About 2,130 results
|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, ...
|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.
|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-.
|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, ...
|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,
|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 ...
|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.
|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.
|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.
|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 ...