Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man [J.M.F. Wright]. |
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Page 111 - 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 251 - ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one...
Page 287 - 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 249 - 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 133 - 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...
Page 247 - 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 83 - Questionist has kept his full number of terms ; if not, the deficiency is mentioned in the supplicat, and a certificate explaining the cause is delivered to the Caput by the Father. The Registrary shews to the Caput that every candidate has subscribed that he is Lona fide a Member of the Church of England.
Page 71 - If two triangles have two sides of the one equal to two sides of the other, each to each, and the included...