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Page 537 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Page 609 - HIGH on a throne of royal state, which far Outshone the wealth of Ormus and of Ind, Or where the gorgeous East, with richest hand, Showers on her kings barbaric pearl and gold...
Page 537 - 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 is greater than a right angle.
Page 537 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 537 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each, viz.
Page 609 - Above all hills. As when by night the glass Of Galileo, less assured, observes Imagined lands and regions in the moon ; Or pilot from amidst the Cyclades Delos or Samos first appearing kens A cloudy spot.
Page 537 - If the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous sides. Let the triangles ABC, DEF have their sides proportionals, so that AB is to BC, as DE to EF ; and BC to CA, as EF to FD ; and consequently, ex...
Page 431 - ... control, John Simon was appointed Medical Officer of Health of the city. In this capacity he brought into existence a system of sanitary administration which has served as the model on which similar systems have been organised, not only in Great Britain, but throughout the civilised world. When, in 1858, the powers of the General Board of Health were transferred to the Privy Council, the knowledge and experience gained by Mr. Simon during his seven years of office in the city were made available...
Page 609 - Against revolted multitudes the cause Of truth, in word mightier than they in arms ; And for the testimony of truth hast borne Universal reproach, far worse to bear Than violence: for this was all thy care To stand approved in sight of God, though worlds Judged thee perverse...
Page 537 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.