But as to the _Shadow below_, he agrees with _Campani_, that it does appear, yet not as he notes it, seeing that it must be sometimes on the one side, sometimes on the other; and towards the _Quadrat_ with the _Sun_ it must appear biggest, as _indeed_ he affirms to have seen it himself _this_ year, insomuch that sometimes it seemed to him, that it covered the whole _Ring_, and that the _Shadow_, joyning with the obscure space between both, did interrupt the circumference of the _Ring_; but beholding it at other times in a cleer Sky, and when there was no Trepidation of the Air, {72} he thought, that he saw also the Light continued from without, although very slender. But he acknowledges, that he could never yet _precisely_ determine, by how much the largeness of the _Ring_ was bigger than the _Diameter_ of _Saturn's_ Body. As for the proportion of the Length to the Breadth, he affirms, to have alwaies estimated it to be two and a half, or very neer so; and to have found in his _Observations_, that in _January_ last, one time, the length of _Saturn_ was 12 _Lines_, and the breadth 5. Another time, the length was 12. _Lines_, and the breadth 4. and this by a peculiar method of his own. But yet he acknowleges also, that sometimes he hath estimated it as 7. to 3. and at other times as 13. to 5. and that if there do not happen a change in the magnitude of the _Ring_ (as it is not likely there does) that must needs proceed from the Constitution of the air, or of the Glass's having more or less _Aperture_, or from the difficulty of making an exact estimate of their proportions. However it is not much wide (saith he) of two and a half, although _Campani_ make the length of the _Ring_ but double to its breadth. Monsieur _Auzout_ believes, that he was one of the first that have well observed this shadow of _Saturn's_ Body upon its _Rings_ which he affirms happened two years since; when, observing in _July_, for the first time, with a _Telescope_ of 21. and then another of 27. foot, he perceived, that the _Angle_ of the obscure space on the _right side_ beneath, was bigger and wider, than the three other _Angles_, and that some interruption appear'd _there_, between the _Ring_, and the _Body of Saturn_; of which he saith to have given notice from that time to all his friends, and in particular, as soon as conveniently he could, to Monsieur _Hugens_. He confesseth, that he hath not had the opportunity of observing _Saturn_ in his _Oriental Quadrat_; yet he doubts not, but that the _shadow_ appears on the _Left-side_, considering, that the _Existence_ of the _Ring_ can be no longer doubted of, after so many _Observations_ of the _shadow_ cast by _Saturn's_ Body upon it, according as it must happen, following that _Hypothesis_; there being no reason, why it should cast the said _shadow_ on one side, and not on the other.