Dublin examination papers |
From inside the book
Results 1-5 of 37
Page 5
... triangle , one bisecting the angle at which it acts , and the other two making equal angles with the side opposite to that angle ; show that the forces are as the sides opposite to their points of application . II . Find the time of ...
... triangle , one bisecting the angle at which it acts , and the other two making equal angles with the side opposite to that angle ; show that the forces are as the sides opposite to their points of application . II . Find the time of ...
Page 22
... triangle be in geometrical pro- gression , whose common ratio is e , show that sin 2 C = e sin 24 . 4. Find the equations of the sides , and the area of the triangle , the co - ordinates of whose vertices are ( 1 , 2 ) , ( 3 , − 2 ) ...
... triangle be in geometrical pro- gression , whose common ratio is e , show that sin 2 C = e sin 24 . 4. Find the equations of the sides , and the area of the triangle , the co - ordinates of whose vertices are ( 1 , 2 ) , ( 3 , − 2 ) ...
Page 23
... triangle ; one vertex is fixed , another moves along a right line : determine the locus of the third . 15. Determine the conditions which must be satisfied if the general equation of the second degree ax2 + 2hxy + by2 + 2gx + 2fy + c ...
... triangle ; one vertex is fixed , another moves along a right line : determine the locus of the third . 15. Determine the conditions which must be satisfied if the general equation of the second degree ax2 + 2hxy + by2 + 2gx + 2fy + c ...
Page 24
... √tans . tan § ( s − a ) tan § ( 8 − 6 ) tan § ( s – c ) for the spherical excess of a triangle whose sides are a , b , c . C. 1. Prove the relation MR . WILLIAMSON . tan 24 HONOR EXAMINATION PAPERS - HILARY TERM ,
... √tans . tan § ( s − a ) tan § ( 8 − 6 ) tan § ( s – c ) for the spherical excess of a triangle whose sides are a , b , c . C. 1. Prove the relation MR . WILLIAMSON . tan 24 HONOR EXAMINATION PAPERS - HILARY TERM ,
Page 25
... triangle , prove the formula tan R = a b 2 sin sin sin 2 2 2 sins sin ( sa ) sin ( s - b ) sin ( s- e ) DR . TRAILL ... triangle , and the sum or difference of sides , and the locus of the vertex a great circle ; construct the triangle ...
... triangle , prove the formula tan R = a b 2 sin sin sin 2 2 2 sins sin ( sa ) sin ( s - b ) sin ( s- e ) DR . TRAILL ... triangle , and the sum or difference of sides , and the locus of the vertex a great circle ; construct the triangle ...
Other editions - View all
Common terms and phrases
according action angle appear applied argument authority base Beginning body Book cause centre character Church circle CLASS cloth common Compare condition connected construction cubic curve deduce derived Describe determine distance Edition Ending English equal equation EXAMINATION examples experiments Explain expression feet fixed following passages force formula Give given Greek grounds Hebrew illustrate instances intersection language Latin length meaning Mention method mode nature objection observed occurs original passing plane Plautus position pressure principle PROFESSOR prove question radius reasons reference regard relation remarkable rendering respect Roman rule says sense sides supposed surface Testament theory tion Translate the following triangle vertical vols weight Write ἐν καὶ
Popular passages
Page 72 - And it shall come to pass in that day, saith the Lord GOD, that I will cause the sun to go down at noon, and I will darken the earth in the clear day...
Page 120 - Tis not too late to seek a newer world. Push off, and sitting well in order smite The sounding furrows; for my purpose holds To sail beyond the sunset, and the baths Of all the western stars until I die.
Page 172 - But man dieth, and wasteth away : Yea, man giveth up the ghost, and where is he ? As the waters fail from the sea, And the flood decayeth and drieth up : So man lieth down, and riseth not. Till the heavens be no more, they shall not awake, Nor be raised out of their sleep.
Page 281 - We look before and after, And pine for what is not; Our sincerest laughter With some pain is fraught; Our sweetest songs are those that tell of saddest thought.
Page 172 - Man that is born of a woman, Is of few days, and full of trouble. He cometh forth like a flower, and is cut down: He fleeth also as a shadow, and continueth not And dost thou open thine eyes upon such an one.
Page 277 - Denn wer leugnet es wohl, daß hoch sich das Herz ihm erhoben, Ihm die freiere Brust mit reineren Pulsen geschlagen, Als sich der erste Glanz der neuen Sonne heranhob, Als man hörte vom Rechte der Menschen, das allen gemein sei, Von der begeisternden Freiheit und von der löblichen Gleichheit!
Page 276 - La cigale, ayant chanté Tout l'été, Se trouva fort dépourvue Quand la bise fut venue : Pas un seul petit morceau De mouche ou de vermisseau. Elle alla crier famine Chez la fourmi sa voisine, La priant de lui prêter Quelque grain pour subsister Jusqu'à la saison nouvelle. « Je vous paierai, lui dit-elle, Avant Toût, foi d'animal, Intérêt et principal.
Page 332 - Muse? Night and all her sickly dews, Her spectres wan, and birds of boding cry, He gives to range the dreary sky ; Till down the eastern cliffs afar Hyperion's march they spy, and glittering shafts of war.
Page 254 - And the young man that told him said, As I happened by chance upon mount Gilboa, behold, Saul leaned upon his spear; and, lo, the chariots and horsemen followed hard after him. 7 And when he looked behind him, he saw me, and called unto me. And I answered, Here am I.
Page 332 - Over thy decent shoulders drawn. Come, but keep thy wonted state, With even step and musing gait And looks commercing with the skies, Thy rapt soul sitting in thine eyes...