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Página 6
... ellipse , and rebounds after impact on the border ; find its direction after the nth impact , and show that it will eventually move along the axis major . 7. Find the condition that there should be no loss of vis viva after the impact ...
... ellipse , and rebounds after impact on the border ; find its direction after the nth impact , and show that it will eventually move along the axis major . 7. Find the condition that there should be no loss of vis viva after the impact ...
Página 7
... ellipse of least eccentricity in order that it may be capa- ble of resting in equilibrium upon a perfectly rough inclined plane . 13. A square board is supported in a horizontal position by three ver- tical strings ; if one be attached ...
... ellipse of least eccentricity in order that it may be capa- ble of resting in equilibrium upon a perfectly rough inclined plane . 13. A square board is supported in a horizontal position by three ver- tical strings ; if one be attached ...
Página 24
... ellipse at the point ( x'y ' ) . 10. Find the locus of the intersection of lines drawn from the extre- mities of the axis major of an ellipse to the extremities of any pair of conjugate diameters . MR . BURNSIDE . 11. Determine the ...
... ellipse at the point ( x'y ' ) . 10. Find the locus of the intersection of lines drawn from the extre- mities of the axis major of an ellipse to the extremities of any pair of conjugate diameters . MR . BURNSIDE . 11. Determine the ...
Página 25
... ellipse two variable points A and B be taken , so that the intercept AB be constant , find the locus of the inter- section of tangents from A and B to the ellipse . 9. If the chance that A can solve a certain problem in conics be , and ...
... ellipse two variable points A and B be taken , so that the intercept AB be constant , find the locus of the inter- section of tangents from A and B to the ellipse . 9. If the chance that A can solve a certain problem in conics be , and ...
Página 114
... ellipse . 5. If any number of forces be applied in the same plane to a rigid body , prove that they are reducible to a single force , and show how to find its magnitude and direction by a geometrical construction . 6. Find the least ...
... ellipse . 5. If any number of forces be applied in the same plane to a rigid body , prove that they are reducible to a single force , and show how to find its magnitude and direction by a geometrical construction . 6. Find the least ...
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Términos y frases comunes
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
Pasajes populares
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...