Cerca Imatges Maps Play YouTube Notķcies Gmail Drive Més »
Inicia la sessió
Llibres Llibres
" The locus of the middle points of a system of parallel chords in a parabola is called a diameter. "
An Elementary Treatise on Conic Sections - Pągina 100
per Charles Smith - 1883 - 352 pągines
Visualització completa - Sobre aquest llibre

The Mathematical Miscellany

1836 - 600 pągines
...Rules for finding the logarithms of numbers. (50). 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...
Visualització completa - Sobre aquest llibre

Two Geometrical Memoirs on the General Properties of Cones of the Second ...

Michel Chasles - 1837 - 564 pągines
...center is С and radius equal to v a2 + W. 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 the center, whose equation is y = mx ; then...
Visualització completa - Sobre aquest llibre

A Treatise on Conic Sections: And the Application of Algebra to Geometry

John Hymers - 1837 - 486 pągines
...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...
Visualització completa - Sobre aquest llibre

The Educational Magazine

1840 - 468 pągines
.... 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...
Visualització completa - Sobre aquest llibre

The Cambridge University Magazine, Volum 1,Edició 1

1840 - 528 pągines
...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...
Visualització completa - Sobre aquest llibre

The Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - 1847 - 301 pągines
...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...
Visualització completa - Sobre aquest llibre

A Treatise on Analytical Geometry of Tree Dimensions: Containing the Theory ...

John Hymers - 1848 - 368 pągines
...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 each...
Visualització completa - Sobre aquest llibre

Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volum 66

Perry Fairfax Nursey - 1857 - 644 pągines
...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...
Visualització completa - Sobre aquest llibre

A Treatise on Infinitesimal Calculus: Containing Differential and ..., Volum 4

Bartholomew Price - 1862 - 614 pągines
...from another property of surfaces of the second degree. I shall in the first place demonstrate that the locus of the middle points of a system of parallel chords is a plane. Let us take (28) to be the equation to the surface ; and let the equations to one of a...
Visualització completa - Sobre aquest llibre

The Oxford, Cambridge, and Dublin Messenger of Mathematics, Volum 1

1862 - 282 pągines
...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...
Visualització completa - Sobre aquest llibre




  1. La meva biblioteca
  2. Ajuda
  3. Cerca avanēada de llibres
  4. Baixeu EPUB
  5. Descarrega PDF