I am a summoner which gives me the ability to have an eidolon and also use an ability to summon monsters. The question here is related but different.
Under unchained summoner summon monster
Drawing on this ability uses up the same power that the summoner uses to call his eidolon.
Can a summoner use the spell summon eidolon to have the eidolon out and use their summon ability? I believe that its only the ritual to summon the eidolon counts and not the spell.