Dublin examination papers |
Результаты поиска по книге
Результаты 1 – 5 из 26
Стр. 29
... intersect on the polar of that point . 3. Find the eccentricity of a conic given by its general equation . 4. Prove the ... intersection of tangents to an ellipse or hyperbola which intersect at right angles . MR . LESLIE . 13. Find the ...
... intersect on the polar of that point . 3. Find the eccentricity of a conic given by its general equation . 4. Prove the ... intersection of tangents to an ellipse or hyperbola which intersect at right angles . MR . LESLIE . 13. Find the ...
Стр. 30
... intersection of the perpendicular from the centre on any tangent to a conic , with the radius vector from a focus to the point of contact . 15. Determine the radius of curvature , and the co - ordinates of the centre of curvature , at ...
... intersection of the perpendicular from the centre on any tangent to a conic , with the radius vector from a focus to the point of contact . 15. Determine the radius of curvature , and the co - ordinates of the centre of curvature , at ...
Стр. 31
... intersect at a constant angle ; investi- gate , geometrically , the locus of their point of intersection . 8. Given the ... intersection of normals drawn to a conic at the extremities of a focal chord . 10. Prove that normals drawn to an ...
... intersect at a constant angle ; investi- gate , geometrically , the locus of their point of intersection . 8. Given the ... intersection of normals drawn to a conic at the extremities of a focal chord . 10. Prove that normals drawn to an ...
Стр. 37
... intersect at a point ? Prove that this condition is satisfied for the bisectors of the angles and the perpendiculars . 15. Given the difference of the squares of two lines , and the rectangle under them ; find them . 16. Prove that the ...
... intersect at a point ? Prove that this condition is satisfied for the bisectors of the angles and the perpendiculars . 15. Given the difference of the squares of two lines , and the rectangle under them ; find them . 16. Prove that the ...
Стр. 86
... intersection of tangents at points which sub- tend a given angle at the focus of an ellipse or hyperbola . 3. Prove that the directrix of a parabola touching three lines passes through the point of intersection of the perpendiculars of ...
... intersection of tangents at points which sub- tend a given angle at the focus of an ellipse or hyperbola . 3. Prove that the directrix of a parabola touching three lines passes through the point of intersection of the perpendiculars of ...
Другие издания - Просмотреть все
Часто встречающиеся слова и выражения
acid Æneid ancient angle Aristotle Articles beam Beginning Butler's Cæsar calculate centre Cicero circle cloth coefficient conic curve deduce Demosthenes Describe determine diameter Distinguish Edition ellipse Ending Enumerate equation equilibrium Euripides Explain expression Find the locus following passage force formula Give an account Give some account given point gravity Greek Prose Hallam Hebrew Herodotus History Ibid inclined inclined plane inscribed intersection Julius Cæsar LONGFIELD meaning Mention method original passage into Greek passage into Latin passages into English Pentateuch perpendicular Phædo polar pressure princeps senatus principle PROFESSOR prove ratio respect Roman Rome Sanskrit Scripture sides solution Sophocles square STUBBS surface tangents temperature Tertullian Testament theory Thucydides tion Translate the following triangle Trimeters velocity verb vertical vols weight words Write a note δὲ ἐν καὶ μὲν μὴ τῆς τὸ τῶν
Популярные отрывки
Стр. 195 - The glories of our blood and state Are shadows, not substantial things ; There is no armour against fate ; Death lays his icy hand on kings : Sceptre and Crown Must tumble down, And in the dust be equal made With the poor crooked scythe and spade.
Стр. 3 - God knows, my son,\ By what by-paths and indirect crook'd ways I met this crown ; and I myself know well How troublesome it sat upon my head.
Стр. 128 - The march begins in military state, And nations on his eye suspended wait; Stern Famine guards the solitary coast, And Winter barricades the realms of Frost; He comes...
Стр. 234 - That thence the Royal actor borne The tragic scaffold might adorn : While round the armed bands Did clap their bloody hands. He nothing common did or mean Upon that memorable scene, But with his keener eye The axe's edge did try; Nor call'd the Gods, with vulgar spite, To vindicate his helpless right ; But bow'd his comely head Down, as upon a bed.
Стр. 104 - Cowards die many times before their deaths ; The valiant never taste of death but once. Of all the wonders that I yet have heard, It seems to me most strange that men should fear; Seeing that death, a necessary end, Will come when it will come.
Стр. 3 - WE all of us complain of the shortness of time, saith Seneca, and yet have much .more than .we know what to do with. Our lives, says he, are spent either in doing nothing at all, or in doing nothing to the purpose, or in doing nothing that we ought to do; we are always complaining our days are few, and acting as though there would be no end to them.
Стр. 43 - He, only, in a general honest thought, And common good to all, made one of them. His life was gentle; and the elements So mix'd in him, that Nature might stand up, And say to all the world, This was a man!
Стр. 128 - His fall was destined to a barren strand, A petty fortress, and a dubious hand ; He left the name, at which the world grew pale, To point a moral, or adorn a tale.
Стр. 127 - Truth is always consistent with itself, and needs nothing to help it out ; it is always near at hand, and sits upon our lips, and is ready to drop out before we are aware ; whereas a lie is troublesome, and sets a man 's invention upon the rack,' and' one trick needs a great many more to make it good.
Стр. 234 - Next Marlowe, bathed in the Thespian springs, Had in him those brave translunary things That the first poets had ; his raptures were All air and fire, which made his verses clear ; For that fine madness still he did retain Which rightly should possess a poet's brain.