As soon as an Analytical Engine exists, it will necessarily guide the future course of the science. Whenever any result is sought by its aid, the question will then arise — by what course of calculation can these results be arrived at by the machine in the shortest time?

The proportion between the velocity with which men or animals move, and the weights they carry, is a matter of considerable importance, particularly in military affairs.

A tool is usually more simple than a machine; it is generally used with the hand, whilst a machine is frequently moved by animal or steam power.

In mathematics we have long since drawn the rein, and given over a hopeless race.

At each increase of knowledge, as well as on the contrivance of every new tool, human labour becomes abridged.