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adjacent angles altitude angle ACB angles is equal apothem base and altitude bisects centre chord circumference circumscribed common cone consequently construct convex surface corresponding cosine cotangent cylinder decagon diagonals diameter distance divided draw drawn edges equal altitudes equal in volume equally distant equilateral feet formula frustum given angle given line given point given straight line greater hence homologous hypothenuse included angle inscribed angle interior angles intersect isosceles less Let ABC logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism Problem.—In PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium segment side BC similar sine slant height sphere spherical angle spherical polygon spherical triangle tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices
Seite 28 - If two triangles have two sides of the one equal to two sides of the...
Seite 18 - Things which are equal to the same thing, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal.
Seite 296 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 253 - For, the point A being the pole of the arc EF, the distance AE is a 'quadrant ; the point C being the pole of the arc DE, the distance CE is likewise a quadrant : hence the point E is...
Seite 61 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Seite 126 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Seite 46 - 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.