_; at
another time, again in _Trine_, and _Oriental_, this Author cannot
conceive, how _Saturn_ could in all these different times have no
difference in its _Phasis_, or keep always the same _Shadow_; seeing that,
according to the _Hypothesis_ of the _Ring_, when it was _Oriental_, it
must cast the _Shadow_ upon the _left_ side of the _Ring_ beneath, without
casting any on the _right_ side: and when it was _Occidental_, it could not
but cast it on the _right_ side beneath, and nothing of it on the other.

Concerning the _Shadow above_, which _Campani_ affirms to be made by the
_Ring_ upon the Body of _Saturn_, M. _Auzout_ judges, that there could be
no such _Phaenomenon_, by reason of its _Northern Latitude_ at the times,
wherein the _Observations_ were made, _vid._ in _April_ 1663; in the midst
of _August_, and the beginning of _October_, next following, and in _April_
1664, except it were in _October_, and the _Shadow_ strong enough to become
_visible_.

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