Alma Mater, Or, Seven Years at the University of Cambridge, Volume 1

Front Cover
Black, Young, and Young, 1827
 

Selected pages

Contents

Other editions - View all

Common terms and phrases

Popular passages

Page 125 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.
Page 265 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Page 303 - How quick they wheel'd, and flying behind them shot Sharp sleet of arrowy showers against the face Of their pursuers, and overcame by flight...
Page 263 - The sum of the angles of a spherical triangle is greater than two and less than six right angles. Hyp. ABC is a spherical triangle. To prove ZA + ZB + ZG> 180°, and ZA + ZB + ZC<5±0°. Proof. Construct the polar triangle A'B'C', and denote the number of degrees in B'C', C'A', and A'B', respectively, by a, b, and c.
Page 261 - From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same body falling by the same given force would descend through in the same given time.
Page 311 - Having given the radius of an arc of any colour in the secondary rainbow, find the ratio of the sine of incidence to the sine of refraction when rays of that colour pass out of air into water.
Page 310 - JJ & from the centre, is projected from a given point, in a given direction, and with a given velocity. (1) Find the equation to the trajectory described (2) Determine in what cases the body will fall into the centre, or go off to infinity. 8. The force varying...
Page 6 - This was a settler. I hummed and hahed for a moment, and then confessed my inability. " Then know, sir, (was the fag-end of the examination,) that at this place all things — prizes, scholarships, and fellowships, are bestowed, not on the greatest readers, but on those who, without any assistance, can produce most knowledge upon paper. You must henceforth throw aside your slate, which doubtless you have brought with you, and take to scribbling upon paper. You must
Page 315 - ... equal to the depth of its centre of gravity below the surface of the fluid.
Page 129 - Professor), ere we commence our criticisms upon the play before us, it will be proper to say a few words as to the nature, origin, and progress, of the Ancient Drama, generally.

Bibliographic information