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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre
Adrien Marie Legendre
Visualització completa - 1867
altitude apothem Applying logarithms axis base and altitude base multiplied centre chord circle circumference coincide common altitude cone consequently convex surface corresponding Cos1ne cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal in volume equal to half Find the area Find the logarithmic Formula frustum given angle greater hence homologous homologous sides hypothenuse included angle inscribed polygon intersection less Let ABC log sin lower base lune mantissa mean proportional number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle S1ne Scholium segment semi-circumference similar sine six right slant height solution sphere spherical excess spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular triangular prisms triedral angle upper base vertex vertices whence
Pàgina 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Pàgina 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Pàgina 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Pàgina 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 28 - If two triangles have two sides of the one equal to two sides of the...
Pàgina 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.
Pàgina 99 - The area of a parallelogram is equal to the product of its base and altitude.
Pàgina 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.