Concept
Ratio
Overview
quotient of two numbers or quantities of the same kind
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
In the original texts
Passages from public-domain books where Ratio is discussed.
Two sets of four points each are defined as having the same anharmonic ratio, when (1) each set of four lies in one straight line, and (2) corresponding points of different sets lie two by two on four straight lines through a single point, or when both sets have this relation to any third set[123]. And reciprocally: Two sets of four straight lines are defined as having the same anharmonic ratio when (1) each set of…
Bertrand Russell, An essay on the foundations of geometry
states what it is; names the idea; opens on it
On looking closer, it is, however, apparent that in this progression quantity returns to itself: for the meaning of this progression, so far as thought goes, is the fact that number is determined by number. And this gives the quantitative ratio. Take, for example, the ratio 2:4. Here we have two magnitudes (not counted in their several immediate values) in which we are only concerned with their mutual relations.
Georg Wilhelm Friedrich Hegel, The Logic of Hegel
names the idea; states what it is
Though it is not possible to calculate what ratio these two tendencies had to each other in the genetic spheroid which produced each planet, it is possible to calculate where each was the greatest and where the least. While it is true that the ratio which centrifugal force now bears to gravity at the equator of each planet, differs widely from that which it bore during the earlier stages of concentration; and while…
Herbert Spencer, Essays
names the idea; states what it is; opens on it
At a given stage of development of engineering and of the means of communication, the discovery of new gold or silver fields become the decisive factor. In ancient Asia the ratio of gold to silver was 6 to 1 or 8 to 1; the latter ratio prevailed in China and Japan as late as the beginning of the nineteenth century; 10 to 1, the ratio in Xenophon’s time, may be considered as the average ratio of the middle period of…
Karl Marx, A Contribution to the Critique of Political Economy
names the idea
Thus as God knows only by His essence, it follows that He does not know what the creature is in its essence, so as to know "what it is," which is to have proper knowledge of it. Obj. 3: Further, proper knowledge of a thing can come only through its proper ratio [i.e., concept]. But as God knows all things by His essence, it seems that He does not know each thing by its proper ratio; for one thing cannot be the…
Aquinas Thomas, Summa Theologica, Part I
names the idea; states what it is
Philosophers who discussed Ratio
Related ideas
- Golden ratio
- Ancient Greek
- Latin
- Mathematics
- Rational number
- Natural number
- Number
- Euclid's Elements
- Archimedean property
- Pythagoreanism
- Logos
- Square root of 2
- Eudoxus of Cnidus
- Circle
- Eleventh edition of the Encyclopædia Britannica
- Antecedent (logic)
- Consequent
Place in the tradition
Part of Dramatism.