for, in the passages we have quoted wherein there is mention of general ideas, it is always supposed that they are formed by ABSTRACTION, after the manner set forth in sections 8 and 9. Now, if we will annex a meaning to our words, and speak only of what we can conceive, I believe we shall acknowledge that an idea which, considered in itself, is particular, becomes general by being made to represent or stand for all other particular ideas of the SAME SORT. To make this plain by an example, suppose a geometrician is demonstrating the method of cutting a line in two equal parts.
zeren goian aipaturiko pasarteetan ideia orokorrez ihardutean, beti ematen baita "abstrakzio" bidez eratuak direla, 8 eta 9 ataletan finkatutakoaren arabera. Alabaina, gure hitzei esanahi bat egotzi nahi badiegu eta irudika dezakegunaz bakarrik mintzatu, onartuko dugula uste dut nik ideia bat, bere horretan partikularra dena, orokor bilakatzen dela, bilakatu, mota bereko beste ideia partikular guztiak errepresentatzeko edo ordezteko jartzen denean. Adibide batez argitzeko, eman dezagun geometra bat ari dela lerro bat bi zati berdinetan ebakitzeko prozedura demostratzen.