their vertices is bisected by the base . 8. The straight lines drawn perpendicular to the sides of a triangle through their middle points meet in a point . 9. If two tangents be drawn to a ... straight lines . has 72 GEOMETRY.
... line joining their vertices is bisected by the base . 8. The straight lines drawn perpendicular to the sides of a triangle through their middle points meet in a point . 9. If two tangents be drawn to a ... straight lines . has 72 GEOMETRY.
Page 73
... straight lines . has P as centre passes through A and B. which has Q as centre passes through A that BP is parallel to CQ . VII . TRINITY TERM , 1904 . A circle which Another circle and C. Prove 3. The sides AB , AC of a triangle ABC ...
... straight lines . has P as centre passes through A and B. which has Q as centre passes through A that BP is parallel to CQ . VII . TRINITY TERM , 1904 . A circle which Another circle and C. Prove 3. The sides AB , AC of a triangle ABC ...
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Common terms and phrases
2nd pers 2nd sing 3rd plur a²+b² ABCD angles aorist bisected cent centre circle compound interest cost Croesus dative decimal Divide equal feet Find the G. C. M. Find the number Find the square Find the value Give the gender Greek HILARY TERM income indic invested isosceles isosceles triangle Latin locus MICHAELMAS TERM middle point miles Oratio Obliqua Oratio Recta paper parallelogram parm perf perp person singular plural Prove quae quam SEPTEMBER sides Simplify Solve the equations square root straight line subj subjunctive tangents Translate triangle ABC TRINITY TERM Turn into Oratio vulgar fraction yards ἀλλ ἂν γὰρ δὲ δὴ εἰ εἶναι εἰς ἐν ἐπὶ καὶ μὲν οἱ οὐ οὐκ πρὸς τὰ τὰς τε τῇ τὴν τὸ τοῖς τὸν τοῦ τοὺς τῶν ὡς
Popular passages
Page 89 - Quis deus hanc mundi temperet arte domum, Qua venit exoriens, qua deficit, unde coactis Cornibus in plenum menstrua luna redit...
Page 92 - Theseus aut praemia laudis. non ingrata tamen frustra munuscula divis promittens tacito succendit vota labello. 104 nam velut in summo quatientem brachia Tauro quercum, aut conigeram Sudanti cortice pinum, indomitus turbo contorquens flamine robur eruit...
Page 89 - Aut Alcmaeoniae furiae aut ieiunia Phinei, Num rota, num scopuli, num sitis inter aquas, Num tribus infernum custodit faucibus antrum Cerberus, et Tityo iugera pauca novem, 45 An ficta in miseras descendit fabula gentes, Et timor haud ultra quam rogus esse potest.
Page 73 - Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third. 144. Find the locus of a point which moves so that the sum of the squares of the distances from two given points is fixed.
Page 99 - ... invidiamque eam sua sponte gliscentem insignis unius calamitas accendit. Magno natu quidam cum omnium malorum suorum insignibus se in forum proiecit. Obsita erat squalore vestis, foedior corporis Habitus pallore ac macie perempti; ad hoc promissa barba et capilli efferaverant speciem oris.
Page 81 - Christian was hard put to it ; for he had gone but a little way before he espied a foul fiend coming over the field to meet him ; his name is Apollyon. Then did Christian begin to be afraid, and to cast in his mind whether to go back or to stand his ground. But he considered again, that he had no armour for his back, and therefore thought that to turn the back to him might give him greater advantage with ease to pierce him with his darts; therefore he resolved to venture, and stand his ground. For,...
Page 102 - Phoebe, pigebit formosae medicas applicuisse manus. 5 effice ne macies pallentes occupet artus, neu notet informis candida membra color, et quodcumque mali est et quidquid triste timemus, in pelagus rapidis evehat amnis aquis.
Page 89 - Eurus, et in nubes unde perennis aqua ; sit ventura dies mundi quae subruat arces, purpureus pluvias cur bibit arcus aquas, aut cur Perrhaebi tremuere cacumina Pindi, soils et atratis luxerit orbis equis, cur serus versare boves et plaustra Bootes, Pleiadum spisso cur coit igne chorus, curve suos fines altum non exeat aequor, plenus et in partes quattuor annus eat ; sub terris sint iura deum et tormenta...
Page 99 - ... sabino bello ait se militantem, quia propter populationes agri non fructu modo caruerit, sed villa incensa fuerit, direpta omnia, pecora abacta, tributum iniquo suo tempore imperatum, aes alienum fecisse. Id, cumulatum usuris, primo se agro paterno avitoque exuisse, deinde fortunis aliis, postremo velut tabem pervenisse ad corpus; ductum se ab creditore non in servitium, sed in ergastulum et carnificinam esse.
Page 99 - Dicite, quo portu clausa puella mea est?" Et dicam : " licet Aríaciis considat in oris, 25 Et licet HyZleis : illa futura mea est." Hic erat ! hic iurata manet ! rumpantur iniqui ! Vicimus ! assiduas non tulit illa preces ! Falsa licet cupidus deponat gaudia livor : Destitit ire novas Cynthia nostra vias.