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Página 38 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Página 41 - If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Página 41 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Página 39 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Página 37 - About a given circle to describe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle; it is required to describe a triangle about the circle ABC equiangular to the triangle DEF.
Página 29 - General outlines of Greek History to the fall of Corinth. General outlines of Roman History to the death of Augustus. The Geography relating to the history prescribed. One half examination paper.
Página 35 - Measurement of velocity; uniformly accelerated rectilineal motion; metre; units of force, work, energy and power; equilibrium of forces acting at a point; triangle, parallelogram, and polygon of forces; parallel forces; principle of moments; centre of gravity; laws of friction; numerical examples. HYDROSTATICS: Fluid pressure at a point; pressure on a horizontal plane; pressure on an inclined plane; resultant vertical pressure, and resultant horizontal pressure, when fluid is under air pressure and...
Página 38 - Parallelograms on the same base, or on equal bases, and between the same parallels are equal. Triangles on the same base, or on equal bases, and between the same parallels are equal. Triangles equal in area, and on the same base, are between the same parallels. If a parallelogram and a triangle be on the same base, and between the same parallels, the parallelogram is double the triangle.
Página 28 - COLERIDGE : The Ancient Mariner. WORDSWORTH : Michael, Influence of Natural Objects, Nutting, Expostulation and Reply, The Tables Turned, The Solitary Reaper, Ode to Duty, Elegiac Stanzas, To the Rev Dr. Wordsworth, "She was a phantom of Delight," To the Cuckoo, The Green Linnet, "Bright Flower! whose home...
Página 33 - COLERIDGE, The Ancient Mariner. WORDSWORTH, Michael, Influence of Natural Objects, Nutting, Expostulation and Reply, The Tables Turned, The Solitary Reaper, Ode to Duty, Elegiac Stanzas, To the ReV. Dr. Wordsworth, " She was a Phantom of delight," To the Cuckoo, The Green Linnet, "Bright Flower! whose home," To a Skylark, ("Ethereal minstrel!