progression - you know how that piles up.
A man cannot tell whether Apelles, or Albert Durer, were the more trifler; whereof the one, would make a personage by geometrical
proportions; the other, by taking the best parts out of divers faces, to make one excellent.
Among the branches of philosophy, I had, at an earlier period, given some attention to logic, and among those of the mathematics to geometrical
analysis and algebra, -- three arts or sciences which ought, as I conceived, to contribute something to my design.
If the Sperm Whale be physiognomically a Sphinx, to the phrenologist his brain seems that geometrical
circle which it is impossible to square.
But if we are allowed to sit at meat with her,--ever a royal condescension,--it is ours at least to pass her the salt, to see that she is never kept waiting a moment for the mustard or the pepper, to cut the bread for her with geometrical
precision, and to lean as near her warm shoulder as we dare to pour out for her the sacred wine.
Only when we have admitted the conception of the infinitely small, and the resulting geometrical
progression with a common ratio of one tenth, and have found the sum of this progression to infinity, do we reach a solution of the problem.
Let the reader picture to himself a series of visages presenting successively all geometrical
forms, from the triangle to the trapezium, from the cone to the polyhedron; all human expressions, from wrath to lewdness; all ages, from the wrinkles of the new-born babe to the wrinkles of the aged and dying; all religious phantasmagories, from Faun to Beelzebub; all animal profiles, from the maw to the beak, from the jowl to the muzzle.
Every scheme of this caliber is completed by its results, like a geometrical
The objects of geometrical
inquiry are so entirely abstracted from those pursuits which stir up and put in motion the unruly passions of the human heart, that mankind, without difficulty, adopt not only the more simple theorems of the science, but even those abstruse paradoxes which, however they may appear susceptible of demonstration, are at variance with the natural conceptions which the mind, without the aid of philosophy, would be led to entertain upon the subject.
It will be obvious, to every child in Spaceland who has touched the threshold of Geometrical
Studies, that, if I can bring my eye so that its glance may bisect an angle (A) of the approaching stranger, my view will lie as it were evenly between his two sides that are next to me (viz.
In the next chapter the Struggle for Existence amongst all organic beings throughout the world, which inevitably follows from their high geometrical
powers of increase, will be treated of.
He was dragging along some pointed flat pieces of ice, which he laid together in all possible ways, for he wanted to make something with them; just as we have little flat pieces of wood to make geometrical
figures with, called the Chinese Puzzle.