The principles of analytical geometry

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Deighton & sons, 1826 - Geometry, Analytic - 326 pages
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Page 68 - the hyperbola, the difference of the squares of any two conjugate diameters is equal to the difference of the squares of the principal diameters
Page 1 - To bisect a given triangle by a straight line drawn from a given point in one of its sides. Let
Page 86 - The rectangle contained by the focal distances of any point, is equal to the square of the semi-diameter conjugate to that which passes through the
Page iv - the first is to the third as the difference between the first and second is to
Page 152 - parallelepiped, the square of the diagonal is equal to the sum of the squares of the three edges.
Page 201 - that every section of a sphere, made by a plane, is a circle.
Page 20 - To find the area of a triangle, in terms of the co-ordinates of its angular points;
Page 4 - sides, and the line drawn from the vertex to the middle of the base, to find the

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