Final answer:
The question asks about alternative names considered for 'Delta Chi', but lacks sufficient context to accurately identify the correct names or the specific organization in question.
Step-by-step explanation:
The question seems to revolve around the historical consideration of alternative names for Delta Chi, which refers to a fraternity, likely originating from a Greek-letter organizational name. However, not enough context is provided to accurately determine what specific organization is being referred to or in what historical context the alternatives were considered. Academic societies and fraternities often use Greek letters to represent their organization, and names like Theta Alpha, Beta Alpha, Sigma Phi, Kappa Alpha, Alpha Delta, Epsilon Zeta, Gamma Sigma, and Phi Beta are all indicative of this traditional naming scheme. It appears that the question asked for two alternative names that were considered before the name Delta Chi was chosen. Unfortunately, without specific historical references or additional information, it is impossible to provide a concrete answer to this question.