Mathematics for Engineering Students

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D. Van Nostrand Company, 1908 - 356 páginas
 

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Página 124 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Página 68 - A trinomial is a perfect square if the first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the first and last terms (§ 61, p.
Página 114 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Página 159 - Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle.
Página 155 - Hypocycloid) is a curve generated by a point on the circumference of a circle of radius a which rolls without slipping on the outside (or inside) of a fixed circle of radius c.
Página 46 - This shows that the general form is reduced to the normal form by dividing the general form through by the square root of the sum of the squares of the coefficients of x and y.
Página 50 - Find the coordinates of the point of intersection of the medians of the triangle whose vertices are any three points PI, P2, and P3.
Página 130 - A surface is such that the product of the distances of any point on it from two fixed points A and B is equal to the sum of those distances multiplied by a constant.
Página 339 - This will be an identity in x if and only if the coefficients of like powers of x on the two sides are equal: A + B = 5, -3A + B = -3.
Página 51 - Find the co-ordinates of the centre of the circle circumscribing the triangle whose vertices are (2, 0, 4), (2, 4, 2), (0, 2, 4).

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