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Page 5
... surface of equal pressure passing through the point . MR . BURNSIDE . 13. Two spheres rest on two smooth inclined planes , and press against each other ; to determine their position . 14. A ladder with twelve steps is placed with one ...
... surface of equal pressure passing through the point . MR . BURNSIDE . 13. Two spheres rest on two smooth inclined planes , and press against each other ; to determine their position . 14. A ladder with twelve steps is placed with one ...
Page 7
... surface . MR . BURNSIDE . 11. A board movable about a horizontal line in its own plane is sup- ported by resting on a rough sphere which lies on a horizontal table ; find the greatest inclination at which the board can rest . 12. Find ...
... surface . MR . BURNSIDE . 11. A board movable about a horizontal line in its own plane is sup- ported by resting on a rough sphere which lies on a horizontal table ; find the greatest inclination at which the board can rest . 12. Find ...
Page 47
... surfaces are connected in it with the gene- rated surface and with each other . 4. The apsidals of two reciprocal ellipsoids are themselves reciprocal surfaces ; give MacCullagh's proof of this , and show that it affords an ...
... surfaces are connected in it with the gene- rated surface and with each other . 4. The apsidals of two reciprocal ellipsoids are themselves reciprocal surfaces ; give MacCullagh's proof of this , and show that it affords an ...
Page 48
... surface are cones ; and show that the surface locus intersects the given surface in its parabolic points . 2. Adopting Gauss's notation , prove that the radius of curvature , p , of any normal section of a surface may be derived from ...
... surface are cones ; and show that the surface locus intersects the given surface in its parabolic points . 2. Adopting Gauss's notation , prove that the radius of curvature , p , of any normal section of a surface may be derived from ...
Page 133
... surface , from its line of intersection with the surface of the fluid , is Moment of inertia Statical moment 2. A rectangular plane whose vertical height is 10 feet is sunk until its upper side is 20 feet below the surface of a fluid ...
... surface , from its line of intersection with the surface of the fluid , is Moment of inertia Statical moment 2. A rectangular plane whose vertical height is 10 feet is sunk until its upper side is 20 feet below the surface of a fluid ...
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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...