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 Libros Libros 1 a 10 de 120 sobre To prove that the locus of the middle points of a system of parallel chords of a... To prove that the locus of the middle points of a system of parallel chords of a parabola is a straight line parallel to the axis of the parabola. A Treatise on Infinitesimal Calculus: The dynamics of material systems. 1862 - Página 13
1862
Vista completa - Acerca de este libro The Mathematical Miscellany, Volúmenes 1-2

1836
...Rules for finding the logarithms of numbers. (5G). QUESTION VI. By . Def. A diameter of a curve is the locus of the middle points of a system of parallel chords. Find the equations of the diameters of the curves represented by the general equation of the second...
Vista completa - Acerca de este libro A Treatise on Conic Sections and the Application of Algebra to Geometry

John Hymers - 1837 - 130 páginas
...is С and radius equal to ^/a* + b3. The Ellipse referred to its conjugate Diameters. 138. To find the locus of the middle points of a system of parallel chords. Let the chords be parallel to a line CD (fig. 45) through fhe center, whose equation is y = mx; then...
Vista completa - Acerca de este libro Two Geometrical Memoirs on the General Properties of Cones of the Second ...

Michel Chasles, Charles Graves - 1837 - 112 páginas
...consequently HP=2a + r, we have . 2а + r The Hyperbola referred to its Conjugate Diameters. 187- To find the locus of the middle points of a system of parallel chords. Let the chords be parallel to a line CW through the center (fig. 57), whose equation is y — mx ;...
Vista completa - Acerca de este libro The Cambridge University Magazine, Volumen 1,Número 1

1840
...Sln T~ ' . c AB C . a+b and sin - . cos — — — = sin — . sin -•;;--• m im £i £i 8. Find the locus of the middle points of a system of parallel chords of the curve whose equation is ax* + bxy + cy* + dx -f ey +f = 0. Hence shew that the curve has generally...
Vista completa - Acerca de este libro The Educational Magazine

.... sin ~~£ 2 2 2 ' c A — BC , o + 4 and sin T..COS.•• = sm — . sm — — ' 9 31 22 8. Find the locus of the middle points of a system of parallel chords of the curve whose equation is aa* + hxy + cy* + dx + ey +/= 0. Heuce show that the curve has generally...
Vista completa - Acerca de este libro THE SOLUTIONS OF GEOMETRICAL PROBLEMS

...tangents to the latter. Find the locus of the intersections of the latter pairs of tangents. 15. Find the locus of the middle points of a system of parallel chords drawn between an hyperbola and the conjugate hyperbola. 16. If a pair of conjugate diameters of an...
Vista completa - Acerca de este libro A Treatise on Analytical Geometry of Tree Dimensions: Containing the Theory ...

John Hymers - 1848 - 324 páginas
...proposed equation must be capable of being resolved into two rational factors of the first degree. 136. The locus of the middle points of a system of parallel chords of any proposed surface is called its diametral surface. This surface will have several sheets, if...
Vista completa - Acerca de este libro PROBLEMS IN ILLUSTRATION OF THE PRINCIPLES OF PLANE COORDINATE GEOMETRY.

WILLIAM WALTON, M.A., - 1851
...QR.QR' = Zl'\ Similarly gr.gr' = 26'2. De la Hire : Sectwnes Conicm, lib. IV. prop. 34. 2. To find the locus of the middle points of a system of parallel chords drawn between an hyperbola and the conjugate hyperbola. Let two conjugate diameters be taken as axes...
Vista completa - Acerca de este libro Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volumen 66

Sholto Percy - 1857
...intelligible to the great bulk of students; and that mode of investigation which is made to depend on the locus of the middle points of a system of parallel chords is more unexceptionable, as jhe peculiar difficulties of the doctrine of limits are therein almost entirely...
Vista completa - Acerca de este libro The Oxford, Cambridge, and Dublin Messenger of Mathematics, Volumen 1

1862
...tangent lines parallel to a is = 0. XXVII. To study the nature of the surface more closely, let us find the locus of the middle points of a system of parallel chords. Let them be parallel to a, then, if ts be the vector of the middle point of one of them, ts + xa. and...
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