In fact the way that Aristarchus expresses his proportions is, according to Heath, similar to other expressions which occur in Greek writings and indicated that Aristarchus considered that the radius of the sphere of the fixed stars was infinitely large compared with the orbit of the earth.
Sa katunayan ang paraan na Aristarchus expresses kanyang proporsyon ay, ayon sa Heath, katulad sa iba pang mga expression na nagaganap sa Greek writings at ipinababatid na Aristarchus itinuturing na ang radius ng kalipunan ng taning na stars ay walang hanggan malaki kumpara sa orbita ng daigdig.