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adjacent angles altitude angle ACB angle BAD bisect centre chord circ circle circular sector circumference circumscribed common cone construction continued fraction convex surface cosines cylinder diagonals diameter draw drawn equal angles equation equivalent figure formed formulas frustum given angle given line gles greater homologous sides hypotenuse inclination inscribed intersection isosceles less Let ABC let fall likewise measure multiplied number of sides oblique lines opposite parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedron prism proposition quadrilateral quantities radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle SABC Scholium sector segment semicircumference shewn similar sines solid angle solid described sphere spherical polygons spherical triangle square straight line suppose tang tangent THEOREM third side three angles trian triangle ABC triangular prism triangular pyramids vertex vertices
Σελίδα 74 - Two similar polygons are composed of the same number of triangles, similar each to each, and similarly situated.
Σελίδα 176 - The radius of a sphere is a straight line, drawn from the centre to any point of the surface ; the diameter, or axis, is a line passing through this centre, and terminated on both sides by the surface.
Σελίδα 243 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Σελίδα 58 - Two triangles of the same altitude are to each other as their bases, and two triangles of the same base are to each other as their altitudes. And triangles generally, are to each other, as the products of their bases and altitudes.
Σελίδα ii - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
Σελίδα 280 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Σελίδα 126 - If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to the same plane.
Σελίδα 28 - THEOREM. A straight line cannot meet the circumference of a circle in more than two points.