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Página 5
... expression for their common acceleration . 3. A weight of 8 lbs . is suspended from the extremity of a string 20 ft . long ; find the least velocity that should be given to it in order to break the string , if the greatest weight which ...
... expression for their common acceleration . 3. A weight of 8 lbs . is suspended from the extremity of a string 20 ft . long ; find the least velocity that should be given to it in order to break the string , if the greatest weight which ...
Página 7
... variable , being given x = 3. Integrate the expressions f dx ( x + a ) √1 - x2 9 dx I- 4. Find the whole area of the loop of the curve y3 — 3axy + x3 = 0 . DR . TRAILL . 5. Find , by Maclaurin's theorem JUNIOR SOPHISTERS - MATHEMATICS .
... variable , being given x = 3. Integrate the expressions f dx ( x + a ) √1 - x2 9 dx I- 4. Find the whole area of the loop of the curve y3 — 3axy + x3 = 0 . DR . TRAILL . 5. Find , by Maclaurin's theorem JUNIOR SOPHISTERS - MATHEMATICS .
Página 24
... expression 13+ 21x + 2x2 1 - 5x2 + 4x4 DR . TRAILL . 6. If any equation be transformed so as to have its second term re- moved , prove that the coefficients of the transformed equation are func- tions of the differences of the roots of ...
... expression 13+ 21x + 2x2 1 - 5x2 + 4x4 DR . TRAILL . 6. If any equation be transformed so as to have its second term re- moved , prove that the coefficients of the transformed equation are func- tions of the differences of the roots of ...
Página 32
... vertex , and give the geometrical construction . 4. Find the value of the expression 4ab a- b a + b a + b b - a - ba 5. Find the sum of 7+ √44 and 7 - 32 HONOR EXAMINATION PAPERS - HILARY TERM . 32 Junior Freshmen, Mathematics,
... vertex , and give the geometrical construction . 4. Find the value of the expression 4ab a- b a + b a + b b - a - ba 5. Find the sum of 7+ √44 and 7 - 32 HONOR EXAMINATION PAPERS - HILARY TERM . 32 Junior Freshmen, Mathematics,
Página 48
... expression for the measure of curvature at any point on a surface , I = Do D2 - D1 RR ' ( EG — F2 ) 9 * 4. Apply this last form to prove that if a flexible but inextensible surface be deformed in any way , its measure of curvature at ...
... expression for the measure of curvature at any point on a surface , I = Do D2 - D1 RR ' ( EG — F2 ) 9 * 4. Apply this last form to prove that if a flexible but inextensible surface be deformed in any way , its measure of curvature at ...
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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
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Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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!
Página 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.
Página 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.
Página 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.
Página 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...