Answer:
Greatest figure in ancient astronomy
Gathered up the wisdom
Illumined it with his theories
Astonishing verisimilitude to the actual facts
Explanation:
The options you were given are the following:
Our task is to determine which phrases praise Ptolemy for his work. These phrases will contain subjective language - language that reveals the author's feelings, opinions, beliefs, or assumptions about what he's writing about. All phrases, except for the first one, contain this type of language. The first phrase contains neutral, objective language, which is why it isn't one of the correct options.
Words that Robert Stawell Ball uses to commend Ptolemy are greatest, wisdom, illuminated, and astonishing. All of these words have a positive connotation, i.e. evoke positive emotions in us.