 | Isaac Todhunter - 1855 - 376 pages
...Art. 248, CP= CD, and, by Art. 259, OP and CD are equally inclined to the asymptotes. EXAMPLES. 1. The radius of a circle which touches an hyperbola...asymptotes is equal to that part of the latus rectum which is intercepted between the curve and asymptote. 2. A line drawn through one of the vertices of... | |
 | Alfred Wrigley - 1857 - 332 pages
...points H, K and the curve in P, Q ; prove that PH = QK. 27. The radius of the circle, which touches a hyperbola and its asymptotes, is equal to that part...is intercepted between the curve and the asymptote. 28. Prove that every chord of a hyperbola divides into two equal parts the portion of either asymptote... | |
 | William Henry Drew - 1857 - 170 pages
...and AY be joined, the triangles P CA, OA i^are similar. 24. The radius of the circle which touches a hyperbola and its asymptotes, is equal to that part...produced which is intercepted between the curve and the asymptotes. 25. If QQ' be any chord of a hyperbola, and CP the diameter corresponding to it, and QH,... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...248, CP= CD, and therefore by Art. 259, CP and CD are equally inclined to the asymptotes. EXAMPLES. 1. The radius of a circle which touches an hyperbola...asymptotes is equal to that part of the latus rectum which is intercepted fcetween the curve and asymptote. 2. A line drawn through one of the vertices... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...points H, K and the curve in P, Q ; prove that PH = QK. 27. The radius of the circle, which touches a hyperbola and its asymptotes, is equal to that part...is intercepted between the curve and the asymptote. 28. Prove that every chord of a hyperbola divides into two equal parts the portion of either asymptote... | |
 | William Henry Drew - Conic sections - 1869 - 153 pages
...angles to the tangent at P, and AY be joined, the triangles PGA, CAY are similar. 24. The radius of the circle which touches an hyperbola and its asymptotes,...produced which is intercepted between the curve and the asymptotes. 25. If QQ' by any chord of an hyperbola, and GP the diameter corresponding to it, and QH,... | |
 | George Holmes Howison - Geometry, Analytic - 1869 - 622 pages
...the locus of the points of contact is an hyperbola concentric with the ellipses. 9. The radius of the circle which touches an hyperbola and its asymptotes,...latus rectum produced which is intercepted between the asymptote and the curve. 10. About the focus of an hyperbola, a circle is described with a radius equal... | |
 | George Holmes Howison, Joseph Ray - Geometry, Analytic - 1869 - 622 pages
...the locus of the points of contact is an hyperbola concentric with the ellipses. 9. The radius of the circle which touches an hyperbola and its asymptotes, is equal to that part of the latns rectum produced which is intercepted between the asymptote and the curve. 10. About the focus... | |
 | Charles Astor Bristed - 1873 - 588 pages
...inch, and its breadth is two inches, find the radius of its spherical surface. 2. The radius of the circle, which touches an hyperbola and its asymptotes, is equal to that part of the latua rectum produced which is intercepted between the curve and the asymptote. 3. Two persons A and... | |
 | Harvard University - 1873 - 732 pages
...axis, and show how, by this principle, to draw a tangent at a given point on the curve. 7. Show that the radius of a circle which touches an hyperbola and its asymptotes is equal to part of the latus rectum produced which is between the curve and asymptote. 8. Deduce the equation... | |
| |
The radius of the circle, which touches an hyperbola and its asymptotes, is equal to that part of the latus rectum produced which is intercepted between the curve and the asymptote. 
