Composition:
The moderate and the radicals were two distinct factions within the political landscape during the late 18th and early 19th centuries. Both factions emerged during the French Revolution and played significant roles in shaping political ideologies and the course of history.

The moderate faction consisted of individuals who advocated for gradual changes and reforms within the existing political and social systems. Many moderate leaders belonged to the bourgeoisie or the middle class. They sought to maintain a balance between the monarchy and the demands of the people. Prominent moderate figures included Lafayette and Mirabeau in France and Edmund Burke in Britain.

On the other hand, the radicals were more radical in their approach and aimed for swift and radical transformations of the political and social order. They often belonged to the lower classes and were driven by a desire for more equality and justice. Key radical figures included Maximilien Robespierre and Georges Danton in France and Thomas Paine in Britain.

Objectives:
The objectives of the moderate and radical factions differed significantly:

Moderates:
1. Preservation of a constitutional monarchy: Moderates sought to establish a constitutional monarchy where the power of the monarch would be limited by a constitution.
2. Gradual reforms: They aimed to bring about changes gradually and peacefully, avoiding radical upheavals.
3. Protection of property rights: Moderates aimed to protect the property rights of the bourgeoisie and safeguard the existing economic order.
4. Political stability: They aimed to maintain political stability and avoid chaos or violence.

Radicals:
1. Overthrow of monarchy: Radicals aimed to completely eliminate the monarchy and establish a republic.
2. Swift and radical reforms: They advocated for immediate and radical changes in the social, political, and economic structures.
3. Redistribution of wealth: Radicals sought to redistribute wealth and promote greater equality among the classes.
4. Popular participation: They aimed to involve the masses in decision-making and promote direct democracy.

Methods:
The moderate and radical factions employed different methods to achieve their objectives:

Moderates:
1. Negotiation and compromise: Moderates believed in the power of dialogue and compromise to bring about gradual reforms.
2. Legal and peaceful means: They worked within the existing legal framework to achieve their goals and avoided violent or revolutionary methods.
3. Cooperation with the ruling elites: Moderates sought to cooperate with the ruling elites and gain their support for their reformist agenda.

Radicals:
1. Revolutionary actions: Radicals were more willing to resort to revolutionary actions, such as uprisings and armed resistance, to achieve their objectives.
2. Mass mobilization: They aimed to mobilize the masses and gain popular support for their radical agenda.
3. Direct action: Radicals were more inclined to engage in direct action, such as protests and strikes, to exert pressure on the ruling elites and bring about change.

In summary, the moderate faction advocated for gradual reforms, preservation of the monarchy, and peaceful means, while the radicals aimed for radical transformations, the overthrow of the monarchy, and were more willing to employ revolutionary methods to achieve their goals.