# Infinitesimally Sentence Examples

But originally they existed in

**infinitesimally**small fragments of themselves, endless in number and inextricably combined throughout the universe.A curve came to be treated as a sequence of infinitesimal straight lines; a tangent as the extension of an infinitesimal chord; a surface or area as a sequence of

**infinitesimally**narrow strips, and a solid as a collection of**infinitesimally**small cubes (See Infinitesimal Calculus).In the article Refraction it is shown that a ray of light traversing a homogeneous medium is deviated from its rectilinear path when it enters a medium of different refractive index; it is therefore readily seen that the path of a ray through continuously varying media is necessarily curvilinear, being compounded of an infinite number of

**infinitesimally**small rectilinear deviations.To study the laws of history we must completely change the subject of our observation, must leave aside kings, ministers, and generals, and study the common,

**infinitesimally**small elements by which the masses are moved.In this he gave equations resulting from the hypothesis that the magnetism of a ship is partly due to the permanent magnetism of hard iron and partly to the transient induced magnetism of soft iron; that the latter is proportional to the intensity of the inducing force, and that the length of the needle is

**infinitesimally**small compared to the distance of the surrounding iron.The term "perfect gas" is applied to an imaginary substance in which there is no frictional retardation of molecular motion; or, in other words, the time during which any molecule is influenced by other molecules is

**infinitesimally**small compared with the time during which it traverses its mean free path.At any one of the m 2 -26 - 3K points the variable curve and the consecutive curve have tangents distinct from yet

**infinitesimally**near to each other, and each of these two tangents is also**infinitesimally**near to one of the n 2 -2T-3t common tangents of the two curves; whence, attending only to the variable curve, and considering the consecutive curve as coming into actual coincidence with it, the n 2 -2T-3c common tangents are the tangents to the variable curve at the m 2 -26-3K points respectively, and the envelope is at the same time generated by the m 2 -26-3K points, and enveloped by the n2-2T-3c tangents; we have thus a dual generation of the envelope, which only differs from Pliicker's dual generation, in that in place of a single point and tangent we have the group of m2-26-3K points and n 2 -2T-3c tangents.