Since that time it has been understood that the use of the phrase "infinitely small" in any mathematical argument is a figurative mode of expression pointing to a limiting process.
The loss which a body sustains by the radiation of heat is as slight as the æther is subtile or rare; thus it is infinitely small, where the æther is infinitely light.
Every crystal is therefore, and especially by reason of the infinity of the subordinate poles, crystallized again upon an infinitely small scale, or in other words it consists of infinitely numerous crystals.
The sonorous figures are formed in the auditory organ, and even in the auditory nerves, just as they have been represented upon an infinitely small scale in the air.
He maintained also, against the theory of Galileo, that bodies do not begin to move with an infinitely small velocity, but have a certain degree of motion at the first instance, which is afterwards accelerated.
By infinitesimals; ininfinitely small quantities; in an infinitesimal degree.
Abandoning the conception of cause, mathematics seeks law, that is, the property common to all unknown, infinitely small, elements.
Arriving at infinitesimals, mathematics, the most exact of sciences, abandons the process of analysis and enters on the new process of the integration of unknown, infinitely small, quantities.
Without bounds or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity.
Defn: By infinitesimals; in infinitely small quantities; in an infinitesimal degree.
It differs from the method of fluxions in treating these differences as finite, instead of infinitely small, and is equivalent to the calculus of finite differences.
Defn: An infinitely small quantity; that which is less than any assignable quantity.
On the different orders of infinitely small quantities.
Infinitely small quantities of a certain order may be neglected in respect of those of an inferior order.
This is tantamount to an assumption that [lambda] is infinitely small.
According to common optics, where images are absolute, the diffraction pattern is supposed to be infinitely small, and two radiant points, however near together, form separated images.
The inevitable, logical conclusion from that is that such a God would give his children an infinitely small amount of evil and an infinitely large amount of good.
The matter may of course be treated analytically, but we shall only require the formula for infinitely small displacements.
The analogy between the mathematical relations of infinitely small displacements on the one hand and those of force-systems on the other enables us immediately to convert any theorem in the one subject into a theorem in the other.
In the analogous theory of infinitely small displacements of a solid, a "null-line" is a line such that the lengthwise displacement of any point on it is zero.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "infinitely small" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
