### Δημοφιλή αποσπάσματα

Σελίδα 666 - And lastly, we do by these presents, for us, our heirs and successors, grant unto the said corporation hereby established, and their successors, that these our letters patent, or the enrolment or exemplification thereof, shall be in, and by all things, good, firm, valid, sufficient and effectual in the law, according to the true intent and meaning thereof...
Σελίδα 73 - The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same segment of a circle are equal; and. if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle...
Σελίδα 70 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 74 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 71 - ... points. The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines.
Σελίδα 71 - If there are three or more parallel straight lines, and the intercepts 'made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.
Σελίδα 72 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
Σελίδα 666 - ... and shall be taken, construed, and adjudged in the most favourable and beneficial sense, for the best advantage of...
Σελίδα 72 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which...
Σελίδα 667 - Knight Grand Cross of Our Most Distinguished Order of Saint Michael and Saint George; Knight Grand Commander of Our Most Eminent Order of the Indian Empire; Knight Grand Cross of Our Royal Victorian Order; Our Personal Aide-deCamp; Governor General and Commander-in-Chief of Our Dominion of Canada.