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ABCD B.Sc base bisects Book called centre centre of similitude CHAPTER chord common complete concurrent constant Construct conversely corresponding described diagonals diameter difference distance divided draw drawn Edition equal EXERCISES externally faces figure fixed four Geometry given circles given line given point given straight line harmonic Hence inscribed internally intersection inverse irrational length lies locus mean measure meet numbers pair parallel parallel planes parallelogram parallelopiped passes perpendicular Picture polygon possible practical produced Proof proportional quadrilateral quantities radius ratio rectangle contained regular Required to prove respectively right angles Second segments Show sides similar Similarly solid sphere square straight line tangents tetrahedron THEOREM third three lines triangle triangle ABC Tutorial
Σελίδα 570 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 584 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle.
Σελίδα 575 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 424 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 10 - The historical part is concise and clear, but the criticism is even more valuable, and a number of illustrative extracts contribute a most useful feature to the volume.
Σελίδα 571 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 16 - The object of the UNIVERSITY TUTORIAL SERIES is to provide candidates for examinations and learners generally with text-books which shall convey in the simplest form sound instruction in accordance with the latest results of scholarship and scientific research. Important points are fully and clearly treated, and care has been taken not to introduce details which are likely to perplex the beginner. The Publisher will be happy to entertain applications from Schoolmasters for specimen copies of any...
Σελίδα 583 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means...
Σελίδα 574 - If a parallelogram and a triangle be on the same base and between the same parallels, the parallelogram shall be double of the triangle.