Use "sagaciously" in a sentence

1. The Lord of the Trolls nodded his head sagaciously, in complete agreement with the philosophy

2. Sagaciously obliterating her thoughts and feelings, she continued

3. Richard sagaciously saw, as Jussieu observes, that this genus should still be retained among the Malpighiaceae

4. But, peradventure, it may be sagaciously urged, how is this? We thought the tissued, infiltrated head of the Sperm Whale, was the lightest and most corky part about him; and yet thou makest it sink in an element of a far greater specific gravity than itself