How we cite our quotes: (Article.Sentence)
Quote #1
No person shall be accused, arrested, or imprisoned except in the cases and according to the forms prescribed by law. Any one soliciting, transmitting, executing, or causing to be executed, any arbitrary order, shall be punished. But any citizen summoned or arrested in virtue of the law shall submit without delay, as resistance constitutes an offense. (7.1-3)
No more arbitrarily doing things, especially when it comes to arresting people. The authors of the Declaration are telling everyone that France is now a place of rules and order. They're also telling the monarchy to stop it will the unlawful imprisonments.
Quote #2
The law shall provide for such punishments only as are strictly and obviously necessary, and no one shall suffer punishment except it be legally inflicted in virtue of a law passed and promulgated before the commission of the offense. (8.1)
Having a law in place that explains how to punish people means that society has order and you can't just go around arresting and punishing however you want. That would be anarchy. The representatives don't agree on much, but they're definitely anti-anarchy.
Quote #3
As all persons are held innocent until they shall have been declared guilty, if arrest shall be deemed indispensable, all harshness not essential to the securing of the prisoner's person shall be severely repressed by law. (9.1)
They want people to feel confident in the system. Remember that the National Assembly is auditioning to be the new government; they're trying to create a certain feeling of security. They want the French people to have faith that the rules will punish only the guilty.