"Arithmetically" Quotes from Famous Books
 ... algebraically, or arithmetically. If we divide Pn by Qn, we shall find a series agreeing with the known series for tan x, as far as n ...
— A Budget of Paradoxes, Volume II (of II) • Augustus de Morgan
... quantitative unity is attained through a greater variety of processes. Thus, in complex works of art, what at first appears to be an unsymmetrical composition, is, if beautiful, only a subtle symmetry. There is present, of course, an arithmetically unequal division of horizontal extent, aside from the filling. But our pleasure in this, without filling, has been seen to be also a pleasure in symmetry. We have, then, the symmetry of equally divided extents and of unequally divided extents. They have in common bilateral equivalence ...
— Harvard Psychological Studies, Volume 1 • Various
... her relations: and we have learnt by logic that a stone is not an animal, and conversely that an animal is not a stone. I really think a man talking logic on the stage might be made as diverting as the character of the Apprentice who is arithmetically mad; pray read it: my father read it to us a few nights ago, and though I had a most violent headache, so that I was forced to hold my head on both sides whilst I laughed, yet I could not refrain. ...
— The Life And Letters Of Maria Edgeworth, Vol. 1 • Maria Edgeworth
... mathematical rule. As the stems grow on, leaf after leaf appears exactly in its predestined place, producing a perfect symmetry;—a symnetry [tr. note: sic] which manifests itself not in one single monotonous pattern for all plants, but in a definite number of forms exhibited by different species, and arithmetically expressed by the series of fractions, 1/2, 1/3, 2/5, 3/8, 5/13, 8/21, etc., according as the formative energy in its spiral course up the developing stem lays down at corresponding intervals 2, 3, 5, 8, 13, or ...
— Evolution - An Investigation and a Critique • Theodore Graebner
... other four, and yet it is possible that these four dissenting states should contain more than half of all the population of the confederation. It would be very easy to put a proposition, in which it might be demonstrated arithmetically, that the constitution could have been adopted against a considerable majority of whole numbers. In the face of such a fact, it is folly to suppose the term "people" is used in any other than a conventional sense. It is well known, in addition to ...
— Recollections of Europe • J. Fenimore Cooper |
