Volume 1 / Part 5 — *217. ON SEGMENTS OF SUMS AND CONVERSES.
Reading edition
*217. ON SEGMENTS OF SUMS AND CONVERSES.
Summary of *217.
The purpose of the present number is to prove *217·43, which is required in the theory of real numbers (Part VI, Section A), where will be the series of positive ratios including zero, will be the series of negative ratios in the order from zero to - (both excluded), the real number zero, and and two different series either of which may be taken as the series of negative and positive real numbers. In virtue of *217·43, these two series are ordinally similar.
*217·1.
*217·11.
*217·12.
*217·13.
*217·14.
*217·15.
*217·16.
Dem.
*217·17.
*217·18.
Dem.
*217·2.
Dem.
*217·21.
Dem.
*217·22.
Dem.
*217·23.
Dem.
*217·24.
*217·25.
*217·3.
*217·301.
Dem.
*217·31.
Dem.
*217·32.
Dem.
*217·33.
Dem.
*217·34.
Dem.
*217·35.
Dem.
*217·36.
Dem.
*217·37.
*217·38.
*217·4.
*217·41.
*217·411.
*217·42.
*217·43.