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Sivu 127 - 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.
Sivu 305 - 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...
Sivu 265 - 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.
Sivu 149 - 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...
Sivu 263 - 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.
Sivu 14 - Thus the ideas, as well as children, of our youth often die before us; and our minds represent to us those tombs to which we are approaching; where though the brass and marble remain, yet the inscriptions are effaced by time, and the imagery moulders away.
Sivu 101 - 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.
Sivu 15 - Nature to all things fix'd the limits fit, And wisely curb'd proud man's pretending wit. As on the land while here the ocean gains, In other parts it leaves wide sandy plains; Thus in the soul while memory prevails, The solid power of understanding fails; Where beams of warm imagination play, The memory's soft figures melt away.