"Rectilinear" Quotes from Famous Books
 ... deal with prime numbers; in one of these ("Sur les nombres premiers," 1850) he established the existence of limits within which must be comprised the sum of the logarithms of the primes inferior to a given number. Another question to which he devoted much attention was that of obtaining rectilinear motion by linkage. The parallel motion known by his name is a three-bar linkage, which gives a very close approximation to exact rectilinear motion, but in spite of all his efforts he failed to devise one that produced absolutely true rectilinear ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various
... man's mind is, the less ready will he be to let an assertion pass without examination as obviously true. Thus Euclid makes a famous assumption—the 'parallel-postulate'—which amounts to the assertion that if three of the angles of a rectilinear quadrilateral are right angles, the fourth will be a right angle. The mathematicians of the eighteenth and early nineteenth centuries, again, generally assumed that if a function is continuous it can always be differentiated. A comparatively unphilosophical mind may let such plausible assertions ...
— Recent Developments in European Thought • Various
... notwithstanding all changes for the worse the building is still a beautiful structure. Very effective especially is the happy combination of the various lines and forms here brought together—the rectilinear and the semicircular sides of the octagon, the octagonal fabric and the round dome that crowns it, the horizontal entablature stretched along the summit of the lower story of columns and the arches that leap from ...
— Byzantine Churches in Constantinople - Their History and Architecture • Alexander Van Millingen
... opponent might say, 'resolve your intellect into a kind of slush.' 'Even so,' I make reply,—'if you will consent to use no politer word.' For humanism, conceiving the more 'true' as the more 'satisfactory' (Dewey's term), has sincerely to renounce rectilinear arguments and ancient ideals of rigor and finality. It is in just this temper of renunciation, so different from that of pyrrhonistic scepticism, that the spirit of humanism essentially consists. Satisfactoriness has to be measured by a multitude ...
— The Meaning of Truth • William James
... fundamental division of figures into curvilinear and rectilinear, this dictum decides, that, in general, a curved outline is more beautiful than a right-lined figure. For a straight-lined figure necessarily requires at least half as many laws as it has sides, while a curvilinear outline requires, ...
— Atlantic Monthly, Vol. 5, No. 30, April, 1860 • Various
... a single impulse, and at the same moment was attracted to a fixed centre by a force which diminished as the square of the distance at which it operated increased, such a body, thus deflected from its rectilinear path, would describe an ellipse," etc. Not only does this deduction, being ...
— Atlantic Monthly Vol. 6, No. 33, July, 1860 • Various
... sinks a step below the insect, in the mode and circumstances of impregnation. To this we will venture to add, the predominance of length, as the form of growth in so large a proportion of the known orders of fishes, and not less of their rectilineal path of motion. In all other respects, the correspondence combined with the progress in individuation, is striking in the whole detail. Thus the eye, in addition to its moveability, has besides acquired a saline moisture in its higher development, as accordant with the life of ...
— Hints towards the formation of a more comprehensive theory of life. • Samuel Taylor Coleridge
... channel, it soon becomes a stream of some breadth and consequence, and meets a river flowing from the east, from the direction of Urori, with which it conflows in the Rikwa Plain, and empties about sixty rectilineal miles further west into the Tanganika Lake. The Rungwa River, I am informed, is considered as a boundary line between the country of Usowa on the north, and Ufipa on ...
— How I Found Livingstone • Sir Henry M. Stanley |
