Alma Mater, Or, Seven Years at the University of Cambridge, Band 1Black, Young, and Young, 1827 |
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Æschylus amongst amused ancient angle body cæsura called Cambridge centre chapel circle Clare Hall commenced Court cram cycloid Dean described dinner distance equal Euclid Euripides Examination Explain fellow Fellow-commoners force Freshmen gentleman give given gown Gownsmen Greek Hall Hecuba Herodotus honour Iliad instances Johnian Junior Sophs learning Lecture-room Lectures Library Livy London Lord Mathematics ment morning never Newby Newton paper parabola poor Popular Preacher prove radius right ascension rooms round Senate-house Senior Wrangler shew sides snob Sophocles sort spherical spherical reflector Susarion Thespis thing Thucydides tion triangle TRINITY COLLEGE true anomaly Tutor University velocity whilst whole word ἂν γὰρ δὲ ἐκ ἐν ἐπὶ καὶ μὲν οἱ οὐ οὐκ τὰ τε τῇ τὴν τῆς τὸ τὸν τοῦ τῷ τῶν ὡς
Beliebte Passagen
Seite 124 - 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.
Seite 254 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Seite 250 - 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.
Seite 146 - ... described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC : the square described upon the side BC shall be equal to the squares described upon BA, AC.
Seite 146 - FC ; then, because each of the angles BAC, BAG is a right angle, the two straight lines AC, AG upon the opposite sides of AB make with it, at the point A, the adjacent angles equal to two right angles ; therefore CA is in the same straight line...
Seite 251 - The velocity of a body revolving in a parabola round the focus = the velocity of a body revolving in a circle at half the distance.
Seite 304 - ... equal to the depth of its centre of gravity below the surface of the fluid.
Seite 128 - Professor), ere we com- . mence 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.
Seite 311 - Find the content of the solid generated by the revolution of a cycloid round the tangent at its vertex. 20. Prove that the solid generated by the revolution of any regular polygon inscribed in a circle round its diameter, is equal to one-third of the surface generated, multiplied into the perpendicular drawn from the centre on one of its sides.