 About 2,130 results  books.google.com Through any point can be drawn four circles osculating a given parabola. ...
Joachimsthal's Circle touches the parabola when two of the three normals
coincide ; then, if xy be the centre of curvature, and a/J of Joachimsthal's Circle,
we have, ... 

 books.google.com Gérard, G. Mathesis 19 (1899) 136. Hyperbola, normals, problem. Lauermann, К
. Wien Ak. Sb. 107 (1898) (Ab. 2a) 861. Joachimsthal's circle, equation.
Guimarâes, R. Fschr. Mth. (1900) 586. — theorems on normals, etc. Laguerre, E.
Par. 

 books.google.com Concentric circles, two sets of three, having same common difierence of radii Tait,
P G. Edinb. ... tangential Coelingh, D. N A1ch Wisk 16 (1889) 116; Fschr. Mth. (
1889)614— Joachimsthal's circle Longchampa, G. de Mathesis 9 1889) 153. 

 books.google.com triangle circumscribing a fixed circle Y whose centre is O and radius equal to «*/(
«+ b). ... the middle point of OO', and which passes through P. By known
properties of the Joachimsthal's circle, this circle cuts the ellipse again in three
points (Q, ... 

 books.google.com triangle circumscribing a fixed circle Y whose centre is O and radius equal to abj(
a + b). ... middle point of OO', and which passes through P. By known properties
of the Joachimsthal's circle, this circle cuts the ellipse again in three points (Q, R,
... 

 books.google.com But it is the mothers and girls of Joachimsthal whom Eber especially urges to
share the printed hymnal with those of their ... family.45 A woman's circle of
religious influence could also extend beyond the household itself to include
friends and ... 

 books.google.com Hence we have the following result, due to Joachimsthal * : When the lines of
curvature in one system lie in planes ... Each of the curves of the first system is an
orthogonal trajectory of the circles in which the spheres are cut by its plane. 

 books.google.com Another useful construction is founded on the principle that if a circle intersect a
conic, its chords of intersection will ... of the eccentric angle, find the condition that
four points a, /3, y, t should lie on the same circle (Joachimsthal, Crelle, xxxvi. 

 books.google.com The characteristic circle of a sphere of a Dupin series is the locus of its points of
contact with the spheres of the conjugate ... on the positions of the latter*
Remembering Joachimsthal's theorem about the evolutes of curves, * Dupin, loc.
cifc., pp. 

 books.google.com If OP, OQ are the tangents from O to the circle x2 + y2 + 2gx + 2fy + c = 0, find the
equations of PQ and the circle OPQ. ... 15 The quadratic equation which
expresses that A lies on the 12.41] THE GENERAL CONIC 225 Joachimsthal's
Method in ... 

 