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Page 438 - Know ye not that they which run in a race run all, but one receiveth the prize ? So run, that ye may obtain. And every man that striveth for the mastery is temperate in all things. Now they do it to obtain a corruptible crown ; but we an incorruptible.
Page 483 - What though the field be lost? All is not lost; the unconquerable will, And study of revenge, immortal hate, And courage never to submit or yield: And what is else not to be overcome?
Page 441 - Hope springs eternal in the human breast: Man never is, but always to be blest. The soul, uneasy and confined, from home, Rests and expatiates in a life to come.
Page 444 - The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal.
Page 518 - ... that the intensity of light varies inversely as the square of the distance.
Page 444 - The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Page 444 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.
Page 516 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Page 484 - If two triangles have two sides of the one equal to two sides of the...
Page 484 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle...