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.
Quote #4
The security of the rights of man and of the citizen requires public military forces. These forces are, therefore, established for the good of all and not for the personal advantage of those to whom they shall be intrusted. (12.1-2)
A military creates order. It can be a balancing act as to how much order you want them to inflict, but most would agree that societies need at least some. The author's of this also want people to think that the military will be there to protect, not to bully.
Quote #5
Since property is an inviolable and sacred right, no one shall be deprived thereof except where public necessity, legally determined, shall clearly demand it, and then only on condition that the owner shall have been previously and equitably indemnified. (17.1)
Anyone who's ever been robbed of their property knows the feeling of a lack of rules and order. Preventing theft is a basic when creating societal laws, and when trying to get the people on your side.