Final answer:
The name 'Osage Cuesta' does not come from the Latin for "beautiful precipice", so the statement is false, and it comes from the Native American Osage Nation. Additionally, the Lecompton Constitution was pro-slavery and did not show the dominance of the Free Soilers.
Step-by-step explanation:
The statement that the name of the Kansan region Osage Cuesta comes from the Latin word for "beautiful precipice" is False. The word 'Osage' is actually derived from the Osage Nation, a Native American tribe from the Midwest, and 'cuesta' is a term in geology that describes a hill or ridge with a gentle slope on one side, and a steep slope on the other. The description provided gives a sense of the natural beauty and geological formation of the area but does not confirm the origin of the name 'Osage Cuesta' being from the Latin for "beautiful precipice". In regards to the second question, it is False that the proposed Lecompton Constitution in Kansas territory showed the dominance of the Free Soilers. The Lecompton Constitution was a pro-slavery document, and it was supported by pro-slavery settlers. The Free Soilers were an anti-slavery group that opposed this constitution, favoring free soil—where slavery was banned.