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Page 5
... formula for the time of a small oscillation in a simple pendulum . 5. A train moving at the rate of 40 miles an hour comes to the foot of an incline of 1 in 100 ; find how far it would ascend the plane before stopping , if the steam be ...
... formula for the time of a small oscillation in a simple pendulum . 5. A train moving at the rate of 40 miles an hour comes to the foot of an incline of 1 in 100 ; find how far it would ascend the plane before stopping , if the steam be ...
Page 12
... formula for the measurement of heights by a ba- rometer . If the divisions on the scale be millimetres at o ° C. , and if the reading corresponds to n of these divisions , prove that the value to be used for h in the formula is h = n ...
... formula for the measurement of heights by a ba- rometer . If the divisions on the scale be millimetres at o ° C. , and if the reading corresponds to n of these divisions , prove that the value to be used for h in the formula is h = n ...
Page 13
... formula in metric measures for the weight of moist air 0.4645 P = [ p - 0.378 ƒ ] 273+ t ( a ) . 120 cub . centimetres of oxygen are collected over water , p = 742mm , t = 11 ° C. , and force of vapour is 10mm ; calculate the weight of ...
... formula in metric measures for the weight of moist air 0.4645 P = [ p - 0.378 ƒ ] 273+ t ( a ) . 120 cub . centimetres of oxygen are collected over water , p = 742mm , t = 11 ° C. , and force of vapour is 10mm ; calculate the weight of ...
Page 24
... formula tan - - - = √✓tans . tan § ( s − a ) tan † ( s − 6 ) tan † ( s – c ) for the spherical excess of a triangle whose sides are a , b , c . C. 1. Prove the relation I MR . WILLIAMSON . 24 HONOR EXAMINATION PAPERS - HILARY TERM .
... formula tan - - - = √✓tans . tan § ( s − a ) tan † ( s − 6 ) tan † ( s – c ) for the spherical excess of a triangle whose sides are a , b , c . C. 1. Prove the relation I MR . WILLIAMSON . 24 HONOR EXAMINATION PAPERS - HILARY TERM .
Page 25
... formula 2 sin tan R = ✓si sins sin a 2 - sin b 2 sin , 2 a ) sin ( s- b ) sin ( s- c ) 6. If the roots of the cubic DR . TRAILL . аo x3 + 3α1 x2 + 3α2x + A3 = 0 be in harmonic progression , prove the following relation among the ...
... formula 2 sin tan R = ✓si sins sin a 2 - sin b 2 sin , 2 a ) sin ( s- b ) sin ( s- c ) 6. If the roots of the cubic DR . TRAILL . аo x3 + 3α1 x2 + 3α2x + A3 = 0 be in harmonic progression , prove the following relation among the ...
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Common terms and phrases
acid angle argument Arrian axis Beginning BURNSIDE Butler centre Cicero circle circumscribed circles cloth coefficient conic construction Crown 8vo cubic curve deduce Demosthenes Describe determine distance DOWDEN Edition ellipse Ending English Epistle Explain Fcap feet Find the equation Find the value following passages force formula Give an account given gravity Greek ground Hebrew Herodotus horizontal Ibid intersection Julius Cæsar line of curvature locus mean Mention method nature parabola passage into Greek passage into Latin perpendicular plane Plautus principle PROFESSOR prove quadric radius respect Roman sides sin² spherical surface Tacitus tangents Testament theory thou Thucydides tion TRAILL Translate the following triangle velocity verb Verse vertex vertical vols weight WILLIAMSON words Write γὰρ δὲ ἐν καὶ μὲν οἱ οὐ τὰ τὴν τῆς τὸ τὸν τοῦ τῷ τῶν ὡς
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...