Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" Generally the reciprocal of a curve is the locus of the centres of circles through the origin to touch the inverse curve. Thus, " the envelope of a circle passing through a given point, and having its centre on a parabola, is a circular cubic with a double... "
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ... - Page 241
by George Salmon - 1852 - 316 pages
Full view - About this book

A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1852 - 329 pages
...through the double point of the limagon to touch the curve, is a circle;" or otherwise, " the limagon may be generated as the envelope of circles passing...transformations ; viz., when p = 0o> is altered to p n = (j)(nw). It is unnecessary to write down the effect of the transformation for curves of the form...
Full view - About this book

A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Conic sections - 1852 - 334 pages
...through the double point of the limagon to touch the curve, is a circle ;" or otherwise, " the limagon may be generated as the envelope of circles passing...case of M. Chasles's transformations ; viz., when p = 0to is altered to p" = <p (nw). It is unnecessary to write down the effect of the transformation...
Full view - About this book

Geometrical Exercises for Beginners

Samuel Constable - Geometry - 1882 - 218 pages
...in general, be drawn passing through two given points and touching a given circle. PKOP. 89. Every circle, passing through a given point, and having its centre on a given straight line, passes also through, another fixed point. Draw PD perpendicular to LM, and produce...
Full view - About this book

The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...circle subtend a right angle at a given point, the locus of its middle point is a circle. 2. Every circle passing through a given point, and having its centre on a given fine, passes through another given point. 3. Draw a chord in a given circle which shall subtend...
Full view - About this book

The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...circle subtend a right angle at a given point, the locus of its middle point is a circle. 2. Every circle passing through a given point, and having its centre on a given lone, passes through another given point. 3. Draw a chord in a given circle which shall subtend...
Full view - About this book

Calendar, for the Year ...

1895 - 142 pages
...shall cut it at right angles : and, conversely, if it cut it at right angles, it shall bisect it. Every circle passing through a given point, and having its centre on a given line, passes through another fixed point. 2. If two chords of a circle cut one another, the rectangle...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF