mensurable's Usage Examples:

The attempt to apply numerical methods to the comparison of geometrical quantities led to the doctrine of incommensurables, and to that of the infinite divisibility of space.

These results were given by Lambert, and used by him to !prove that r and ir 2 are incommensurable, and also any commensurable power of e.

converges to an incommensurable limit if after some finite value of n the condition an” If in the infinite continued fraction of the second class an?bn+i for all values of n, it converges to a finite limit not greater than unity.

incommensurable values.

And it occurs to no one that to admit a greatness not commensurable with the standard of right and wrong is merely to admit one's own nothingness and immeasurable meanness.

- In the ordinary tables of logarithms the natural numbers are all integers, while the logarithms tabulated are incommensurable.

"For the application of continued fractions to the problem " To find the fraction, whose denominator does not exceed a given integer D, which shall most closely approximate (by excess or defect, as may be assigned) to a given number commensurable or incommensurable," the reader is referred to G.

For the application of continued fractions to the problem " To find the fraction, whose denominator does not exceed a given integer D, which shall most closely approximate (by excess or defect, as may be assigned) to a given number commensurable or incommensurable," the reader is referred to G.

"His incommensurable and indescribable masterpiece of mingled humour, wisdom, satire, erudition, indecency, profundity, levity, imagination, realism, reflects the whole age in its mirror of hyperAristophanic farce.

If this be applied to the right-hand side of the identity m m m 2 m2 tan-- - n n -3n-5n" it follows that the tangent of every arc commensurable with the radius is irrational, so that, as a particular case, an arc of 45 having its tangent rational, must be incommensurable with the radius; that is to say, 3r/4 is an incommensurable number.

If this is the case, the apsidal angle must evidently be commensurable with -ir, and since it cannot vary discontinuously the apsidal angle in a nearly circular orbit must be constant.

Any quantity, commensurable or incommensurable, can be expressed uniquely as a simple continued fraction, terminating in the case of a commensurable quantity, non-terminating in the case of an incommensurable quantity.

It is obvious that every terminating continued fraction reduces to a commensurable number.

Synonyms:

mensural, measured,

Antonyms:

unrhythmical, hurried, unintended,