The TC may exist even if the body has non-homogeneous isotropic thermal properties, but when this condition is not verified, it's not possible to determine its position by using the simple geometric method shown above, and the transformation will not be a homothety.
32.
His best known work ( 1911 ) dealt with the description of weather prediction with a geometric method for dividing land areas, that although known from Dirichlet Tessellation ( 1850 ) and the Voronoi Diagram ( 1908 ), apparently had never been used in meteorology for interpolation of measurements.
33.
Although from 1714 to 1828 the British government did indeed sponsor a ?0, 000 prize for finding a solution to the longitude problem, exactly why the connection was made to squaring the circle is not clear; especially since two non-geometric methods ( the astronomical chronometer ) had been found by the late 1760s.
34.
:: : : whereas with the geometric method, P ( Z = 1 ) tends to a limit of 1 / 4 ( because the area of the largest triangle, between the lines Y = X and Y = 2X, is always 1 / 4 and the areas of all the other triangles become negligible ).
35.
As far as I personally see it, the geometric methods are terribly complicated, the algebraic is pretty nice ( and by way of introducing these coordinates, the problem is almost trivial, which could be a nice info for the lead, too ), finally the Lie sphere idea puts the other ones to shame with respect to elegance and simplicity.
36.
For example, in his treatise on mineralogy, " Kitab al-Jamahir " ( " Book of Precious Stones " ), he is " the most study of India, he declares that " to execute our project, it has not been possible to follow the geometric method " and develops comparative sociology as a scientific method in the field.
37.
There the space part of the Schwarzchild geometric is worked out by purely geometric methods . Can you, by poor-man s reasoning, derive what I never have, the time part ? He could and did, and wrote it all up in a beautifully clear account . . . . his second junior paper . . . entitled Within a Context, was done with another advisor, and dealt with an entirely different part of physics, the Einstein-Rosen-Podolsky experiment and delayed choice experiments in general . . . this paper was so outstanding . ..
