Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United States
A.S. Barnes & Company, 1854 - 432 من الصفحات
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ABCD adjacent altitude base called centre chord circle circumference circumscribed common comp cone consequently construction contained convex surface corresponding Cosine Cotang cylinder described determine diagonal diameter difference distance divided draw drawn edges equal equations equivalent example expressed extremity faces fall feet figure follows formed four frustum given greater half height hence hypothenuse included inscribed intersect length less limit logarithm magnitudes manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular plane polygon prism PROBLEM proportional PROPOSITION pyramid quadrant radii radius ratio reason rectangle regular remaining right angles right-angled triangle Scholium segment sides similar sine solidity sphere square straight line suppose surface taken Tang tangent THEOREM third triangle triangle ABC unit vertex vertices whole
الصفحة 27 - If two triangles have two sides of the one equal to two sides of the...
الصفحة 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
الصفحة 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
الصفحة 26 - The sum of any two sides of a triangle is greater than the third side.
الصفحة 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
الصفحة 93 - The area of a parallelogram is equal to the product of its base and altitude.
الصفحة 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
الصفحة 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.