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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre
Adrien Marie Legendre
Uten tilgangsbegrensning - 1867
ABCD ABODE adjacent angles altitude bisect centre chord circumference circumscribed common comp cone consequently convex surface cos2 Cosine Cotang cubes cylinder diagonal diameter distance divided draw drawn edges equal altitudes equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular PEOBLEM perimeter perpendicular plane MN polyedral angle polyedron PROPOSITION pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment similar sin2 sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices
Side 24 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal.
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 43 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the sum of the exterior angles.
Side 215 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Side 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 231 - The angles of spherical triangles may be compared together, by means of the arcs of great circles described from their vertices as poles and included between their sides : hence it is easy to make an angle of this kind equal to a given angle.