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Page 18
... Circle . Vol . I. , 8vo . 10s . 6d . Vol . II . 12s . Trench's English , Past and Present , 12mo . 4s . 6d . Trench on the Study of Words . New Edition . 4s . 6d . Trench's Select Glossary of English Words . 4s . Trench's 18 Classical ...
... Circle . Vol . I. , 8vo . 10s . 6d . Vol . II . 12s . Trench's English , Past and Present , 12mo . 4s . 6d . Trench on the Study of Words . New Edition . 4s . 6d . Trench's Select Glossary of English Words . 4s . Trench's 18 Classical ...
Page 6
... circle , the centre of force being in the circumference of the circle . 18. A weight P descending draws a weight Q up an inclined plane whose height is h , and length 7 , by a chord passing over a pulley at the summit of the plane ...
... circle , the centre of force being in the circumference of the circle . 18. A weight P descending draws a weight Q up an inclined plane whose height is h , and length 7 , by a chord passing over a pulley at the summit of the plane ...
Page 22
... circle , and the co - ordinates of its centre . 6. Find the equations of the perpendiculars at the middle points of the sides of a triangle , the co - ordinates of whose vertices are given . DR . TRAILL . 7. What is the chance of ...
... circle , and the co - ordinates of its centre . 6. Find the equations of the perpendiculars at the middle points of the sides of a triangle , the co - ordinates of whose vertices are given . DR . TRAILL . 7. What is the chance of ...
Page 23
... circles x2 + y2 = 2y and x2 + y2 = 2x . MR . BURNSIDE . 13. Determine the equation of the tangents drawn from a given point to the circle x2 + y2 — r2 = 0 . 14. Given the angles of a triangle ; one vertex is fixed , another moves along ...
... circles x2 + y2 = 2y and x2 + y2 = 2x . MR . BURNSIDE . 13. Determine the equation of the tangents drawn from a given point to the circle x2 + y2 — r2 = 0 . 14. Given the angles of a triangle ; one vertex is fixed , another moves along ...
Page 24
... circle . 4. Find the condition that two conics , given by their general equa- tions , should be similar to each other . Determine the additional condi- tion that the conics should be equal in every respect . 5. Reduce to its equivalent ...
... circle . 4. Find the condition that two conics , given by their general equa- tions , should be similar to each other . Determine the additional condi- tion that the conics should be equal in every respect . 5. Reduce to its equivalent ...
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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...